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Dr. Somasundaram K.

Chairperson, Department of Mathematics, School of Physical Sciences, Coimbatore | Professor, Department of Mathematics, School of Physical Sciences, Coimbatore

Qualification: MPhil, MSc, Ph.D
s_sundaram(at)cb.amrita.edu
Ph: +91- 422 – 2685600
Google Scholar Profile
Scopus ID
Research Interest: Graph Theory, Graph Theory Algorithms in Network on Chip, Multilinear Algebra

Bio

Dr. Somasundaram K. currently serves as Chairperson and Professor in the Department of Mathematics, School of Physical Sciences, Coimbatore Campus. He is chairman of the board of studies in Mathematics and Data Science. His research areas include Multilinear Algebra, Graph Theory, and Graph Theory Algorithms in Network on Chip.

Publications

Journal Article

Year : 2024

Weighted PI index of edge corona product of some classes of graphs

Cite this Research Publication : Rangasamy Hemalatha , J. Geetha , K. Somasundaram, Weighted PI index of edge corona product of some classes of graphs, Discrete Mathematics, Algorithms and Applications, 2024, 2450087.

Year : 2024

Bound for the k-Fault-Tolerant Power-Domination Number

Cite this Research Publication : Lakshmi Girish,Somasundaram K, Bound for the k-Fault-Tolerant Power-Domination Number, Symmetry 2024, 16(7), 781.

Year : 2024

Co-Secure Domination in Jump Graphs for Enhanced Security

Cite this Research Publication : Manjusha Pothuvath, Radha Rajamani Iyer, Ahmad Asiri,Somasundaram K, Co-Secure Domination in Jump Graphs for Enhanced Security, Mathematics 2024, 12(19), 3077.

Year : 2024

Total chromatic number for certain classes of product graphs

Cite this Research Publication : TP Sandhiya, J Geetha, K Somasundaram,"Total chromatic number for certain classes of product graphs," Discrete Mathematics, Algorithms and Applications, 2023, DOI: https://doi.org/10.1142/S1793830923500994

Publisher : World Scientific Publishing Company

Year : 2024

Chromatic Choosability for Some Classes of Perfect Graphs

Cite this Research Publication : NK Vasudevan, J Geetha, K Somasundaram, "Chromatic Choosability for Some Classes of Perfect Graphs", Discrete Mathematics, Algorithms and Applications, DOI: https://doi.org/10.1142/S1793830924500332, 2024.

Publisher : World Scientific Publishing Company

Year : 2024

An Analysis of Causative Factors for Road Accidents using PAM and Hierarchical Clustering Techniques

Cite this Research Publication : Amir H. Gandom Pendyala Manasa, Pragya Ananth, Priyadarshini Natarajan, K. Somasundaram, E. R. Rajkumar, Kattur Soundarapandian Ravichandran, Venkatesh Balasubramanian, “An Analysis of Causative Factors for Road Accidents using PAM and Hierarchical Clustering Techniques”, Engineering Reports, 2024, DOI: https://doi.org/10.1002/eng2.12793

Publisher : Wiley Online Library

Year : 2024

Total colorings of some classes of four regular circulant graphs

Cite this Research Publication : R Navaneeth, J Geetha, K Somasundaram, Hung-Lin Fu, "Total colorings of some classes of four regular circulant graphs," AKCE International Journal of Graphs and Combinatorics 21 (1), 1-3, 2024.

Publisher : Taylor & Francis

Year : 2023

Total colorings-a survey

Cite this Research Publication : Jayabalan Geetha, Narayanan Narayanan, Kanagasabapathi Somasundaram, "Total colorings-a survey," AKCE International Journal of Graphs and Combinatorics, 20(3), 339–351. https://doi.org/10.1080/09728600.2023.2187960, 2023

Publisher : Taylor & Francis

Year : 2023

Total, equitable and neighbor-sum distinguishing total colorings of some classes of circulant graphs

Cite this Research Publication : Shantharam Prajnanaswaroopa, Jayabalan Geetha, Kanagasabapathi Somasundaram, "Total, equitable and neighbor-sum distinguishing total colorings of some classes of circulant graphs," Bulletin of the ICA, Volume 99 (2023), 116–132

Publisher : Bulletin of the ICA

Year : 2023

Lih Wang and Dittert Conjectures on Permanents

Cite this Research Publication : K Somasundaram, "Lih Wang and Dittert Conjectures on Permanents," arXiv preprint arXiv:2312.00464, 2023 DOI: https://doi.org/10.48550/arXiv.2312.00464

Publisher : arXiv preprint arXiv:2312.00464

Year : 2023

Every Elementary Graph is Chromatic Choosable

Cite this Research Publication : NK Vasudevan, K Somasundaram, J Geetha, "Every Elementary Graph is Chromatic Choosable," arXiv preprint arXiv:2312.00430, 2023.

Publisher : arXiv preprint arXiv:2312.00430

Year : 2023

PI and Weighted PI Indices for Powers of Paths, Cycles and their Complements

Cite this Research Publication : Manju SC, J. Geetha and K. Somasundaram, “PI and Weighted PI Indices for Powers of Paths, Cycles and their Complements”, Journal of Intelligent & Fuzzy Systems, 44(1), 1439-1452, 2023.

Year : 2023

A Novel Variable Lie Hypergraph Technique for Cluster based routing in Opportunistic Networks

Cite this Research Publication : Supriya S, Swaminathan ,, K Somasundaram, “A Novel Variable Lie Hypergraph Technique for Cluster based routing in Opportunistic Networks”, Journal of Information Science and Engineering, 39(1), 91-109, 2023.

Year : 2023

Total, Equitable and Neighborhood Sum Distinguishing Total Colorings of Some Classes of Circulant Graphs

Cite this Research Publication : S. Prajnanaswaroopa, J. Geetha, K. Somasundaram, , “Total, Equitable and Neighborhood Sum Distinguishing Total Colorings of Some Classes of Circulant Graphs", Bulletin of the Institute of Combinatorics and its Applications, 99, 116-132, 2023.

Year : 2023

Graph Centrality Measure of Email Network

Cite this Research Publication : Tirumala Kumar, K. Somasundaram, T. Senthilkumar, “Graph Centrality Measure of Email Network”, the proceedings of ICNGCS-2023, Springer CCIS series, 2023.

Year : 2023

Total Coloring Conjecture: A Survey

Cite this Research Publication : J.Geetha, N.Narayanan and K. Somasundaram, “Total Coloring Conjecture: A Survey”, AKCE International Journal of Graphs and Combinatorics, available in online, 2023.

Year : 2023

Total chromatic number for some classes of Cayley graphs

Cite this Research Publication : S. Prajnanaswaroopa, J. Geetha, K. Somasundaram, , “Total Chromatic Number for Some Classes of Cayley Graphs", Soft Computing, available online, 2023.

Publisher : Springer

Year : 2023

Total Coloring Conjecture on Certain Classes of Product Graphs

Cite this Research Publication : R.Vignesh, J. Geetha and K. Somasundaram, Total Coloring Conjecture on Certain Classes of Product Graphs, Electronic Journal of Graph Theory and Applications, accepted, 2023.

Year : 2023

Total Chromatic Number for Certain Classes of Lexicographic Product Graphs

Cite this Research Publication : Sandhiya T P, Geetha J and Somasundaram K, “Total Chromatic Number for Cer- tain Classes of Lexicographic Product Graphs” Communications in Combinatorics and Optimization, available in online, 2023.

Year : 2023

PI Index of Bicyclic Graphs

Cite this Research Publication : Manju SC, Somasundaram K., "PI Index of Bicyclic Graphs", Communications in Combinatorics and Optimization, doi: 10.22049/cco.2023.27817.1360, 2023

Year : 2022

Irregular colorings of certain classes of corona product and Sierpiński graphs

Cite this Research Publication : Iyer R.R., Somamsundaram K., Irregular colorings of certain classes of corona product and Sierpiński graphs, Journal of Discrete Mathematical Sciences and Cryptography,2022.

Year : 2022

Sombor Index of Edge Corona Product of Some Classes of Graphs

Cite this Research Publication : R., Hemalatha; Somasundaram, K., "Sombor Index of Edge Corona Product of Some Classes of Graphs," South East Asian Journal of Mathematics & Mathematical Sciences, 2022, Vol 18, Issue 3, p307

Publisher : South East Asian Journal of Mathematics & Mathematical Sciences

Year : 2022

Sambar Index for edge corono product

Cite this Research Publication : Hemalatha, and K. Somasundaram, Sambar Index for edge corono product, South East Asian Journal of Mathematics and Mathematical Sciences, 18(3), 307-316, 2022

Year : 2022

Advancements of MRI-based brain Tumor Segmentation from Traditional to Recent Trends- A Review

Cite this Research Publication : Kalaiselvi T, Padmapriya S T, Sriramakrishnan P, Somasundaram K., "Advancements of MRI-based brain Tumor Segmentation from Traditional to Recent Trends- A Review", Current Medical Imaging, Bentham Science, Vol. 18, No.12, pp. 1261-1275 , 2022. DOI: 10.2174/1573405617666211215111937

Year : 2022

Total Coloring of Some Classes of Cayley Graphs on Non-Abelian Groups

Cite this Research Publication : Prajnanaswaroopa S., Geetha J., Somasundaram K., Suksumran T., "Total Coloring of Some Classes of Cayley Graphs on Non-Abelian Groups", Symmetry 2022, 14, 2173. https://doi.org/10.3390/sym14102173

Year : 2022

Permanent dominance conjecture for derived partitions

Cite this Research Publication : KU Divya, K Somasundaram, "Permanent dominance conjecture for derived partitions", Bulletin of the ICA, Volume 95 (2022), 84–92

Year : 2022

Total colorings of certain classes of lexicographic product graphs

Cite this Research Publication : T. P. Sandhiya , J. Geetha and K. Somasundaram, "Total colorings of certain classes of lexicographic product graphs," Discrete Mathematics, Algorithms and Applications, Vol. 14, No. 03, 2150129 (2022), DOI: https://doi.org/10.1142/S1793830921501299

Year : 2022

Some Results on Majorization of Matrices

Cite this Research Publication : Divya K. Udayan and K. Somasundaram, "Some Results on Majorization of Matrices", Axioms 2022, 11(4), 146; https://doi.org/10.3390/axioms11040146

Year : 2022

Direct sum of star matrices

Cite this Research Publication : K.U. Divya and K. Somasundaram, "Direct sum of star matrices", Journal of Analysis and Applications, Vol. 20 (2022), No.1, pp.69-80, ISSN: 0972-5954, SAS International Publications

Publisher : SAS International Publications

Year : 2022

Padmakar-Ivan index of some types of perfect graphs

Cite this Research Publication : MS Chithrabhanu, K Somasundaram, "Padmakar-Ivan index of some types of perfect graphs," Discrete Mathematics Letters, 9, 92-99, 2022, DOI: 10.47443/dml.2021.s215

Year : 2022

On total coloring of some classes of regular graphs

Cite this Research Publication : Shantharam Prajnanaswaroopa, Jayabalan Geetha, Kanagasabapathi Somasundaram, Hung-Lin Fu, Narayanan Narayanan "On Total Coloring of Some Classes of Regular Graphs," Taiwanese Journal of Mathematics, Taiwanese J. Math. 26(4), 667-683, (August, 2022)

Publisher : Taiwanese J. Math.

Year : 2021

Total coloring of quasi-line graphs and inflated graphs

Cite this Research Publication : S. Mohan, J. Geetha and K. Somasundaram, "Total coloring of quasi-line graphs and inflated graphs", Discrete Mathematics, Algorithms and Applications, Vol. 13, No. 05, 2150060 (2021), DOI: https://doi.org/10.1142/S1793830921500609

Year : 2021

Total colorings of circulant graphs

Cite this Research Publication : J. Geetha, K. Somasundaram, Hung-Lin Fu, "Total colorings of circulant graphs", Discrete Mathematics, Algorithms and Applications, Vol. 13, No. 05, 2150050 (2021), DOI: https://doi.org/10.1142/S1793830921500506

Year : 2021

The Inequalities of Merris and Foregger for Permanents

Cite this Research Publication : Udayan, Divya K., and Kanagasabapathi Somasundaram, 2021, "The Inequalities of Merris and Foregger for Permanents," Symmetry 13, no. 10, 1782, https://doi.org/10.3390/sym13101782

Year : 2021

Total, Equitable Total and Neighborhood sum distinguishing Total Colorings of Some Classes of Circulant Graphs

Cite this Research Publication : S. Prajnanaswaroopa, J. Geetha, K. Somasundaram, "Total, Equitable Total and Neighborhood sum distinguishing Total Colorings of Some Classes of Circulant Graphs", arXiv preprint arXiv:2105.12490, 2021

Year : 2021

Weighted PI index of tensor product and strong product of graphs

Cite this Research Publication : C. Gopika, J. Geetha, and Dr. Somasundaram K., “Weighted PI index of tensor product and strong product of graphs”, Discrete Mathematics, Algorithms and Applications, vol. 13, p. 2150019, 2021.

Publisher : Discrete Mathematics, Algorithms and Applications

Year : 2020

Total coloring of quasi-line graphs and inflated graphs

Cite this Research Publication : S. Mohan, J. Geetha, and Dr. Somasundaram K., “Total coloring of quasi-line graphs and inflated graphs”, Discrete Mathematics, Algorithms and Applications, vol. 2150060, p. 2150060, 2020.

Publisher : Discrete Mathematics, Algorithms and Applications

Year : 2020

Total colorings of circulant graphs

Cite this Research Publication : J. Geetha, Dr. Somasundaram K., and Hung-Lin Fu, “Total colorings of circulant graphs”, Discrete Mathematics, Algorithms and Applications, p. 2150050, 2020.

Publisher : Discrete Mathematics, Algorithms and Applications

Year : 2020

Total colorings of core-satellite, cocktail party and modular product graphs

Cite this Research Publication : R. Vignesh, Mohan, S., J. Geetha, and Dr. Somasundaram K., “Total colorings of core-satellite, cocktail party and modular product graphs”, TWMS Journal of Applied and Engineering Mathematic, vol. 10, no. 3, pp. 778-787, 2020.

Publisher : TWMS Journal of Applied and Engineering Mathematic

Year : 2020

Total coloring of the prismatic graphs

Cite this Research Publication : M. S. and Dr. Somasundaram K., “Total coloring of the prismatic graphs”, Discrete Mathematics, Algorithms and Applications, vol. 12, p. 2050032, 2020.

Publisher : Discrete Mathematics, Algorithms and Applications

Year : 2020

Forward and backward static analysis for critical numerical accuracy in floating-point programs

Cite this Research Publication : Thushara M. G. and Dr. Somasundaram K., “Forward and backward static analysis for critical numerical accuracy in floating-point programs”, Computer Science, vol. T. 21 (2), pp. 179–192, 2020.

Publisher : Computer Science

Year : 2019

A routing algorithm and a router architecture for 3D NoC

Cite this Research Publication : Dr. Somasundaram K. and Calicut, C., “A routing algorithm and a router architecture for 3D NoC”, Computer Science, vol. 20, no. 3, 2019.

Publisher : Computer Science

Year : 2019

Static Analysis on Floating-Point Programs Dealing with Division Operations

Cite this Research Publication :
Thushara M. G. and Dr. Somasundaram K., “Static Analysis on Floating-Point Programs Dealing with Division Operations”, International Journal of Advanced Computer Science and Applications, vol. 10, 2019.

Publisher : International Journal of Advanced Computer Science and Applications

Year : 2019

Total Coloring Conjecture for Vertex, Edge and Neighborhood Corona Products of Graphs

Cite this Research Publication : R. Vignesh, J. Geetha, and Dr. Somasundaram K., “Total coloring conjecture for vertex, edge and neighborhood corona products of graphs”, Discrete Mathematics, Algorithms and Applications, vol. 11, p. 1950014, 2019.

Publisher : Discrete Mathematics, Algorithms and Applications

Year : 2018

Vertical Links Minimized 3D NoC Topology and Router-Arbiter Design

Cite this Research Publication : Nallasamy Viswanathan, Kuppusamy Paramasivam, and Dr. Somasundaram K., “Vertical Links Minimized 3D NoC Topology and Router-Arbiter Design”, INTERNATIONAL ARAB JOURNAL OF INFORMATION TECHNOLOGY, vol. 15, pp. 469–478, 2018.

Publisher : INTERNATIONAL ARAB JOURNAL OF INFORMATION TECHNOLOGY

Year : 2018

Total Colorings of Product Graphs

Cite this Research Publication : J. Geetha and Dr. Somasundaram K., “Total Colorings of Product Graphs”, Graphs and Combinatorics (2018), vol. 34, no. 2, pp. 339–347, 2018.

Publisher : Graphs and Combinatorics (2018)

Year : 2018

Total Coloring Conjecture for Certain Classes of Graphs

Cite this Research Publication : R Vignesh, J. Geetha, and Dr. Somasundaram K., “Total Coloring Conjecture for Certain Classes of Graphs”, Algorithms, vol. 11, p. 161, 2018.

Publisher : Algorithms

Year : 2018

Analysis of Numerical Accuracy in Floating Point Programs Using Abstract Interpretation

Cite this Research Publication : Thushara M. G., Somasundaram, K., and Jayaraj Poroor, “Analysis of Numerical Accuracy in Floating Point Programs Using Abstract Interpretation”, AFMSS, Springer LNCS (in print), 2018.

Publisher : AFMSS, Springer LNCS (in print)

Year : 2017

Total coloring of the corona product of two graphs

Cite this Research Publication : S. Mohan, J. Geetha, and Dr. Somasundaram K., “Total coloring of the corona product of two graphs”, AUSTRALASIAN JOURNAL OF COMBINATORICS, vol. 68, no. 1, pp. 15–22, 2017.

Publisher : AUSTRALASIAN JOURNAL OF COMBINATORICS, CENTRE DISCRETE MATHEMATICS & COMPUTING DEPT MATHEMATICS, UNIV QUEENSLAND, BRISBANE, QLD 4072, AUSTRALIA,

Year : 2016

Preface

Cite this Research Publication : Hinz A, Arumugam S, Balakrishnan R, Raj F, Karthick T, Somasundaram K, Zhu X, Preface, Electronic Notes in Discrete Mathematics, 53, 1-2,2016(Editorial)

Year : 2016

Total Coloring of Certain Classes of Product Graphs

Cite this Research Publication : S. Mohan, J. Geetha, and Dr. Somasundaram K., “Total Coloring of Certain Classes of Product Graphs”, Electronic Notes in Discrete Mathematics, vol. 53, pp. 173 - 180, 2016.

Publisher : Electronic Notes in Discrete Mathematics

Year : 2016

Total Chromatic Number and Some Topological Indices

Cite this Research Publication : J. Geetha and Dr. Somasundaram K., “Total Chromatic Number and Some Topological Indices”, Electronic Notes in Discrete Mathematics, vol. 53, pp. 363 - 371, 2016.

Publisher : Electronic Notes in Discrete Mathematics.

Year : 2016

Some Conjectures on Permanents of Doubly Stochastic Matrices

Cite this Research Publication : P. Subramanian and Dr. Somasundaram K., “Some Conjectures on Permanents of Doubly Stochastic Matrices”, Journal of Discrete Mathematical Sciences and Cryptography, vol. 19, pp. 997-1011, 2016.

Publisher : Journal of Discrete Mathematical Sciences and Cryptography.

Year : 2016

Evaluation of partially connected mesh topology and shared queues router architecture for network on chip

Cite this Research Publication : Ka Chythanya and Dr. Somasundaram K., “Evaluation of partially connected mesh topology and shared queues router architecture for network on chip”, International Journal of Control Theory and Applications, vol. 9, pp. 4393-4399, 2016.

Publisher : International Journal of Control Theory and Applications.

Year : 2016

Design and evaluation of 3D NoC routers with quality-of-service (QoS) mechanism for multi-core systems

Cite this Research Publication : P. Mohan, Dr. Somasundaram K., Dash, S. S., Das, S., and Bhaskar, M. A., “Design and evaluation of 3D NoC routers with quality-of-service (QoS) mechanism for multi-core systems”, Advances in Intelligent Systems and Computing, vol. 394, pp. 429-441, 2016.

Publisher : Advances in Intelligent Systems and Computing

Year : 2015

Total coloring of generalized sierpiński graphs

Cite this Research Publication : J. Geetha and Dr. Somasundaram K., “Total coloring of generalized sierpiński graphs”, Australasian Journal of Combinatorics, vol. 63, no. 1, pp. 58-69, 2015.

Publisher : Australasian Journal of Combinatorics

Year : 2015

Total coloring algorithm for graphs

Cite this Research Publication : Aa Gupta, J. Geetha, and Dr. Somasundaram K., “Total coloring algorithm for graphs”, Applied Mathematical Sciences, vol. 9, pp. 1297-1302, 2015.

Publisher : Applied Mathematical Sciences

Year : 2014

An optimised 3D topology for on-chip communications

Cite this Research Publication : Na Viswanathan, Paramasivam, Kb, and Dr. Somasundaram K., “An optimised 3D topology for on-chip communications”, International Journal of Parallel, Emergent and Distributed Systems, vol. 29, no. 4, pp. 346-362, 2014.

Publisher : International Journal of Parallel, Emergent and Distributed Systems

Year : 2014

Deadlock free routing algorithm for minimizing congestion in a Hamiltonian connected recursive 3D-NoCs

Cite this Research Publication : Dr. Somasundaram K., Plosila, Jb, and Viswanathan, Nc, “Deadlock free routing algorithm for minimizing congestion in a Hamiltonian connected recursive 3D-NoCs”, Microelectronics Journal, vol. 45, pp. 989-1000, 2014.

Publisher : Microelectronics Journal

Year : 2013

Function Mates

Cite this Research Publication : P. Subramanian and Dr. Somasundaram K., “Function Mates”, Journal of Algebra and Applied Mathematics, vol. 11, pp. 29-35, 2013.

Publisher : Journal of Algebra and Applied Mathematics, SAS International Publications

Year : 2013

Performance comparison of 3D NoC topologies using network calculus

Cite this Research Publication : Na Viswanathan, Paramasivam, Kb, and Dr. Somasundaram K., “Performance comparison of 3D NoC topologies using network calculus”, Life Science Journal, vol. 10, pp. 4379-4385, 2013.

Publisher : Life Science Journal

Year : 2013

Performance and cost metrics analysis of a 3D NoC topology using network calculus

Cite this Research Publication : N. Viswanathan, Paramasivam, K., and Dr. Somasundaram K., “Performance and cost metrics analysis of a 3D NoC topology using network calculus”, Applied mathematical sciences, vol. 7, pp. 4173-4184, 2013.

Publisher : Applied Mathematical Sciences

Year : 2013

Affine spaces and function mates

Cite this Research Publication : Subramanian P, Somasundaram K, Affine spaces and function mates,Journal of Algebra and Applied Mathematics, Volume 11, Issue 1-2, 2013

Year : 2012

Exploring optimal topology and routing algorithm for 3D network on chip

Cite this Research Publication : Na Viswanathan, Paramasivam, Kb, and Dr. Somasundaram K., “Exploring optimal topology and routing algorithm for 3D network on chip”, American Journal of Applied Sciences, vol. 9, pp. 300-308, 2012.

Publisher : American Journal of Applied Sciences

Year : 2012

Deadlock free routing algorithm for minimizing data packet transmission in network on chip

Cite this Research Publication : Dr. Somasundaram K. and Plosila, Jc, “Deadlock free routing algorithm for minimizing data packet transmission in network on chip”, International Journal of Embedded and Real-Time Communication Systems, vol. 3, pp. 70-81, 2012.

Publisher : International Journal of Embedded and Real-Time Communication Systems

Year : 2011

Determinantal Mates

Cite this Research Publication : Dr. Somasundaram K. and Subramanian, P., “Determinantal Mates”, International Journal of Algebra, vol. 5, pp. 1181–1187, 2011.

Publisher : International Journal of Algebra

Year : 2010

Multi-level sequential circuit partitioning for test vector generation for low power test in VLSI

Cite this Research Publication : V. H. Prathyush and Dr. Somasundaram K., “Multi-level sequential circuit partitioning for test vector generation for low power test in VLSI”, International Journal of Engineering, Science and Technology, vol. 2, 2010.

Publisher : MultiCraft Limited

Year : 2009

Graph Mates

Cite this Research Publication : Dr. Somasundaram K., “Graph Mates”, Electronic Notes in Discrete Mathematics, vol. 33, pp. 37-41, 2009.

Publisher : Electronic Notes in Discrete Mathematics

Year : 2008

Permanent: Evolution by Parallel Algorithm

Publisher : Journal of Information and Computing Science

Year : 2008

Permanental Mates: Perturbations and Hwang’s conjecture

Cite this Research Publication : SaMaria Arulraj and Dr. Somasundaram K., “Permanental Mates: Perturbations and Hwang's conjecture”, Applied Mathematics Letters, vol. 21, pp. 786-790, 2008.

Publisher : Applied Mathematics Letters

Year : 2008

Permanent: Evaluation by parallel algorithm

Cite this Research Publication : Dr. Somasundaram K. and Raj, S. M. Ab, “Permanent: Evaluation by parallel algorithm”, Journal of Information and Computing Science, vol. 3, no. 1, pp. 69-72, 2008.

Publisher : Journal of Information and Computing Science

Year : 2007

Star Matrices: Properties And Conjectures

Cite this Research Publication : S. Maria Arulraj and Dr. Somasundaram K., “Star Matrices: Properties And Conjectures”, Applied Mathematics E-Notes, vol. 7, pp. 42–49, 2007.

Publisher : Applied Mathematics E-Notes

Year : 2007

Multi-level Sequential circuit partitioning for delay minimization of VLSI circuits

Cite this Research Publication : Dr. Somasundaram K., “Multi-level Sequential circuit partitioning for delay minimization of VLSI circuits”, J. of Information and Computing Science, vol. 2, pp. 66–70, 2007.

Publisher : J. of Information and Computing Science

Year : 2006

Graph Partitioning in VLSI Design and Testing: A Review

Cite this Research Publication : Dr. Somasundaram K., “Graph Partitioning in VLSI Design and Testing: A Review”, Discrete Mathematics and Its Applications, p. 162, 2006.

Publisher : Alpha Science Int'l Ltd

Year : 2005

Cremer’s Rule for Generalized Matrix Functions

Cite this Research Publication : Bapat and Dr. Somasundaram K., “Cremer’s Rule for Generalized Matrix Functions”, Bulletin of Kerala Mathematics Association, vol. 2, no. 2, pp. 1-7, 2005.

Publisher : Bulletin of Kerala Mathematics Association

Year : 2002

Results on Permanents and Graphs

Cite this Research Publication :
M. Arul S. Raj and Dr. Somasundaram K., “Results on Permanents and Graphs”, Mathematics Preprint Archive, no. 10, 2002.

Publisher : Mathematics Preprint Archive

Year : 1994

Oral health status of rural community in Western Maharashtra

Cite this Research Publication : RC Goyal, NL Sachdeva, and Dr. Somasundaram K., “Oral health status of rural community in Western Maharashtra”, Ind J PSM, vol. 25, pp. 137–45, 1994.

Publisher : Ind J PSM

Year : 1994

AIDS Awareness among rural Community-a study

Cite this Research Publication : RC Goyal, AT Kulkarni, and Dr. Somasundaram K., “AIDS Awareness among rural Community-a study”, Swasth Hind, vol. 18, pp. 262–266, 1994.

Publisher : Swasth Hind

Conference Paper

Year : 2019

Design of a Virtual Channel Router Architecture for Low Power on Mesh-of-Grid Topology for Network on Chip

Cite this Research Publication : Dr. Somasundaram K., “Design of a Virtual Channel Router Architecture for Low Power on Mesh-of-Grid Topology for Network on Chip”, in Proceeding of International Conference on Applied Soft Computing and Communication Networks (ACN 2019), LNNS 125, 63-79, 2019.

Publisher : Proceeding of International Conference on Applied Soft Computing and Communication Networks

Year : 2019

A Preliminary Investigation on a Graph Model of Differential Evolution Algorithm

Cite this Research Publication : M. T. Indu, Dr. Somasundaram K., and Dr. Shunmuga Velayutham C., “A Preliminary Investigation on a Graph Model of Differential Evolution Algorithm”, in Pattern Recognition and Machine Intelligence, Cham, 2019.

Publisher : Pattern Recognition and Machine Intelligence, Springer International Publishing

Year : 2015

Total Coloring for Certain Classes of Claw-free Graphs

Publisher : International Conference on Graph Theory and its Applications

Year : 2011

Performance analysis of cluster based 3D routing algorithms for NoC

Cite this Research Publication : V. N., K., P., and Dr. Somasundaram K., “Performance analysis of cluster based 3D routing algorithms for NoC”, in 2011 IEEE Recent Advances in Intelligent Computational Systems, 2011, pp. 157-162.

Publisher : IEEE

Year : 2009

Multi-dimensional routing algorithms for congestion minimization in Network-on-Chip

Cite this Research Publication : Dr. Somasundaram K. and Plosila, J., “Multi-dimensional routing algorithms for congestion minimization in Network-on-Chip”, in 2009 NORCHIP, 2009.

Publisher : 2009 NORCHIP

Year : 2004

Graph Partitioning Algorithms in VLSI Design and Testing: Review

Cite this Research Publication : Dr. Somasundaram K., “Graph Partitioning Algorithms in VLSI Design and Testing: Review”, in Proceeding of Discrete Mathematics and its Applications, 162-168, 2004.

Publisher : Proceeding of Discrete Mathematics and its Applications

Conference Proceedings

Year : 2024

Early Glaucoma Detection through ANSAN-Infused Retinal Vessel Segmentation

Cite this Research Publication : Keerthivasan E,Senthil Kumar Thangavel, Madhusudana Rao Nalluri, Somasundaram K, Sathyan Parthasaradhi, Meenakshi Y Dhar, Early Glaucoma Detection through ANSAN-Infused Retinal Vessel Segmentation, 2024 International Conference on Inventive Computation Technologies (ICICT), 2024.

Publisher : IEEE

Year : 2024

AasivU: A Framework for Detecting Violence in College Environment using Computer Vision Techniques

Cite this Research Publication : Tangudu Harsha Vardhan, Manthini Meher Vardhan, Nerella Geetha Krishna, Jahnavi Anala, Senthil Kumar Thangavel, Somasundaram K, AasivU: A Framework for Detecting Violence in College Environment using Computer Vision Techniques, 2024 8th International Conference on I-SMAC (IoT in Social, Mobile, Analytics and Cloud) (I-SMAC),2024.

Publisher : IEEE

Year : 2024

ANSAN (Amrita Nethra Samrakshan System) A Mobile App to Assist Hospitals for Glaucoma Screening

Cite this Research Publication : Ashwin Narayanan S, A. V. Viswa,Ashwin R Sharma, Harinandan N, Murugesh JLP, Selvanayaki Kolandapalayam Shanmugam, Somasundaram K, ANSAN (Amrita Nethra Samrakshan System) A Mobile App to Assist Hospitals for Glaucoma Screening, 2024 8th International Conference on I-SMAC (IoT in Social, Mobile, Analytics and Cloud) (I-SMAC),2024.

Publisher : IEEE

Year : 2014

Design and evaluation of virtual channel router for mesh-of-grid based NoC

Cite this Research Publication : N. V. Anjali and Dr. Somasundaram K., “Design and evaluation of virtual channel router for mesh-of-grid based NoC”, International Conference on Electronics and Communication Systems (ICECS), 2014 . Coimbatore, 2014.

Publisher : International Conference on Electronics and Communication Systems (ICECS), 2014

Year : 2013

A Note on Some Conjectures in Permanents

Cite this Research Publication : P. Subramanian and Somasundaram, K., “A Note on Some Conjectures in Permanents”, The 3rd India-Taiwan Conference on Discrete Mathematics. Taiwan, 2013.

Publisher : The 3rd India-Taiwan Conference on Discrete Mathematics

Year : 2012

Exploring hierarchical, cluster based 3D topologies for 3D NoC

Cite this Research Publication : Na Viswanathan, Paramasivam, Kb, and Dr. Somasundaram K., “Exploring hierarchical, cluster based 3D topologies for 3D NoC”, Procedia Engineering, vol. 30. Coimbatore, pp. 606-615, 2012.

Publisher : Procedia Engineering

Year : 2003

Results on Permanents and Graphs

Cite this Research Publication : M. Arulraj and Dr. Somasundaram K., “Results on Permanents and Graphs”, International Conference on Graph theory, Simon Fraser University, Vancouver, Canada. 2003.

Publisher : Simon Fraser University, Vancouver, Canada

Year : 2000

Permanents and Graphs

Cite this Research Publication : M. Arulraj and Dr. Somasundaram K., “Permanents and Graphs”, Proceeding of UGC and CSIR Conference on Applications of Mathematics. 2000.

Publisher : Proceeding of UGC and CSIR Conference on Applications of Mathematics.

Year : 1998

Permanents and Graphs

Cite this Research Publication : M. Arulraj and Dr. Somasundaram K., “Permanents and Graphs”, Proceeding of UGC Conference on Discrete Mathematics. 1998.

Publisher : Proceeding of UGC Conference on Discrete Mathematics

Academic Preparation
  • Ph. D. in Mathematics
    Bharathiyar University, Coimbatore, India, 2005 Dissertation: Permanents: Mates, Stars and Graphs.
  • Post Doctoral Study
    Department of Computer Science, Turku University, Turku, Finland, 2009.
Research

Current Research

  • Multi-Linear Algebra, in particular Permanents.
  • Graph Coloring, in particular Total Coloring.
  • Graph Theory Algorithms in Network on Chip (NoC).

Research Scholars

Post Doc. Fellows

  • Dr. Dharmarajan
  • Dr. Shobha Jose
  • Dr. R. Premalatha

Ph. D. Students(Thesis Advisor)

  1. Dr. P. Subramanian – Completed
  2. Dr. J. Geetha – Completed
  3. Dr. S. Mohan – Completed
  4. Dr. R. Vignesh – Completed
  5. Dr. T. G. Thurshara – Completed
  6. Dr. K Divya – Completed
  7. Dr. Thanga Rejini – Completed
  8. Dr. Manju S C – Completed
  9. Dr. Sandhya T P – Completed
  10. Ms. Hemalatha – on going
  11. Ms. Nandana V – on going
  12. Ms. Lakshmi Girish – on going
  13. Mr. Vignesh V – on going

 

Co-Thesis Advisor

  1. Dr. Pragnanaswarup S. – Completed
  2. Ms. Avadhani bindu – on going
  3. Ms. Sharadha R. – on going

Research Grants Received

  1. Amrita Vishwa Vidya peetham Grant (AVVP/05/KSS/Maths /C/IFRP/09) “ Investigation of a Graph Partitioning Algorithm for VLSI Circuits” awarded January 2006.
  2. NBHM Grant (2/48(7)/2013/NBHM(R.P)/R&D II /1535), “Total Coloring Conjecture for Certain Classes of Graphs” 2014.
  3. DST Grant (DST/SERB No: SR/S4/MS : 867/14), “Behzad-Vizing Conjecture on Graph Coloring for Product Graphs” 2015.
  4. SERB Grand (EMR/2017/001869), Total Colorings for Certain Classes of Cayley Graphs, 2018.
Conference / Workshop Organized
Honors and Awards

Amrita Research Award, 2023

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