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Dr. J. Geetha

Assistant Professor (Sr. Gr.), Department of Mathematics, School of Physical Sciences, Coimbatore 

Qualification: MPhil, MSc, Ph.D
j_geetha@cb.amrita.edu
Scopus ID
Research Interest: Graph Colorings, Graph Indices.

Bio

Dr. Geetha J. currently serves as Assistant Professor (Sr. Gd.) at the department of Mathematics, School of Physical Sciences, Coimbatore Campus. Her research interests include Graph Theory and Linear Algebra. Geetha has completed M. Sc and M. Phil in Mathematics.

Education

  • M. Sc and M. Phil in Mathematics – Bharathiyar University, Coimbatore.
  • Ph.D. – Amrita Vishwa Vidyapeetham, Coimbatore

Research Projects

  1. Project Title: Total coloring conjecture for certain classes of graphs
    Role: CO-PI
    Duration: 2014-2016
    Funding Agency: National Board for Higher Mathematics (NBHM)
  2. Project Title: Behzad-Vizing Conjecture on Graph Coloring for Product  Graphs
    Role: CO-PI
    Duration: 2015-2018
    Funding Agency: Department of Science & Technology – DST
  3. Project Title: Total Colorings for Certain Classes of Cayley Graphs
    Role: PI
    Funding Agency: DST-SERB

 

Publications

Journal Article

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

PI and weighted PI indices for powers of paths

Cite this Research Publication : Manju S.C., Geetha. J, K. Somasundaram PI and weighted PI indices for powers of paths, cycles, and their complements, Journal of Intelligent and Fuzzy Systems, 44(1) 1439 - 1452, 2023.

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

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, accepted, 2023.

Year : 2023

Total Colorings – A Survey

Cite this Research Publication : J.Geetha, N. Narayanan, K. Somasundaram, Total Coloring- a Survey, AKCE Journal of Graphs and Combinatorics, available in online, 2023.

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

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, 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 : 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

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 : 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

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 : 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

Conference Paper

Year : 2015

Total Coloring for Certain Classes of Claw-free Graphs

Publisher : International Conference on Graph Theory and its Applications

Work Experience
  • V.L. B Janakiammal College Arts and Science, Coimbatore
  • Amrita Vishwa Vidyapeetham, Coimbatore
Projects

Funded Projects

  1. NBHM Grant (2/48(7)/2013/NBHM(R.P)/R&D II /1535), “Total Coloring Conjecture for Certain Classes of Graphs” 2014-Co-PI.
  2. DST Grant (DST/SERB No: SR/S4/MS : 867/14), “Behzad-Vizing Conjecture on Graph Coloring for Product Graphs” 2015.-Co-PI
  3. SERB Grand (EMR/2017/001869), Total Colorings for Certain Classes of Cayley Graphs, 2018-PI.

Ph.D. Guidence

  1. Pragnanaswarup.S- Ongoing
  2. R. Sharadha-Ongoing.
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