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Dr. J. Geetha

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

Qualification: MPhil, MSc, Ph.D
j_geetha@cb.amrita.edu
Research Interest: Graph Theory, Linear Algebra

Bio

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

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 : 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 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 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 : 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 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 : 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

Conference Paper

Year : 2015

Total Coloring for Certain Classes of Claw-free Graphs

Publisher : International Conference on Graph Theory and its Applications

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