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Dr. Kumar Abhishek

Assistant Professor (SG) , Department of Mathematics, School of Engineering, Coimbatore

Qualification: MSc, Ph.D
k_abhishek@cb.amrita.edu
Kumar Abhishek's Google Scholar Profile
Research Interest: Graph Theory

Bio

Dr. Kumar Abhishek currently serves as Assistant Professor (SG) in the Department of Mathematics, School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore Campus. His areas of research include Graph Theory.

Memberships

  • Member – International Association of Engineers (IAENG) (Number: 197340)

Reviewer

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Publications

Journal Article

Year : 2020

Uniform Number of a Graph

Cite this Research Publication : K. Abhishek and E. Mohankumar, “Uniform Number of a Graph”, Iranian Journal of Mathematical Sciences and Informatics, vol. 15, no. 2, pp. 77-99, 2020.

Publisher : Iranian Journal of Mathematical Sciences and Informatics

Year : 2018

Strongly set-colorable graphs

Cite this Research Publication : K. Abhishek, “Strongly set-colorable graphs”, Discrete Mathematics, Algorithms and Applications, vol. 11, no. 1, 2018.

Publisher : Discrete Mathematics, Algorithms and Applications, World Scientific Publishing Co. Pte Ltd

Year : 2016

Some New Classes of Harmonious Graphs

Publisher : Proceedings of the Jangjeon Mathematical Society

Year : 2016

ARC dimension of a digraph

Cite this Research Publication : K. Abhishek, “ARC dimension of a digraph”, Proceedings of the Jangjeon Mathematical Society, vol. 19, no. 1, pp. 107-114, 2016.

Publisher : Proceedings of the Jangjeon Mathematical Society

Year : 2015

Set-Valued Graphs: A Survey

Cite this Research Publication : K. Abhishek, “Set-Valued Graphs: A Survey”, Journal of Discrete Mathematical Sciences and Cryptography, vol. 18, pp. 55-80, 2015.

Publisher : Journal of Discrete Mathematical Sciences and Cryptography

Year : 2015

A Note On Set-Indexed Graphs

Cite this Research Publication : K. Abhishek, “A Note On Set-Indexed Graphs”, Journal of Discrete Mathematical Sciences and Cryptography, vol. 18, pp. 31-40, 2015.

Publisher : Journal of Discrete Mathematical Sciences and Cryptography

Year : 2015

An Application of Arc-Reaching Sets in Social-Network Analysis

Cite this Research Publication : K. Abhishek, “An Application of Arc-Reaching Sets in Social-Network Analysis”, Journal of Discrete Mathematical Sciences and Cryptography, vol. 18, pp. 409-415, 2015.

Publisher : Journal of Discrete Mathematical Sciences and Cryptography

Year : 2013

Set-Valued Graphs II

Cite this Research Publication : K. Abhishek, “Set-Valued Graphs II”, Journal of Fuzzy Set Valued Analysis, vol. 2013 , p. 16, 2013.

Publisher : Journal of Fuzzy Set Valued Analysis

Year : 2013

Out Set-Magic Digraphs

Cite this Research Publication : K. Abhishek and Germina, K. A., “Out Set-Magic Digraphs”, Journal of Discrete Mathematical Sciences and Cryptography, vol. 7, no. 1, pp. 4173 – 4184, 2013.

Publisher : Journal of Discrete Mathematical Sciences and Cryptography

Year : 2013

Detour distance pattern of a graph

Cite this Research Publication : K. Abhishek and Ganesan, A., “Detour distance pattern of a graph”, International Journal of Pure and Applied Mathematics, vol. 87, pp. 719-728, 2013.

Publisher : International Journal of Pure and Applied Mathematics

Year : 2012

Some New Results on Set-Graceful and Set-Sequential Graphs

Cite this Research Publication : B. D. Acharya, Germina, K. A., Abhishek, K., and Slater, P. J., “Some New Results on Set-Graceful and Set-Sequential Graphs”, Journal of Combinatorics & System Sciences, vol. 37, no. 2-4, p. 229, 2012.

Publisher : Journal of Combinatorics System Sciences

Year : 2012

Set-Valued Graphs

Cite this Research Publication : K. A. Germina and Abhishek, K., “Set-Valued Graphs”, Journal of Fuzzy Set Valued Analysis, p. 17, 2012.

Publisher : Journal of Fuzzy Set Valued Analysis

Year : 2012

Hypergraphs of Minimal Arc Bases in A Digraph

Cite this Research Publication : B. D. Acharya, Abhishek, K., and Germina, K. A., “Hypergraphs of Minimal Arc Bases in A Digraph”, Journal of Combinatorics & System Sciences, vol. 37, no. 2-4, pp. 307-319, 2012.

Publisher : Journal of Combinatorics System Sciences

Year : 2010

Kernels and Grundy functions of hypergraphs.

Cite this Research Publication : K. A. Germina and Abhishek, K., “Kernels and Grundy functions of hypergraphs.”, South East Asian Journal of Mathematics and Mathematical Sciences, vol. 9, no. 1, pp. 55–63, 2010.

Publisher : Sunshine Publication

Year : 2009

On some open problems of stable sets and domination in hypergraphs

Cite this Research Publication : B. K. Jose, Germina, K. A., and Abhishek, K., “On some open problems of stable sets and domination in hypergraphs”, Un-published, 2009.

Publisher : Un-published

Year : 2009

Point-and arc-reaching sets of vertices in a digraph

Cite this Research Publication : B. D. Acharya, Germina, K. A., Abhishek, K., Rao, S. B., and Zaslavsky, T., “Point-and arc-reaching sets of vertices in a digraph”, Indian Journal of Mathematics, vol. 51, no. 3, pp. 597–609, 2009.

Publisher : Indian Journal of Mathematics

Year : 2008

Further results on set-valued graphs

Cite this Research Publication : K. A. Germina, Abhishek, K., and Princy, K. L., “Further results on set-valued graphs”, Journal of Discrete Mathematical Sciences and Cryptography, vol. 11, no. 5, pp. 559–566, 2008.

Publisher : Journal of Discrete Mathematical Sciences and Cryptography

Conference Proceedings

Year : 2021

Detour homometric number of a graph

Cite this Research Publication : E. Mohankumar and Abhishek, K., “Detour homometric number of a graph”, Journal of Physics: Conference Series, vol. 1767, p. 012009, 2021.

Publisher : Journal of Physics: Conference Series, IOP Publishing

Other

Year : 2013

A survey on non-invasive blood glucose monitoring using NIR

Cite this Research Publication : Unnikrishna Menon, K.A.; Hemachandran, D. ,; Abhishek, T.K." A survey on non-invasive blood glucose monitoring using NIR "International Conference on Communication and Signal Processing, ICCSP 2013 - Proceedings .

Publisher : International Conference on Communication and Signal Processing, ICCSP 2013 - Proceedings

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