Domination Number of A Line Graph Formed from the Cartesian Product of Cycle and Path Graphs


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Authors

  • L. Jethruth Emelda Mary PG & Research Department of Mathematics, St. Joseph’s College of Arts and Science (Autonomous), Cuddalore, Tamilnadu, India
  • T. Monica PG & Research Department of Mathematics, St. Joseph’s College of Arts and Science (Autonomous), Cuddalore, Tamilnadu, India

Keywords:

Domination number, Inverse Domination number, Total Domination number, disconnected inverse irregular dominating set, disconnected total irregular dominating set Line graph, Cartesian product, Path graph, Cycle graph

Abstract

In this paper we discussed the domination of line graph formed from the Cartesian product of cycle and path graphs. Also we have introduced disconnected total irregular dominating set and disconnected inverse irregular dominating set and various parameters of domination are applied on line graph and some relation between them are discussed with some examples.

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Published

15-06-2018

How to Cite

L. Jethruth Emelda Mary, & T. Monica. (2018). Domination Number of A Line Graph Formed from the Cartesian Product of Cycle and Path Graphs. International Journal of Mathematics And Its Applications, 6(2 - B), 223–232. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/719

Issue

Vol. 6 No. 2 - B (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.