Total Geo Chromatic Number for Degree Splitting Graphs of Certain Graphs

Authors

  • S. Annie Ajila, J. Robert Victor Edward

Keywords:

Geodetic number, chromatic number, geo chromatic number, total geo chromatic number, degree splitting graphs.

Abstract

A total geo chromatic set of a graph G is a geo chromatic set  such that the subgraph induced by  has no isolated vertices. The minimum cardinality of a total geo chromatic set of  is the total geo chromatic number of  and is denoted by . A total geo chromatic set of cardinality  is called a -set of . The total geo chromatic number of some standard graphs are determined and some general properties satisfied by this concept are studied. In this paper, we investigate the total geo chromatic number of degree splitting graphs of certain graphs.

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References

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Published

30.03.2024

How to Cite

S. Annie Ajila. (2024). Total Geo Chromatic Number for Degree Splitting Graphs of Certain Graphs. International Journal of Intelligent Systems and Applications in Engineering, 12(18s), 963–973. Retrieved from https://www.ijisae.org/index.php/IJISAE/article/view/7983

Issue

Vol. 12 No. 18s (2024)

Section

Research Article

License

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