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Star–in–Coloring of Theta and Plus Graphs

Journal: IMPACT : International Journal of Research in Engineering & Technology ( IMPACT : IJRET ) (Vol.10, No. 6)

Publication Date:

Authors : ; ;

Page : 53-64

Keywords : Coloring; Star–in–Coloring; Star–in–Chromatic Number; Plus Graph; Theta Graph.;

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Abstract

A digraph  = (, ) is said to admit star–in–coloring if it satisfies the following two conditions: (i) no path of length three is bicolored (ii) if any path of length two with terminal vertices are of the same color, then the edges must be oriented towards the middle vertex. In this paper we prove that path union of theta graph

Last modified: 2022-09-02 19:04:48