SEVERAL DISTANCE BASED INDICES FOR COMPLEMENT OF GRAPHS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 97

Volume : 16 , Issue : 1A
DOI:
Author :
S. Parameswari (Department of Mathematics, Arignar Anna Govt Arts college, Villupuram - 605752, Tamil Nadu, INDIA)
K. Balasangu (Department of Mathematics, Thiru kolanjiappar Govt Arts college, Viruthachalam - 606001, Tamil Nadu, INDIA)

Abstract

A graph G is said to have property P if for every pair of its adjacent vertices x and y there exists a vertex z such that z is not adjacent to x and y: In this paper, we establish an explicit formula to calculate the several graph indices for the complement of any graph G having above property. As a corollary we obtain the several graph indices for the complement of certain derived graphs.

Keywords and Phrases

Topological index, distance, derived graph.

A.M.S. subject classification

05C12, 05C76.

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