Please use this identifier to cite or link to this item: https://ptsldigital.ukm.my/jspui/handle/123456789/579115
Title: Clique regular graphs
Authors: Bhat R. S
Bhat Surekha R
Bhat Smitha G
Udupa
Sayinath
Keywords: Clique
Minimum clique number
Maximum clique number
Domination number
Well covered graphs
Clique regular graphs
Issue Date: Jan-2017
Description: A maximal complete subgraph of G is a clique. The minimum (maximum) clique number is the order of a minimum (maximum) clique of G. A graph G is clique regular if every clique is of the same order. Two vertices are said to dominate each other if they are adjacent. A set S is a dominating set if every vertex in V- S is dominated by a vertex in S. Two vertices are independent if they are not adjacent. The independent domination number is the order of a minimum independent dominating set of G. The order of a maximum independent set is the independence number. A graph G is well covered if . In this paper it is proved that a graph G is well covered ifand only if is clique regular. We also show that .
News Source: Pertanika Journals
ISSN: 0128-7680
Volume: 25
Pages: 263-270
Publisher: Universiti Putra Malaysia Press
Appears in Collections:Journal Content Pages/ Kandungan Halaman Jurnal

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