On co-well covered graphs
Commun. Korean Math. Soc.
Published online January 3, 2020
Baha' Abughazaleh, Omar Abughneim, and Hasan Al-Ezeh
The University of Jordan
Abstract : A graph G is called a well covered graph if every maximal independent set in G is maximum, and co-well covered graph if its complement is a well covered graph. We study some properties of a co-well covered graph and we characterize when the join, the corona product, and cartesian product are co-well covered graphs. Also we characterize when powers of trees and cycles are co-well covered graphs. The line graph of a graph which is co-well covered is also studied.
Keywords : well covered graphs, co-well covered graphs, cliques.
MSC numbers : 05C69
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