Please use this identifier to cite or link to this item: http://idr.nitk.ac.in/jspui/handle/123456789/7305
Title: An improved bound on weak independence number of a graph
Authors: Bhat, R.S.
Sowmya, Kamath S.
Surekha
Issue Date: 2013
Citation: Lecture Notes in Engineering and Computer Science, 2013, Vol.1 LNECS, , pp.208-210
Abstract: A vertex v in a graph G=(V,X) is said to be weak if d(v)?d(u) for every u adjacent to v in G. A set S ? V is said to be weak if every vertex in S is a weak vertex in G. A weak set which is independent is called a weak independent set (WIS). The weak independence number w?0(G) is the maximum cardinality of a WIS. We proved that w?0(G)? p-?. This bound is further refined in this paper and we characterize the graphs for which the new bound is attained.
URI: https://idr.nitk.ac.in/jspui/handle/123456789/7305
Appears in Collections:2. Conference Papers

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