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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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