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|Title:||Neighborhood contraction in graphs|
|Authors:||Sowmya, Kamath S.|
|Citation:||Indian Journal of Pure and Applied Mathematics, 2016, Vol.47, 1, pp.97-110|
|Abstract:||Let G be a graph and v be any vertex of G. Then the neighborhood contracted graphGv of G, with respect to the vertex v, is the graph with vertex set V ? N(v), where two vertices u,w ? V ? N(v) are adjacent in Gv if either w = v and u is adjacent to any vertex of N(v) in G or u,w ? N[v] and u,w are adjacent in G. The properties of the neighborhood contracted graphs are discussed in this paper. The neighborhood contraction in some special class of graphs, the domination in a graph and the neighborhood contracted graphs are discussed in the paper. 2015, The Indian National Science Academy.|
|Appears in Collections:||1. Journal Articles|
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