EDGE H-DOMINATION IN GRAPH

EDGE H-DOMINATION IN GRAPH

B. M. Kakrecha

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Abstract

This paper is about edge H-domination of the graph. The edge H-dominating set is dened and the characterization of a minimal edge H-dominating set of the graph with minimum degree 2 is given. The upper bound on the edge H-domination number of the graph is discussed. The changes in the edge H-domination number are observed under vertex(edge) removal operation on graph. The concepts called weak isolated edge and edge H-private neighborhood of the graph are dened.

Keywords

edge dominating set, edge domination number, edge H-dominating set, edge H-domination number, weak isolated edge, edge H-private neighborhood.