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Article Name :
THE MINIMUM NEIGHBOURHOOD ENERGY OF A GRAPH
Author Name :
Dinesh A. C , Puttaswamy
Publisher :
Ashok Yakkaldevi
Article Series No. :
ROR-2172
Article :
	Author Profile
Abstract :
In a graph G ∈(V,E), a subset S ⊆ V is called a neighbourhood set of G,if G is the union of the subgraphs induced by the closed neighbourhood of the vertices of S. The neighbourhood number of G is the minimum cardinality among all minimal neighbourhood sets of G is denoted by n(G). In this paper, we study the minimum neighbourhood energy, denoted by E_N (G), of a graph G.We are computing the minimum neighbourhood energies of complete graph, complete bipartite graph, star graph, cocktail party graph and Friendship graph. Upper and lower bounds for E_N (G) are established.
Keywords :
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