ANNIHILATOR DOMINATION NUMBER OF TENSOR PRODUCT OF PATH GRAPHS

Year 2019, Volume: 9 Issue: 4, 800 - 809, 01.12.2019

K. SHARMA U. SHARMA

Abstract

An annihilator dominating set ADS is a representative technique for nd-ing the induced subgraph of a graph which can help to isolate the vertices. A dominating set of graph G is called ADS if its induced subgraph is containing only isolated vertices. The annihilator domination number of G, denoted by a G is the minimum cardinality of ADS. The tensor product of graphs G and H signied by G  H is a graph with vertex set V = V G V H and edge f u; v ; u0; v0 g 2 E whenever u; u0 2 E G and v; v0 2 E H . In this paper, we deduce exact values of annihilator domination number of tensor product of Pm and Pn, m; n 2. Further, we investigated some lower and upper bounds for annihilator domination number of tensor product of path graphs.

Keywords

Domination Number, Annihilator Dominating Set, Annihilator Domination Number, Paths, Tensor Product.

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