## RESULTS ON THE INVERSE MAJORITY DOMINATION AND MAJORITY INDEPENDENCE NUMBER OF A GRAPH

## RESULTS ON THE INVERSE MAJORITY DOMINATION AND MAJORITY INDEPENDENCE NUMBER OF A GRAPH

*J. J. Manora, S. Vignesh*

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## Abstract

Inthisarticle,therelationshipbetweenInverseMajorityDominationnumber γ−1(G) and Majority Independence number βM(G) of a graph G is discussed for some M classes of graphs. In particular, γ−1(G) and βM(G) for cubic and cubic bipartite graph M are studied with examples. Also characterization theorem for this relation and some results are determined.

## Keywords

Majority Dominating Set, Inverse Majority Domination Number, Majority Independence Number , Cubic Bipartite Graphs.