• COMPUTATION OF SOME NEW STATUS NEIGHBORHOOD INDICES OF GRAPHS

Abstract

In this paper, we propose the total status neighborhood index, modified vertex status neighborhood index, status neighborhood inverse degree, status neighborhood zeroth order index, F-status neighborhood index, F₁-status neighborhood index, general vertex status neighborhood index of a graph. Also we introduce the total status neighborhood polynomial, third status neighborhood polynomial, F-status neighborhood polynomial, F₁-status neighborhood polynomial of a graph. We compute exact formulas for complete graphs, complete bipartite graphs, wheel graphs and friendship graphs.