Zagreb Indices of Trees, Unicyclic and Bicyclic Graphs With Given (Total) Domination, By Doost Ali Mojdeh

Research

Title	Zagreb Indices of Trees, Unicyclic and Bicyclic Graphs With Given (Total) Domination
Type	Article
Keywords	Domination, total domination, Zagreb indices, tree, unicyclic, bicyclic graph
Journal	IEEE Access
DOI	DOI: 10.1109/ACCESS.2019.2927288
Researchers	Doost Ali Mojdeh (First researcher) , Mohammad Habibi (Second researcher) , Leila Badakhshian (Third researcher) , Yongsheng Rao (Fourth researcher)

Abstract

Let G D (V; E) be a (molecular) graph. For a family of graphs G, the rst Zagreb indexM1 and the second Zagreb index M2 have already studied. In particular, it has been presented, the rst Zagreb index M1 and the second Zagreb index M2 of trees T in terms of domination parameter. In this paper, we present upper bounds on Zagreb indices of unicyclic and bicyclic graphs with a given domination number and also nd upper bounds on the Zagreb indices of trees, unicyclic, and bicyclic graphs with a given total domination number.