May 29, 2023
Doost Ali Mojdeh

Doost Ali Mojdeh

Degree: Professor
Address: Department of Mathematics, University of Mazandaran, Babolsar, Iran
Education: Ph.D in Mathematics (Graph Theory and Combinatorics)
Phone: 011-35302448
Faculty: Faculty of Mathematical Sciences


Title Zagreb Indices of Trees, Unicyclic and Bicyclic Graphs With Given (Total) Domination
Type Article
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)


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.