Extremal Graphs for the second multiplicative Zagreb Index

Ali Ghalavand; Ali Reza Ashra; Ivan Gutman

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Ali Ghalavand Department of Pure Mathematics, Facuulty of Mathematics, University of Kashan, Kashan 87317-51167, I. R. Iran
Ali Reza Ashra Department of Pure Mathematics, Facuulty of Mathematics, University of Kashan, Kashan 87317-51167, I. R. Iran
Ivan Gutman Faculty of Science, University of Kragujevac, 34000 Kragujevac, Serbia

Abstract

Let G be a graph with edge set E(G). The second multiplicative
Zagreb index of G is dened as 2(G) = Πuv2E(G)[degG(u) degG(v)], where degG(v) is the degree of the vertex v of G. In this paper, the unicyclic graphs with rst through seventh smallest 2

Extremal Graphs for the second multiplicative Zagreb Index

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