University of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72607120180401Bounds on First Reformulated Zagreb Index of Graph.2535171610.22080/cjms.2017.11901.1307ENKPattabiramanAnnamalai UniversityASanthakumarAnnai Teresa College of EngineeringJournal Article20170228The first reformulated Zagreb index $EM_1(G)$ of a simple graph $G$ is defined as the sum of the terms $(d_u+d_v-2)^2$ over all edges $uv$ of $G .$ In this paper, the various upper and lower bounds for the first reformulated Zagreb index of a connected graph interms of other topological indices are obtained..http://cjms.journals.umz.ac.ir/article_1716_6f789ebd7572066d3e0a5fd9a4df2328.pdf