Azarbaijan Shahid Madani University Communications in Combinatorics and Optimization 2538-2128 6 2 2021 12 01 On the variable sum exdeg index and cut edges of graphs 249 257 14142 10.22049/cco.2021.26865.1152 EN Ansa Kanwal Knowledge Unit of Science, University of Management and Technology, Sialkot, Pakistan Adnan Aslam Department of Natural Sciences and Humanities, University of Engineering and Technology, Lahore (RCET), Pakistan Zahid Raza Department of Mathematics, College of Sciences, University of Sharjah, Sharjah, UAE Naveed Iqbal Department of Mathematics, Faculty of Science, University of Ha'il, Ha'il, Saudi Arabia Bawfeh Kometa Department of Mathematics, Faculty of Science, University of Ha'il, Ha'il, Saudi Arabia Journal Article 2020 07 04 The variable sum exdeg index of a graph $G$ is defined as $SEI_a(G)=\sum_{u\in V(G)}d_G(u)a^{d_G(u)}$, where $a\neq 1$ is a positive real number, $d_G(u)$ is the degree of a vertex $u\in V(G)$. In this paper, we characterize the graphs with the extremum variable sum exdeg index among all the graphs having a fixed number of vertices and cut edges, for every $a>1$. https://comb-opt.azaruniv.ac.ir/article_14142_22abcc9eb4c4e3d46d7547d2a67702ad.pdf