TY - JOUR
ID - 14142
TI - On the variable sum exdeg index and cut edges of graphs
JO - Communications in Combinatorics and Optimization
JA - CCO
LA - en
SN - 2538-2128
AU - Kanwal, Ansa
AU - Aslam, Adnan
AU - Raza, Zahid
AU - Iqbal, Naveed
AU - Kometa, Bawfeh
AD - Knowledge Unit of Science, University of Management and Technology,
Sialkot, Pakistan
AD - Department of Natural Sciences and Humanities,
University of Engineering and Technology, Lahore (RCET), Pakistan
AD - Department of Mathematics, College of Sciences,
University of Sharjah, Sharjah, UAE
AD - Department of Mathematics, Faculty of Science, University of Ha'il,
Ha'il, Saudi Arabia
Y1 - 2021
PY - 2021
VL - 6
IS - 2
SP - 249
EP - 257
KW - Molecular descriptor
KW - topological index
KW - variable sum exdeg index
KW - cut edge
KW - clique
DO - 10.22049/cco.2021.26865.1152
N2 - The variable sum exdeg index of a graph $G$ is defined as $SEI_a(G)=sum_{uin V(G)}d_G(u)a^{d_G(u)}$, where $aneq 1$ is a positive real number, $d_G(u)$ is the degree of a vertex $uin V(G)$. 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 $a>1$.
UR - http://comb-opt.azaruniv.ac.ir/article_14142.html
L1 - http://comb-opt.azaruniv.ac.ir/article_14142_22abcc9eb4c4e3d46d7547d2a67702ad.pdf
ER -