Author/Authors :
kanwal, ansa university of management and technology - knowledge unit of science, sialkot, pakistan , aslam, adnan university of engineering and technology - department of natural sciences and humanities, lahore, pakistan , raza, zahid university of sharjah - college of sciences - department of mathematics, sharjah, united arab emirates , iqbal, naveed university of ha il - faculty of science - department of mathematics, ha il, saudi arabia , kometa, bawfeh k. university of ha il - faculty of science - department of mathematics, ha il, saudi arabia
Abstract :
the variable sum exdeg index of a graph g is defined as seia(g)=∑u∈v(g)dg(u)adg(u), where a≠1 is a positive real number, dg(u) is the degree of a vertex u∈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.
Keywords :
molecular descriptor , topological index , variable sum exdeg index , cut edge , clique
