Title of article :
Some remarks on the sum of powers of the degrees of graphs
Author/Authors :
Milovanovic, Emina I. Faculty of Electronic Engineering - University of Ni, Serbia , Matejic, Marjan Faculty of Electronic Engineering - University of Ni, Serbia , Milovanovic, Igor Z. Faculty of Electronic Engineering - University of Ni, Serbia
Abstract :
We consider the following graph invariant Sα,k(G)=∑I∈JdαI, where α is an arbitrary real number, and establish its bounds. A number of known bounds for various topological indices are obtained as special cases.
Keywords :
Graphs , vertex degrees , graph invariants
Journal title :
Transactions on Combinatorics
