Some remarks on the sum of powers of the degrees of graphs

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Milovanovic Emina I.; Matejic Marjan M.; Milovanovic Igor Z.

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Journal Paper

Paper Information

Journal: TRANSACTIONS ON COMBINATORICS Year:2021 | Volume:10 | Issue:1 Page(s): 63-71

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Title

Some remarks on the sum of powers of the degrees of graphs

Author(s)

Milovanovic Emina I. | Matejic Marjan M. | Milovanovic Igor Z. | Issue Writer Certificate

Keywords

graphs

vertex degrees

graph invariants

Abstract

‎Let $G=(V,E)$ be a simple graph with $n\ge 3$ vertices‎, ‎$m$ edges‎ ‎and vertex degree sequence $\Delta=d_1 \ge d_2 \ge \cdots \ge‎ ‎d_n=\delta>0$‎. ‎Denote by $S=\{1, 2,\ldots,n\}$ an index set and by‎ ‎$J=\{I=(r_1, r_2,\ldots,r_k)‎, ‎| ‎,1\le r_1

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