Extremal graphs with respect to variable sum exdeg index via majorization

A. Ghalavand and A.R. Ashrafi

Applied Mathematics and Computation, 2017, vol. 303, issue C, 19-23

Abstract: The variable sum exdeg index of a graph G is defined as SEIa(G)=∑uv∈E(G)[adegG(u)+adegG(v)], where a ≠ 1 is a positive real number. The aim of this paper is applying the majorization technique to obtain the maximum and minimum values of variable sum exdeg index of trees, unicyclic, bicyclic and tricyclic graphs.

Keywords: Variable sum exdeg index; Majorization technique; Trees; Unicyclic graph; Bicyclic graph; Tricyclic graph (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:303:y:2017:i:c:p:19-23

DOI: 10.1016/j.amc.2017.01.007

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