Note on non-regular graphs with minimal total irregularity

被引：4
|
作者：
Ashrafi, Ali Reza [1 ]
Ghalavand, Ali [1 ]
机构：
[1] Univ Kashan, Fac Math Sci, Dept Pure Math, Kashan 8731753153, Iran
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 369卷
关键词：
Irregularity; Total irregularity; Degree sequence;
D O I：
10.1016/j.amc.2019.124891
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G be a graph with vertex set V(G). The total irregularity of G is defined as irr(t) (G) Sigma({u,v}subset of V(G)) vertical bar deg(G)(u) - deg(G)(v)vertical bar, where deg(G)(v) is the degree of the vertex v of G. The aim of this paper is to present some bounds for this graph invariant. A new simple proof for a recently proposed conjecture on total irregularity of graphs is also presented. (C) 2019 Elsevier Inc. All rights reserved.
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页数：5
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