欧拉图的不规则性和全不规则性

IF 1 Q4 CHEMISTRY, MULTIDISCIPLINARY Iranian journal of mathematical chemistry Pub Date : 2018-06-01 DOI:10.22052/IJMC.2018.44232.1153

R. Nasiri, H. R. Ellahi, A. Gholami, G. Fath-Tabar

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引用次数: 6

摘要

对于图G，定义图G的不规则性和总不规则性分别为irr(G)=∑_(uv)∈E(G))〖|d_G (u)-d_G (v)|〗和irr_t (G)=1/2∑_(u,v∈v (G))〖|d_G (u)-d_G (v)|〗，其中d_G (u)是顶点u的度数。本文分别用第2最小不规则性、第2最小不规则性和第3最小总不规则性值刻画了所有连通欧拉图。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The irregularity and total irregularity of Eulerian graphs

For a graph G, the irregularity and total irregularity of G are defined as irr(G)=∑_(uv∈E(G))〖|d_G (u)-d_G (v)|〗 and irr_t (G)=1/2 ∑_(u,v∈V(G))〖|d_G (u)-d_G (v)|〗, respectively, where d_G (u) is the degree of vertex u. In this paper, we characterize all ‎connected Eulerian graphs with the second minimum irregularity, the second and third minimum total irregularity value, respectively.

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