A characterization of graphs with supereulerian line graphs

IF 0.9 Q3 COMPUTER SCIENCE, THEORY & METHODS
Yufei Huang, Weihua He, Guixian Huang, H. Lai, Sulin Song
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引用次数: 1

Abstract

The line graph of a graph G is a simple graph with being its vertex set, where two vertices are adjacent in whenever the corresponding edges share a common vertex in G. A graph H is even if every vertex of H has even degree, and a graph is supereulerian if it has a spanning closed trail. We obtain a characterization for a graph G to have a supereulerian line graph , as follows: for a connected graph G with , the line graph has a spanning closed trail if and only if G has an even subgraph H (possibly null) such that both G remains connected after deleting all degree 2 vertices not in H, and every degree 2 vertex not in H must be adjacent only to vertices of degree at least 3 in G.
用超欧拉线形图刻画图
图G的线形图是一个简单图,它的顶点集是两个顶点相邻的,当对应的边在G中有一个共同的顶点时,图H是偶度的,图H是偶度的,图H是超欧拉图,如果它有张成的闭合轨迹。我们获得表征一个图G supereulerian线图,如下:对于一个连通图G,线图的生成封闭落后甚至当且仅当G的子图H(可能为空),这样两个G仍然连接顶点删除所有学位后2 H,每2度顶点不仅在H必须相邻顶点的度至少3 G。
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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来源期刊
International Journal of Computer Mathematics: Computer Systems Theory
International Journal of Computer Mathematics: Computer Systems Theory Computer Science-Computational Theory and Mathematics
CiteScore
1.80
自引率
0.00%
发文量
11
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