Chorded Cycles

被引:0
|
作者
Megan Cream
Ralph J. Faudree
Ronald J. Gould
Kazuhide Hirohata
机构
[1] Spelman College,National Institute of Technology
[2] University of Memphis,undefined
[3] Emory University,undefined
[4] Ibaraki College,undefined
来源
Graphs and Combinatorics | 2016年 / 32卷
关键词
Chorded cycles; Doubly chorded cycles; Degree-sum; Minimum degree;
D O I
暂无
中图分类号
学科分类号
摘要
A chord is an edge between two vertices of a cycle that is not an edge on the cycle. If a cycle has at least one chord, then the cycle is called a chorded cycle, and if a cycle has at least two chords, then the cycle is called a doubly chorded cycle. The minimum degree and the minimum degree-sum conditions are given for a graph to contain vertex-disjoint chorded (doubly chorded) cycles containing specified elements of the graph, i.e., specified vertices, specified edges as cycle-edges, specified paths, or specified edges as chords. Furthermore, the minimum degree condition is given for a graph to be partitioned into chorded cycles containing specified edges as cycle-edges.
引用
收藏
页码:2295 / 2313
页数:18
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