Subgraph-avoiding minimum decycling sets and k-conversion sets in graphs

被引：0
|
作者：
Francis, M. D. [1 ]
Mynhardt, C. M. [2 ]
Wodlinger, J. L. [3 ]
机构：
[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA
[2] Univ Victoria, Dept Math & Stat, POB 3045, Victoria, BC V8W 3P4, Canada
[3] Vancouver Isl Univ, Dept Math, 900 Fifth St, Nanaimo, BC V9R 5S5, Canada
来源：
AUSTRALASIAN JOURNAL OF COMBINATORICS | 2019年 / 74卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
FEEDBACK VERTEX SETS; INDUCED FORESTS; ARC;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A decycling set of a graph G is a set S of vertices such that G[V - S] is acyclic. In this paper we prove that every non- complete graph G of maximum degree r >= 3 has a minimum decycling set S such that G[S] does not contain an (r-2)- regular graph as a subgraph. This generalizes a result in [P.A. Catlin and H.-J. Lai, Discrete Math. 141(1) (1995), 37- 46]. We give several consequences of our main result, including new proofs of known results.
引用
收藏
页码：288 / 304
页数：17
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