Decycling bubble sort graphs

被引：4
|
作者：
Wang, Jian [1 ]
Xu, Xirong [1 ]
Gao, Liqing [2 ]
Zhang, Sijia [1 ]
Yang, Yuansheng [1 ]
机构：
[1] Dalian Univ Technol, Sch Comp Sci & Technol, Dalian 116024, Peoples R China
[2] Dalian Univ Technol, Sch Management Sci & Engn, Dalian 116024, Peoples R China
来源：
DISCRETE APPLIED MATHEMATICS | 2015年 / 194卷
关键词：
Graph theory; Decycling set; Decycling number; Bubble sort graphs; Cycles; Acyclic subgraph; Networks; FEEDBACK VERTEX SET; BOUNDS;
D O I：
10.1016/j.dam.2015.05.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The decycling number of a graph G is the minimum number of vertices whose removal from G results in an acyclic subgraph. In this paper we show that the decycling number f(n) of the bubble sort graph B-n satisfies these inequalities: n!(n - 3)/2(n - 2) + 1 <= f(n) <= n!(2n - 3)/4(n - 1). (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：178 / 182
页数：5
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