BOUNDS ON FEEDBACK NUMBERS OF DE BRUIJN GRAPHS

被引：9

作者：

Xu, Xirong ^{[1
,2
]}

Xu, Jun-Ming ^{[2
]}

Cao, Yongchang ^{[2
]}

机构：

[1] Dalian Univ Technol, Dept Comp Sci, Dalian 116024, Peoples R China

[2] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2011年 / 15卷 / 03期

关键词：

Graph theory; Feedback vertex set; Feedback number; de Bruijn graphs; Cycles; Scyclic subgraph; Networks; VERTEX SET PROBLEM;

D O I：

10.11650/twjm/1500406287

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The feedback number of a graph G is the minimum number of vertices whose removal from G results in an acyclic subgraph. We use f(d, n) to denote the feedback number of the de Bruijn graph UB(d, n). R. Kralovic and P. Ruzicka [Minimum feedback vertex sets in shuffle-based interconnection networks. Information Processing Letters, 86 (4) (2003), 191-196] proved that f (2, n) = [2(n)-2/3]. This paper gives the upper bound on f(d, n) for d >= 3, that is, f (d, n) <= d(n) (1 - (d/1+d)(d-1)) + ((n+d-2)(d-2)).

引用

页码：1101 / 1113

页数：13

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