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

共 50 条

[41] On the diameter of a class of the generalized de Bruijn graphs
Caro, JDL
Zeratsion, TW
I-SPAN'02: INTERNATIONAL SYMPOSIUM ON PARALLEL ARCHITECTURES, ALGORITHMS AND NETWORKS, PROCEEDINGS, 2002, : 225 - 230
[42] On the Diameter of the Generalized Undirected De Bruijn Graphs
Kuo, Jyhmin
Fu, Hung-Lin
ARS COMBINATORIA, 2012, 106 : 395 - 408
[43] Space Efficient Merging of de Bruijn Graphs and Wheeler Graphs
Egidi, Lavinia
Louza, Felipe A.
Manzini, Giovanni
ALGORITHMICA, 2022, 84 (03) : 639 - 669
[44] LIGHTWAVE NETWORKS BASED ON DE BRUIJN GRAPHS
SIVARAJAN, KN
RAMASWAMI, R
IEEE-ACM TRANSACTIONS ON NETWORKING, 1994, 2 (01) : 70 - 79
[45] On the recognition of de Bruijn graphs and their induced subgraphs
Blazewicz, J
Formanowicz, P
Kasprzak, M
Kobler, D
DISCRETE MATHEMATICS, 2002, 245 (1-3) : 81 - 92
[46] 2-Diameter of de Bruijn graphs
Li, Q
Sotteau, D
Xu, JM
NETWORKS, 1996, 28 (01) : 7 - 14
[47] Variable-Order de Bruijn Graphs
Boucher, Christina
Bowe, Alex
Gagie, Travis
Puglisi, Simon J.
Sadakane, Kunihiko
2015 DATA COMPRESSION CONFERENCE (DCC), 2015, : 383 - 392
[48] Space Efficient Merging of de Bruijn Graphs and Wheeler Graphs
Lavinia Egidi
Felipe A. Louza
Giovanni Manzini
Algorithmica, 2022, 84 : 639 - 669
[49] Aligning optical maps to de Bruijn graphs
Mukherjee, Kingshuk
Alipanahi, Bahar
Kahveci, Tamer
Salmela, Leena
Boucher, Christina
BIOINFORMATICS, 2019, 35 (18) : 3250 - 3256
[50] DNA Assembly with de Bruijn Graphs on FPGA
Poirier, Carl
Gosselin, Benoit
Fortier, Paul
2015 37TH ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY (EMBC), 2015, : 6489 - 6492

← 1 2 3 4 5 →