Directed tree-width

被引：162

作者：

Johnson, T ^{[1
]}

Robertson, N

Seymour, PD

Thomas, R

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[2] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

[3] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES B | 2001年 / 82卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jctb.2000.2031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize thr concept of tree-width to directed graphs and prove that every directed graph with no "haven" of large order has small tree-width. Conversely, a digraph with a large haven has large tree-width. We also show that the Hamilton cycle problem and other NP-hard problems can be solved in polynomial time when restricted to digraphs of bounded tree-width. (C) 2001 Academic Press.

引用

页码：138 / 154

页数：17

共 50 条

[1] Directed tree-width examples
Adler, Isolde
JOURNAL OF COMBINATORIAL THEORY SERIES B, 2007, 97 (05) : 718 - 725
[2] Directed Path-Width and Directed Tree-Width of Directed Co-graphs
Gurski, Frank
Rehs, Carolin
COMPUTING AND COMBINATORICS (COCOON 2018), 2018, 10976 : 255 - 267
[3] Forbidden Directed Minors, Directed Path-Width and Directed Tree-Width of Tree-Like Digraphs
Gurski, Frank
Rehs, Carolin
THEORY AND PRACTICE OF COMPUTER SCIENCE, SOFSEM 2019, 2019, 11376 : 234 - 246
[4] Tree-width dichotomy
Lozin, Vadim
Razgon, Igor
EUROPEAN JOURNAL OF COMBINATORICS, 2022, 103
[5] The tree-width of C
Krause, Philipp Klaus
Larisch, Lukas
Salfelder, Felix
DISCRETE APPLIED MATHEMATICS, 2020, 278 (278) : 136 - 152
[6] Tree-width and dimension
Joret, Gwenael
Micek, Piotr
Milans, Kevin G.
Trotter, William T.
Walczak, Bartosz
Wang, Ruidong
COMBINATORICA, 2016, 36 (04) : 431 - 450
[7] Matroid tree-width
Hlineny, Petr
Whittle, Geoff
EUROPEAN JOURNAL OF COMBINATORICS, 2006, 27 (07) : 1117 - 1128
[8] Tree-width and dimension
Gwenaël Joret
Piotr Micek
Kevin G. Milans
William T. Trotter
Bartosz Walczak
Ruidong Wang
Combinatorica, 2016, 36 : 431 - 450
[9] Connected Tree-Width
Reinhard Diestel
Malte Müller
Combinatorica, 2018, 38 : 381 - 398
[10] Connected Tree-Width
Diestel, Reinhard
Mueller, Malte
COMBINATORICA, 2018, 38 (02) : 381 - 398

← 1 2 3 4 5 →