Tree-width and dimension

被引：20

作者：

Joret, Gwenael ^{[1
]}

Micek, Piotr ^{[2
]}

Milans, Kevin G. ^{[4
]}

Trotter, William T. ^{[3
]}

Walczak, Bartosz ^{[2
]}

Wang, Ruidong ^{[3
]}

机构：

[1] Univ Melbourne, Dept Math & Stat, Melbourne, Vic, Australia

[2] Jagiellonian Univ, Theoret Comp Sci Dept, Fac Math & Comp Sci, Krakow, Poland

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

[4] West Virginia Univ, Dept Math, Morgantown, WV 26505 USA

来源：

COMBINATORICA | 2016年 / 36卷 / 04期

关键词：

ORDER DIMENSION; COMPLEXITY;

D O I：

10.1007/s00493-014-3081-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Over the last 30 years, researchers have investigated connections between dimension for posets and planarity for graphs. Here we extend this line of research to the structural graph theory parameter tree-width by proving that the dimension of a finite poset is bounded in terms of its height and the tree-width of its cover graph.

引用

页码：431 / 450

页数：20

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