Two short proofs concerning tree-decompositions

被引:33
作者
Bellenbaum, P [1 ]
Diestel, R [1 ]
机构
[1] Univ Hamburg, Math Seminar, D-20146 Hamburg, Germany
关键词
D O I
10.1017/S0963548302005369
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We give short proofs of the following two results: Thomas's theorem that every finite graph has a linked tree-decomposition of width no greater than its tree-width; and the 'tree-width duality theorem' of Seymour and Thomas, that the tree-width of a finite graph is exactly one less than the largest order of its brambles.
引用
收藏
页码:541 / 547
页数:7
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