Canonical tree-decompositions of finite graphs I. Existence and algorithms

被引：10

作者：

Carmesin, J.

Diestel, R.

Hamann, M.

Hundertmark, F.

机构：

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES B | 2016年 / 116卷

关键词：

Graph; Connectivity; Tree-decomposition; k-block; Tangle; Profile; Tutte-decomposition;

D O I：

10.1016/j.jctb.2014.04.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct tree-decompositions of graphs that distinguish all their k-blocks and tangles of order k, for any fixed integer k. We describe a family of algorithms to construct such decompositions, seeking to maximize their diversity subject to the requirement that they commute with graph isomorphisms. In particular, all the decompositions constructed are invariant under the automorphisms of the graph. (C) 2015 The Authors. Published by Elsevier Inc. All rights reserved.

引用

页码：1 / 24

页数：24

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