Title
Canonical tree-decompositions of finite graphs I. Existence and algorithms.
Abstract
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.
Year
DOI
Venue
2016
10.1016/j.jctb.2014.04.001
Journal of Combinatorial Theory, Series B
Keywords
Field
DocType
Graph,Connectivity,Tree-decomposition,k-block,Tangle,Profile,Tutte-decomposition
Discrete mathematics,Combinatorics,Comparability graph,Line graph,Forbidden graph characterization,Graph property,Partial k-tree,Algorithm,Cograph,Pathwidth,Universal graph,Mathematics
Journal
Volume
ISSN
Citations 
116
0095-8956
7
PageRank 
References 
Authors
0.95
4
4
Name
Order
Citations
PageRank
Johannes Carmesin1297.08
Reinhard Diestel245268.24
Matthias Hamann3163.43
Fabian Hundertmark4172.77