Decomposition of (infinite) digraphs along directed 1-separations
Nathan Bowler, Florian Gut, Meike Hatzel, Ken-ichi Kawarabayashi,, Irene Muzi, Florian Reich
TL;DR
This paper introduces a new structural concept called torsoids to analyze the detailed structure of finite and infinite directed graphs, especially focusing on their 1-separations, enhancing understanding of their decomposition.
Contribution
It presents torsoids as a canonical structure for decomposing directed graphs along 1-separations, extending structural analysis to infinite graphs.
Findings
Torsoids provide a canonical decomposition framework.
Enhanced understanding of infinite directed graphs.
Application to matching covered graphs.
Abstract
We introduce torsoids, a canonical structure in matching covered graphs, corresponding to the bricks and braces of the graph. This allows a more fine-grained understanding of the structure of finite and infinite directed graphs with respect to their 1-separations.
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Taxonomy
TopicsAdvanced Graph Theory Research · Advanced Topology and Set Theory · Graph theory and applications