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arXiv · 1811.06761

Minor-Obstructions for Apex-Pseudoforests

Alexandros Leivaditis·Alexandros Singh·Giannos Stamoulis·Dimitrios M. Thilikos·Konstantinos Tsatsanis
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Abstract

A graph is called a pseudoforest if none of its connected components contains more than one cycle. A graph is an apex-pseudoforest if it can become a pseudoforest by removing one of its vertices. We identify 33 graphs that form the minor-obstruction set of the class of apex-pseudoforests, i.e., the set of all minor-minimal graphs that are not apex-pseudoforests.

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Alexandros Leivaditis, Alexandros Singh, Giannos Stamoulis, Dimitrios M. Thilikos, Konstantinos Tsatsanis. 2022-09-12. Minor-Obstructions for Apex-Pseudoforests. https://arxiv.org/abs/1811.06761

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