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arXiv · 1911.07465

Implicit Enumeration of Topological-Minor-Embeddings and Its Application to Planar Subgraph Enumeration

Yu Nakahata·Jun Kawahara·Takashi Horiyama·Shin-ichi Minato
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Abstract

Given graphs $G$ and $H$, we propose a method to implicitly enumerate topological-minor-embeddings of $H$ in $G$ using decision diagrams. We show a useful application of our method to enumerating subgraphs characterized by forbidden topological minors, that is, planar, outerplanar, series-parallel, and cactus subgraphs. Computational experiments show that our method can find all planar subgraphs in a given graph at most five orders of magnitude faster than a naive backtracking-based method.

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Yu Nakahata, Jun Kawahara, Takashi Horiyama, Shin-ichi Minato. 2019-11-18. Implicit Enumeration of Topological-Minor-Embeddings and Its Application to Planar Subgraph Enumeration. https://arxiv.org/abs/1911.07465

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