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arXiv · 1101.5294

Subgraphs of 4-regular planar graphs

Chris Dowden·Louigi Addario-Berry
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Abstract

We shall present an algorithm for determining whether or not a given planar graph H can ever be a subgraph of a 4-regular planar graph. The algorithm has running time O(|H|^{2.5}) and can be used to find an explicit 4-regular planar graph G containing H if such a graph exists. It shall not matter whether we specify that H and G must be simple graphs or allow them to be multigraphs.

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Chris Dowden, Louigi Addario-Berry. 2011-01-27. Subgraphs of 4-regular planar graphs. https://doi.org/10.1007/s00453-010-9435-8

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