Subgraphs of 4-regular planar graphs

Details Subgraphs of 4-regular planar graphs Subgraphs of 4-regular planar graphs

2011-01-27

arxiv.org/abs/1101.5294v1

Mathematics

Combinatorics

21 pages, 19 figures. To be published in Algorithmica

Scientific paper

10.1007/s00453-010-9435-8

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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