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arXiv · 1407.8031

Genus Distributions of cubic series-parallel graphs

Jonathan L. Gross·Michal Kotrbčík·Timothy Sun
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Abstract

We derive a quadratic-time algorithm for the genus distribution of any 3-regular, biconnected series-parallel graph, which we extend to any biconnected series-parallel graph of maximum degree at most 3. Since the biconnected components of every graph of treewidth 2 are series-parallel graphs, this yields, by use of bar-amalgamation, a quadratic-time algorithm for every graph of treewidth at most 2 and maximum degree at most 3.

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Jonathan L. Gross, Michal Kotrbčík, Timothy Sun. 2014-07-30. Genus Distributions of cubic series-parallel graphs. https://arxiv.org/abs/1407.8031

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