eng
episciences.org
Discrete Mathematics & Theoretical Computer Science
1365-8050
2014-08-01
Vol. 16 no. 3
Graph Theory
10.46298/dmtcs.2099
2099
journal article
Genus distributions of cubic series-parallel graphs
Jonathan L. Gross
Michal Kotrbčík
Timothy Sun
Graph Theory
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.
https://dmtcs.episciences.org/2099/pdf
graph embedding
genus distribution
series-parallel graphs
bounded treewidth
[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]