10.46298/dmtcs.2099
https://dmtcs.episciences.org/2099
Gross, Jonathan L.
Jonathan L.
Gross
Kotrbčík, Michal
Michal
Kotrbčík
Sun, Timothy
Timothy
Sun
Genus distributions of cubic series-parallel graphs
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.
episciences.org
graph embedding
genus distribution
series-parallel graphs
bounded treewidth
[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
2023-01-30
2014-08-01
2014-08-01
en
journal article
https://hal.science/hal-01188913v1
1365-8050
https://dmtcs.episciences.org/2099/pdf
VoR
application/pdf
Discrete Mathematics & Theoretical Computer Science
Vol. 16 no. 3
Graph Theory
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