Genus Distributions of cubic series-parallel graphs

Autor:	Gross, Jonathan L., Kotrbčík, Michal, Sun, Timothy
Rok vydání:	2014
Předmět:	Computer Science - Discrete Mathematics Mathematics - Combinatorics 05C10 05C30 05C85 68R10 G.2.2
Druh dokumentu:	Working Paper
Popis:	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. Comment: 21 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1407.8031 Zobrazit plný text záznamu View this record from Arxiv