2007-08-22
A characterization of the degree sequences of 2-trees
Publication
Publication
Presented at the
9th Workshop on Algorithm Engineering and Experiments and the 4th Workshop on Analytic Algorithms and Combinatorics (January 2007)
A graph G is a 2-tree if G = K3 or G has a vertex v of degree 2, whose neighbours are adjacent, and G\v is a 2-tree. A characterization of the degree sequences of 2-trees is given. This characterization yields a linear-time algorithm for recognizing and realizing degree sequences of 2-trees.
| Additional Metadata | |
|---|---|
| Keywords | 2-tree, Degree sequence, Graphical degree sequence, K-tree, Series-parallel graph, Treewidth |
| Conference | 9th Workshop on Algorithm Engineering and Experiments and the 4th Workshop on Analytic Algorithms and Combinatorics |
| Citation |
Bose, P, Dujmović, V, Krizanc, D. (Danny), Langerman, S. (Stefan), Morin, P, Wood, D, & Wuhrer, S. (Stefanie). (2007). A characterization of the degree sequences of 2-trees. Presented at the 9th Workshop on Algorithm Engineering and Experiments and the 4th Workshop on Analytic Algorithms and Combinatorics.
|