Combinatorial problems on series-parallel graphs
β Scribed by K. Takamizawa; T. Nishizeki; N. Saito
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 238 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A graph is called equistable when there is a non-negative weight function on its vertices such that a set S of vertices has total weight 1 if and only if S is maximal stable. We characterize those series-parallel graphs that are equistable, generalizing results of Mahadev et al. about equistable out
By applying a sequence of edge-gluings on a set of cycles each of length k, we obtain a special series-parallel graph. The well-known k-gon tree theorem (see [l, lo]) states that these graphs form a X-equivalence class. Many of the other known classes of X-unique graphs and X-equivalence classes are