Centers of chordal graphs
โ Scribed by Gerard J. Chang
- Publisher
- Springer Japan
- Year
- 1991
- Tongue
- English
- Weight
- 505 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
๐ 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 show that a chordal graph is equistable if and only if every two adjacent non-simplicial vertices have a common simplicial
Let be the induced-minor relation. It is shown that, for every t, all chordal graphs of clique number at most t are well-quasi-ordered by . On the other hand, if the bound on clique number is dropped, even the class of interval graphs is not well-quasi-ordered by .
A chordal graph is called restricted unimodular if each cycle of its vertex-clique incidence bipartite graph has length divisible by 4. We characterize these graphs within all chordal graphs by forbidden induced subgraphs, by minimal relative separators, and in other ways. We show how to construct t