About a conjecture on the centers of chordal graphs
โ Scribed by K. S. Parvathy; A. Remadevi; A. Vijayakumar
- Publisher
- Springer Japan
- Year
- 1994
- Tongue
- English
- Weight
- 81 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract The __chordality__ of a graph __G__ = (__V, E__) is defined as the minimum __k__ such that we can write __E__ = __E__~1~ โฉ โฆ โฉ __E__~__k__~ with each (__V, E__~__i__~) a chordal graph. We present several results bounding the value of this generalization of boxicity. Our principal result
Let F be a connected graph. F is said to be interval-regular if I F~\_ l(u) uF(x )J =. i holds for all vertices u and x ~ Fi(u), i > 0. For u, v e F, let I (u, v) denote the set of all vertices on a shortest path connecting u, v. A subset W of V(F) is said to be convex if l(u,v) c W holds for each u
The interval number of a (simple, undirected) graph G is the least positive integer t such that G is the intersection graph of sets, each of which is the union of t real intervals. A chordal (or triangulated) graph is one with no induced cycles on 4 or more vertices. If G is chordal and has maximum