A digraph D is called a quasi-transitive digraph (QTD) if for any triple x,y,z of distinct vertices of D such that (x,y) and (y,z) are arcs of D there is at least one at': from x to z or from z to x. Solving a conjecture by Bangdensen and Huang (1995), Gutin (1995) described polynomial algorithms fo
Kings in quasi-transitive digraphs
✍ Scribed by J∅rgen Bang-Jensen; Jing Huang
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 505 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0012-365X
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📜 SIMILAR VOLUMES
A digraph is said to be distance-transitive if for all vertices u, v, x, y such that d(u, v) = d(x, y) there is an automorphism w of the digraph such that T(U) = x and T(V) = y. Some examples of distance-transitive digraphs are given in Section 2. Section 3 defines the intersection matrix and gives
A digraph obtained by replacing each edge of a complete p-partite graph by an arc or a pair of mutually opposite arcs with the same end vertices is called a semicomplete p-partite digraph, or just a semicomplete multipartite digraph. A semicomplete multipartite digraph with no cycle of length two is
## Abstract A __k__‐king in a digraph __D__ is a vertex which can reach every other vertex by a directed path of length at most __k__. We consider __k__‐kings in locally semicomplete digraphs and mainly prove that all strong locally semicomplete digraphs which are not round decomposable contain a 2