On Vosperian and Superconnected Vertex-Transitive Digraphs
✍ Scribed by Y. O. Hamidoune, A. Lladó, S. C. López
- Book ID
- 120788658
- Publisher
- Springer Japan
- Year
- 2011
- Tongue
- English
- Weight
- 164 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0911-0119
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📜 SIMILAR VOLUMES
A nonidentity element of a permutation group is said to be semiregular if all of its orbits have the same length. The work in this paper is linked to [6] where the problem of existence of semiregular automorphisms in vertex-transitive digraphs was posed. It was observed there that every vertextransi
The main result of this paper is that vertex-transitive graphs and digraphs of order p 4 are Hamiltonian, where p is a prime number. 1998 Academic Press 1. INTRODUCTION Witte [7] proved that Cayley digraphs of finite p-groups are Hamiltonian. In [2], Marus$ ic$ showed that all vertex-transitive digr
We characterize the class of self-complementary vertex-transitive digraphs on a prime number p of vertices. Using this, we enumerate (i) self-complementary strongly vertex-transitive digraphs on p vertices, (ii) self-complementary vertex-transitive digraphs on p vertices, (iii) selfcomplementary ver
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