We give some sufficient conditions for locally semicomplete digraphs to contain a hamiltonian path from a prescribed vertex to another prescribed vertex. As an immediate consequence of these, we obtain that every 4-connected locally semicomplete digraph is strongly hamiltonian-connected. Our results
Local Strongly Arc-Connectivity in Regular Bipartite Digraphs
β Scribed by J.M. Xu
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 99 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
β¦ Synopsis
We show that for any vertex (x) of a (d)-regular bipartite digraph there are a vertex (y), in the other class of the bipartition, and (d(x, y))-paths and (d(y, x))-paths such that all (2 d) of them are pairwise arc-disjoint. This result generalizes a theorem of Hamidoune and Las Vergnas for graphs. 1993 Academic Press, Inc.
π SIMILAR VOLUMES
We apply proof techniques developed by L. Lovasz and A. Frank to obtain several results on the arc-connectivity of graphs and digraphs. The first results concern the operation of splitting two arcs from a vertex of an Eulerian graph or digraph in such a way as to preserve local connectivity conditio
## Abstract An inβtournament is an oriented graph such that the negative neighborhood of every vertex induces a tournament. Let __m__β=β4 or __m__β=β5 and let __D__ be a strongly connected inβtournament of order ${{n}}\geq {{2}}{{m}}-{{2}}$ such that each arc belongs to a directed path of order at