Randomly antitraceable digraphs
β Scribed by John Frederick Fink
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 376 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
An antipath in a digraph is a semipath containing no (directed) path of length 2. A digraph D is randomly antitraceable if for each vertex v of D, any antipath beginning at v can be extended to a hamiltonian antipath beginning at v. In this paper randomly antitraceable digraphs are characterized.
π SIMILAR VOLUMES
## Abstract A hypotraceable digraph is a digraph __D__ = (__V, E__) which is not traceable, i.e., does not contain a (directed)Hamiltonian path, but for which __D__ β __v__ is traceable for all __ve__ β __V__. We prove that a hypotraceable digraph of order __n__ exists iff __n__ β₯ 7 and that for ea
## Abstract For an integer __k__ > 2, the best function __m__(__n, k__) is determined such that every strong digraph of order __n__ with at least __m__(__n, k__) arcs contains a circuit of length __k__ or less.
## Abstract A digraph design is a decomposition of a complete (symmetric) digraph into copies of preβspecified digraphs. Wellβknown examples for digraph designs are Mendelsohn designs, directed designs or orthogonal directed covers. A digraph design is superpure if any two of the subdigraphs in the
## Abstract A graph is defined to be randomly matchable if every matching of __G__ can be extended to a perfect matching. It is shown that the connected randomly matchable graphs are precisely __K__~2__n__~ and __K~n,n~__ (__n__ β₯ 1).