## Abstract Let ${\cal G}$ be a fixed set of digraphs. Given a digraph __H__, a ${\cal G}$βpacking in __H__ is a collection ${\cal P}$ of vertex disjoint subgraphs of __H__, each isomorphic to a member of ${\cal G}$. A ${\cal G}$βpacking ${\cal P}$ is __maximum__ if the number of vertices belonging
Superfluous paths in strong digraphs
β Scribed by Claudio L. Lucchesi; Jeffrey A. Ross
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 611 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let Cay(S : H) be the Cayley digraph of the generators S in the group H. A one-way infinite Hamiltonian path in the digraph G is a listing of all the vertices [q: 1 ~< i <oo], such that there is an arc from vi to vi+ 1. A two-way infinite Hamiltonian path is similarly defined, with i ranging from -0
The purpose of this communication is to announce some slrfficient conditions on degrees and number of arcs to insure the existence of cycles and paths in directed graphs. We show that these results are the best possible. The proofs of the theorems can be found in [4].