Destroying cycles in digraphs
✍ Scribed by Molly Dunkum; Peter Hamburger; Attila Pór
- Book ID
- 106167792
- Publisher
- Springer-Verlag
- Year
- 2011
- Tongue
- English
- Weight
- 194 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Caccetta and Haggkvist [l] conjectured that every digraph with n vertices and minimum outdegree k contains a directed cycle of length at most [n/k]. With regard to this conjecture, Chvatal and Szemeredi [2] proved that if G is a digraph with n vertices and if each of these vertices has outdegree at
## Abstract We show that a directed graph of order __n__ will contain __n__‐cycles of every orientation, provided each vertex has indegree and outdegree at least (1/2 + __n__^‐1/6^)__n__ and __n__ is sufficiently large. © 1995 John Wiley & Sons, Inc.