Cycles in dense digraphs
β Scribed by Maria Chudnovsky; Paul Seymour; Blair Sullivan
- Book ID
- 106167694
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- English
- Weight
- 347 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
π 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 For its implications in the design of interconnection networks, it is interesting to find (a) (di)graphs with given maximum (outβ)degree __d__ and diameter __D__ that have large order; (b) (di)graphs of given order and maximum (outβ)degree __d__ that have small diameter. (Di)graphs o
## Abstract We show that a directed graph of order __n__ will contain __n__βcycles of every orientation, provided each vertex has indegree and outdegree at least (1/2 + __n__^β1/6^)__n__ and __n__ is sufficiently large. Β© 1995 John Wiley & Sons, Inc.