Balanced extensions of graphs and hypergraphs
β Scribed by A. Rucinski; A. Vince
- Publisher
- Springer-Verlag
- Year
- 1988
- Tongue
- English
- Weight
- 599 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In addition to a widely studied notion of homomorphisms of graphs and hypergraphs, [2, 5 , 6, 7, 9, 13, 141, we introduce the dual notion of cohomomorphisms. We shall concentrate on only a few aapects of these mappings, mostly with regard to intended applications, [lo, 111. Our basic motivation is t
## Abstract For __n__ sufficiently large the order of a smallest balanced extension of a graph of order __n__ is, in the worst case, β(__n__ + 3)^2^/8β. Β© 1993 John Wiley & Sons, Inc.
Pretzel, 0. and D. Youngs, Balanced graphs and noncovering graphs, Discrete Mathematics, 88 (1991) 279-287. Probabilistic arguments show that triangle-free noncovering graphs are very common. Nevertheless, few specific examples are known. In this paper we describe a simple method of constructing a l
Let P be nn arborcscencc, and let F, = {U,, , I/, ). F, = { \y,, . . , V, } bc two systems consisting of directed s&paths of P. MIntmax theorems and algorithms UC proved concerning the so called bi-pcrth system (P; F,,. F, ). One can define a hypqraph to every hi-path system. The class of t hcsc "Ri