On Balanced Graphs
✍ Scribed by Flavia Bonomo; Guillermo Durán; Min Chih Lin; Jayme L Szwarcfiter
- Publisher
- Springer-Verlag
- Year
- 2005
- Tongue
- English
- Weight
- 242 KB
- Volume
- 105
- Category
- Article
- ISSN
- 0025-5610
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
## Abstract A set __D__ of vertices in a graph is said to be a dominating set if every vertex not in __D__ is adjacent to some vertex in __D.__ The domination number β(__G__) of a graph __G__ is the size of a smallest dominating set. __G__ is called domination balanced if its vertex set can be part
The concept of strongly balanced graph is introduced. It is shown that there exists a strongly balanced graph with u vertices and e edges if and only if I s u -1 s e s ( 2 " ) . This result is applied to a classic question of Erdos and Renyi: What is the probability that a random graph on n vertices
We propose a generalization of signed graphs, called group graphs. These are graphs regarded as symmetric digraphs with a group element s(u, u ) called the signing associated with each arc (u, u ) such that s(u, u)s(u, u) = 1. A group graph is ba2anced if the product s(ul, u2)s(u2, ug) -.s(u,, ul) =