## Abstract We write __H__โโโ__G__ if every 2โcoloring of the edges of graph __H__ contains a monochromatic copy of graph __G__. A graph __H__ is __G__โ__minimal__ if __H__โโโ__G__, but for every proper subgraph __H__โฒ of __H__, __H__โฒโโโ__G__. We define __s__(__G__) to be the minimum __s__ such th
Minimal k-saturated and color critical graphs of prescribed minimum degree
โ Scribed by D. A. Duffus; D. Hanson
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 505 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We investigate the minimization problem of the minimum degree of minimal Ramsey graphs, initiated by Burr et al. We determine the corresponding graph parameter for numerous bipartite graphs, including biโregular bipartite graphs and forests. We also make initial progress for graphs of l
## Abstract It is well known that certain graphโtheoretic extremal questions play a central role in the study of communication network vulnerability. Herein we consider a generalization of some of the classical results in this area. We define a (__p__, ฮ, ฮด, ฮป) graph as a graph having __p__ points,
## Abstract ล irรกล constructed infinite families of __k__โcrossingโcritical graphs for every __k__โฉพ3 and Kochol constructed such families of simple graphs for every __k__โฉพ2. Richter and Thomassen argued that, for any given __k__โฉพ1 and __r__โฉพ6, there are only finitely many simple __k__โcrossingโcriti