๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Minimal k-saturated and color critical graphs of prescribed minimum degree

โœ 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.


๐Ÿ“œ SIMILAR VOLUMES


The minimum degree of Ramsey-minimal gra
โœ Jacob Fox; Kathy Lin ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 144 KB ๐Ÿ‘ 1 views

## Abstract We write __H__โ€‰โ†’โ€‰__G__ if every 2โ€coloring of the edges of graph __H__ contains a monochromatic copy of graph __G__. A graph __H__ is __G__โ€__minimal__ if __H__โ€‰โ†’โ€‰__G__, but for every proper subgraph __H__โ€ฒ of __H__, __H__โ€ฒโ€‰โ†›โ€‰__G__. We define __s__(__G__) to be the minimum __s__ such th

On the minimum degree of minimal Ramsey
โœ Tibor Szabรณ; Philipp Zumstein; Stefanie Zรผrcher ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 145 KB ๐Ÿ‘ 1 views

## 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 biโ€regular bipartite graphs and forests. We also make initial progress for graphs of l

Realizability of p-point graphs with pre
โœ F. T. Boesch; C. L. Suffel ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 316 KB

## Abstract It is well known that certain graphโ€theoretic 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,

Infinite families of crossing-critical g
โœ Drago Bokal ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 242 KB ๐Ÿ‘ 1 views

## Abstract ล irรกลˆ constructed infinite families of __k__โ€crossingโ€critical 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__โ€crossingโ€criti