𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on the sharp concentration of the chromatic number of random graphs

✍ Scribed by Tomasz Luczak


Publisher
Springer-Verlag
Year
1991
Tongue
English
Weight
108 KB
Volume
11
Category
Article
ISSN
0209-9683

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the chromatic number of a random 5-re
✍ J. DΓ­az; A. C. Kaporis; G. D. Kemkes; L. M. Kirousis; X. PΓ©rez; N. Wormald πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 275 KB πŸ‘ 1 views

## Abstract It was only recently shown by Shi and Wormald, using the differential equation method to analyze an appropriate algorithm, that a random 5‐regular graph asymptotically almost surely has chromatic number at most 4. Here, we show that the chromatic number of a random 5‐regular graph is as

A note on the line-distinguishing chroma
✍ N. Zagaglia Salvi πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 126 KB πŸ‘ 1 views

## Abstract Let Ξ»(__G__) be the line‐distinguishing chromatic number and __x__β€²(__G__) the chromatic index of a graph __G__. We prove the relation Ξ»(__G__) β‰₯ __x__β€²(__G__), conjectured by Harary and Plantholt. Β© 1993 John Wiley & Sons, Inc.