## Abstract A graph is chromatically unique if it is uniquely determined by its chromatic polynomial. Let __G__ be a chromatically unique graph and let __K__~__m__~ denote the complete graph on __m__ vertices. This paper is mainly concerned with the chromaticity of __K__~__m__~ + __G__ where + deno
On the chromatic uniqueness of the graph W(n, n − 2) + Kk
✍ Scribed by Feng-Ming Dong; Yanpei Liu
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 360 KB
- Volume
- 145
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
vertices, for p odd. has shown however t e of graphs on PO vertices whose construction was described in [ 11. search was na o other graph with this chromatic polynomial was found. es
## Abstract Let λ(__G__) be the line‐distinguishing chromatic number and __x__′(__G__) the chromatic index of a graph __G__. We prove the relation λ(__G__) ≥ __x__′(__G__), conjectured by Harary and Plantholt. © 1993 John Wiley & Sons, Inc.
## 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