๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Upper bounds for the 2-hued chromatic number of graphs in terms of the independence number

โœ Scribed by A. Dehghan; A. Ahadi


Book ID
116401278
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
203 KB
Volume
160
Category
Article
ISSN
0166-218X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


A new upper bound for the independence n
โœ Rong Luo; Yue Zhao ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 107 KB ๐Ÿ‘ 2 views

In 1968, Vizing conjectured that if G is a -critical graph with n vertices, then (G) โ‰ค n / 2, where (G) is the independence number of G. In this paper, we apply Vizing and Vizing-like adjacency lemmas to this problem and prove that (G)<(((5 -6)n) / (8 -6))<5n / 8 if โ‰ฅ 6. แญง 2010 Wiley

New bounds for the chromatic number of g
โœ Manouchehr Zaker ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 184 KB ๐Ÿ‘ 1 views

## Abstract In this article we first give an upper bound for the chromatic number of a graph in terms of its degrees. This bound generalizes and modifies the bound given in 11. Next, we obtain an upper bound of the order of magnitude ${\cal O}({n}^{{1}-\epsilon})$ for the coloring number of a graph

An upper bound for the harmonious chroma
โœ Sin-Min Lee; John Mitchem ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 149 KB ๐Ÿ‘ 2 views

An upper bound for the harmonious chromatic number of a graph G is given. Three corollaries of the theorem are theorems or improvements of the theorems of Miller and Pritikin. The assignment of colors to the vertices of a graph such that each vertex has exactly one color has been studied for well o