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Star chromatic number

โœ Scribed by A. Vince


Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
393 KB
Volume
12
Category
Article
ISSN
0364-9024

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๐Ÿ“œ SIMILAR VOLUMES


Multichromatic numbers, star chromatic n
โœ Johnson, A.; Holroyd, F. C.; Stahl, S. ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 126 KB ๐Ÿ‘ 1 views

We investigate the relation between the multichromatic number (discussed by Stahl and by Hilton, Rado and Scott) and the star chromatic number (introduced by Vince) of a graph. Denoting these by ฯ‡ \* and ฮท \* , the work of the above authors shows that ฯ‡ \* (G) = ฮท \* (G) if G is bipartite, an odd cy

The star-chromatic number of planar grap
โœ Moser, David ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 127 KB ๐Ÿ‘ 2 views

The star-chromatic number of a graph, a parameter introduced by Vince, is a natural generalization of the chromatic number of a graph. Here we construct planar graphs with star-chromatic number r, where r is any rational number between 2 and 3, partially answering a question of Vince.

The star chromatic number of a graph
โœ H. L. Abbott; B. Zhou ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 469 KB ๐Ÿ‘ 2 views

## Abstract We study a generalization of the notion of the chromatic number of a graph in which the colors assigned to adjacent vertices are required to be, in a certain sense, far apart. ยฉ 1993 John Wiley & Sons, Inc.

A note on the star chromatic number
โœ J. A. Bondy; Pavol Hell ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 176 KB ๐Ÿ‘ 1 views

## Abstract A. Vince introduced a natural generalization of graph coloring and proved some basic facts, revealing it to be a concept of interest. His work relies on continuous methods. In this note we make some simple observations that lead to a purely combinatorial treatment. Our methods yield sho

Star chromatic numbers of some planar gr
โœ Gao, Guogang; Wang, Yiju; Zhou, Huishan ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 173 KB ๐Ÿ‘ 2 views

The concept of the star chromatic number of a graph was introduced by Vince (A. Vince, Star chromatic number, J. Graph Theory 12 (1988), 551--559), which is a natural generalization of the chromatic number of a graph. This paper calculates the star chromatic numbers of three infinite families of pla

Size ramsey numbers of stars versus 4-ch
โœ Oleg Pikhurko ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 124 KB ๐Ÿ‘ 1 views

## Abstract We investigate the asymptotics of the size Ramsey number __รฎ__(__K__~1,__n__~__F__), where __K__~1,__n__~ is the __n__โ€star and __F__ is a fixed graph. The author 11 has recently proved that __rฬ‚__(__K__~1,n~,__F__)=(1+__o__(1))__n__^2^ for any __F__ with chromatic number ฯ‡(__F__)=3. He