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
โฆ LIBER โฆ
The multichromatic numbers of some Kneser graphs
โ Scribed by Saul Stahl
- Book ID
- 108316191
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 216 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
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## Abstract The vertex set of the reduced Kneser graph KG~2~(__m,2__) consists of all pairs {__a,b__} such that __a, b__ฮต{1,2,โฆ,__m__} and 2โค|__a__โ__b__|โค__m__โ2. Two vertices are defined to be adjacent if they are disjoint. We prove that, if __m__โฅ4 __and m__โ 5, then the circular chromatic number
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