## Abstract The original article to which this Erratum refers was published in Journal of Graph Theory 47:129β146,2004.
Circular Chromatic Numbers and Fractional Chromatic Numbers of Distance Graphs
β Scribed by G.J. Chang; L. Huang; X. Zhu
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 171 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper studies circular chromatic numbers and fractional chromatic numbers of distance graphs G(Z , D) for various distance sets D. In particular, we determine these numbers for those D sets of size two, for some special D sets of size three, for
π SIMILAR VOLUMES
## Abstract An Erratum has been published for this article in Journal of Graph Theory 48: 329β330, 2005. Let __M__ be a set of positive integers. The distance graph generated by __M__, denoted by __G__(__Z, M__), has the set __Z__ of all integers as the vertex set, and edges __ij__ whenever |__i__
## Abstract We introduce a construction called the __cone__ over a graph. It is a natural generalisation of Mycielski's construction. We give a formula for the fractional chromatic numbers of all cones over graphs, which generalizes that given in 3 for Mycielski's construction. Β© 2001 John Wiley &
Given positive integers m, k, s with m > sk, let D m,k,s represent the set {1, 2, . . . , m}\{k, 2k, . . . , sk}. The distance graph G(Z , D m,k,s ) has as vertex set all integers Z and edges connecting i and j whenever |i -j| β D m,k,s . This paper investigates chromatic numbers and circular chroma
The distance graph G(D) with distance set D={d 1 , d 2 , ...} has the set Z of integers as vertex set, with two vertices i, j Β₯ Z adjacent if and only if |i -j| Β₯ D. We prove that the chromatic number of G(D) is finite whenever inf{d i+1 /d i } > 1 and that every growth speed smaller than this admit
## Abstract The vertex set of the reduced Kneser graph KG~2~(__m,2__) consists of all pairs {__a,b__} such that __a, b__Ξ΅{1,2,β¦,__m__} and 2β€|__a__β__b__|β€__m__β2. Two vertices are defined to be adjacent if they are disjoint. We prove that, if __m__β₯4 __and m__β 5, then the circular chromatic number