Title
Non-cover generalized Mycielski, Kneser, and Schrijver graphs
Abstract
A graph is said to be a cover graph if it is the underlying graph of the Hasse diagram of a finite partially ordered set. We prove that the generalized Mycielski graphs M\"m(C\"2\"t\"+\"1) of an odd cycle, Kneser graphs KG(n,k), and Schrijver graphs SG(n,k) are not cover graphs when m=0,t=1, k=1, and n=2k+2. These results have consequences in circular chromatic number.
Year
DOI
Venue
2008
10.1016/j.disc.2007.08.082
Discrete Mathematics
Keywords
Field
DocType
circular chromatic number,kneser graph,schrijver graph,mycielski graph,cover graph,partially ordered set
Discrete mathematics,Odd graph,Indifference graph,Combinatorics,Chordal graph,Kneser graph,1-planar graph,Triangle-free graph,Pancyclic graph,Mathematics,Split graph
Journal
Volume
Issue
ISSN
308
20
Discrete Mathematics
Citations 
PageRank 
References 
0
0.34
8
Authors
3
Name
Order
Citations
PageRank
Ko-wei Lih152958.80
Chen-Ying Lin2101.82
Li-da Tong34612.49