Title
New Bounds on the List-Chromatic Index of the Complete Graph and Other Simple Graphs
Abstract
In this paper we show that the list chromatic index of the complete graph Kn is at most n. This proves the list-chromatic conjecture for complete graphs of odd order. We also prove the asymptotic result that for a simple graph with maximum degree d the list chromatic index exceeds d by at most 𝒪(d2/3√log d).
Year
DOI
Venue
1997
10.1017/S0963548397002927
Combinatorics, Probability & Computing
Keywords
Field
DocType
complete graph,odd order,maximum degree,new bounds,dependent set,weight k,list chromatic index,lower bound,asymptotic result,list-chromatic conjecture,simple graph,list-chromatic index,simple graphs,random binary vector
Discrete mathematics,Outerplanar graph,Combinatorics,Foster graph,Friendship graph,Petersen graph,Butterfly graph,Windmill graph,1-planar graph,Mathematics,Critical graph
Journal
Volume
Issue
Citations 
6
3
32
PageRank 
References 
Authors
3.22
13
2
Name
Order
Citations
PageRank
Roland Häggkvist1323.22
Jeannette Janssen229532.23