Title
The Colouring Number of Infinite Graphs
Abstract
We show that, given an infinite cardinal μ, a graph has colouring number at most μ if and only if it contains neither of two types of subgraph. We also show that every graph with infinite colouring number has a well-ordering of its vertices that simultaneously witnesses its colouring number and its cardinality.
Year
DOI
Venue
2019
10.1007/s00493-019-4045-9
Combinatorica
Keywords
Field
DocType
05C63, 05C75, 05C15, 03E05
Discrete mathematics,Graph,Combinatorics,Vertex (geometry),Cardinality,If and only if,Mathematics
Journal
Volume
Issue
ISSN
39
6
0209-9683
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Nathan Bowler1166.83
Johannes Carmesin2297.08
Péter Komjáth300.34
Christian Reiher434.49