Title
On the critical densities of minor-closed classes.
Abstract
Given a minor-closed class A of graphs, let βA denote the supremum over all graphs in A of the ratio of edges to vertices. We investigate the set B of all such values βA, taking further the project begun by Eppstein. Amongst other results, we determine the small values in B (those up to 2); we show that B is ‘asymptotically dense’; and we answer some questions posed by Eppstein.
Year
DOI
Venue
2019
10.1016/j.ejc.2018.08.002
European Journal of Combinatorics
Field
DocType
Volume
Discrete mathematics,Graph,Combinatorics,Vertex (geometry),Infimum and supremum,Mathematics
Journal
75
ISSN
Citations 
PageRank 
0195-6698
0
0.34
References 
Authors
7
2
Name
Order
Citations
PageRank
Colin McDiarmid11071167.05
Michal Przykucki2356.79