Title
On graphs with few disjoint t-star minors
Abstract
For fixed positive integers t=3 and k, consider the class of graphs which have at most k disjoint minors isomorphic to a t-star. We shall see that almost all of these graphs contain k vertices such that deleting them leaves a graph with no such minor. This holds for both labelled and unlabelled graphs, and answers a question of Bernardi, Noy and Welsh. We also estimate the asymptotic proportion of graphs in the class which do not have this property.
Year
DOI
Venue
2011
10.1016/j.ejc.2011.07.004
Eur. J. Comb.
Keywords
Field
DocType
asymptotic proportion,unlabelled graph,disjoint t-star minor,k disjoint minor
Discrete mathematics,Indifference graph,Combinatorics,Robertson–Seymour theorem,Partial k-tree,Chordal graph,Clique-sum,Cograph,Pathwidth,1-planar graph,Mathematics
Journal
Volume
Issue
ISSN
32
8
0195-6698
Citations 
PageRank 
References 
2
0.38
9
Authors
1
Name
Order
Citations
PageRank
Colin McDiarmid11071167.05