Title
Typical subgraphs of 3- and 4-connected graphs
Abstract
ABSTRACT We prove that, for every positive integer k, there is an integer N such that every 3-connected graph with at least N vertices has a minor isomorphic to the k-spoke wheel or K3;k; and that every internally 4-connected graph with at least N vertices has a minor isomorphic to the 2k-spoke double wheel, the k-rung circular ladder, the k-rung M obius ladder, or K4;k. We also prove an analogous result for innite graphs. 2
Year
DOI
Venue
1993
10.1006/jctb.1993.1019
J. Comb. Theory, Ser. B
Keywords
Field
DocType
typical subgraphs,4-connected graph,connected graph
Discrete mathematics,Wheel graph,Combinatorics,Graph toughness,Graph isomorphism,Cycle graph,Independent set,Möbius ladder,Planar graph,Mathematics,Path graph
Journal
Volume
Issue
ISSN
57
2
Journal of Combinatorial Theory, Series B
Citations 
PageRank 
References 
37
3.54
3
Authors
3
Name
Order
Citations
PageRank
Bogdan Oporowski126623.24
James Oxley239757.57
Robin Thomas3373.54