Title

Typical Subgraphs of 3- and 4-Connected Graphs

Document Type

Article

Publication Date

1-1-1993

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 Möbius ladder, or K4, k. We also prove an analogous result for infinite graphs. © 1993 by Academic Press, Inc.

Publication Source (Journal or Book title)

Journal of Combinatorial Theory, Series B

First Page

239

Last Page

257

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