Document Type

Article

Publication Date

6-4-2012

Abstract

A 3-connected graph is called 3 +-connected if it has no 3-separation that separates a "large" fan or K 3,n from the rest of the graph. It is proved in this paper that except for K 4, every 3 +-connected graph has a 3 +-connected proper minor that is at most two edges away from the original graph. This result is used to characterize Q-minor-free graphs, where Q is obtained from the cube by contracting an edge. © 2012 Society for Industrial and Applied Mathematics.

Publication Source (Journal or Book title)

SIAM Journal on Discrete Mathematics

First Page

102

Last Page

113

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