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Article
Unavoidable Minors of Large 4-Connected Bicircular Matroids
Annals of Combinatorics
Document Type
Article
Publication Date
1-1-2015
Disciplines
Abstract
It is known that any 3-connected matroid that is large enough is certain to contain a minor of a given size belonging to one of a few special classes of matroids. This paper proves a similar unavoidable minor result for large 4-connected bicircular matroids. The main result follows from establishing the list of unavoidable minors of large 4-biconnected graphs, which are the graphs representing the 4-connected bicircular matroids. This paper also gives similar results for internally 4-connected and vertically 4-connected bicircular matroids.
DOI
10.1007/s00026-015-0256-y
Citation Information
Deborah Chun, Tyler Moss, Dan Slilaty and Xiangqian Zhou. "Unavoidable Minors of Large 4-Connected Bicircular Matroids" Annals of Combinatorics Vol. 19 (2015) p. 95 - 105 ISSN: 0218-0006 Available at: http://works.bepress.com/dan_slilaty/24/