Title
On excluded minors for classes of graphical matroids.
Abstract
Frame matroids and lifted-graphic matroids are two distinct minor-closed classes of matroids, each of which generalises the class of graphic matroids. The class of quasi-graphic matroids, recently introduced by Geelen, Gerards, and Whittle, simultaneously generalises both the classes of frame and lifted-graphic matroids. Let M be one of these three classes, and let r be a positive integer. We show that M has only a finite number of excluded minors of rank r.
Year
DOI
Venue
2018
10.1016/j.disc.2018.02.022
Discrete Mathematics
Keywords
Field
DocType
Frame matroids,Lifted-graphic matroids,Quasi-graphic matroids,Excluded minors
Integer,Matroid,Discrete mathematics,Combinatorics,Finite set,Graphic matroid,Mathematics
Journal
Volume
Issue
ISSN
341
6
0012-365X
Citations 
PageRank 
References 
0
0.34
6
Authors
2
Name
Order
Citations
PageRank
Daryl Funk100.68
Dillon Mayhew210218.63