Title
Quasi-graphic matroids
Abstract
Frame matroids and lifted-graphic matroids are two interesting generalizations of graphic matroids. Here we introduce a new generalization, {\em quasi-graphic matroids}, that unifies these two existing classes. Unlike frame matroids and lifted-graphic matroids, it is easy to certify that a matroid is quasi-graphic. The main result of the paper is that every $3$-connected representable quasi-graphic matroid is either a lifted-graphic matroid or a frame matroid.
Year
Venue
DocType
2018
Journal of Graph Theory
Journal
Volume
Issue
Citations 
87
2
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Jim Geelen124129.49
bert gerards200.34
Geoff Whittle347157.57