Title
Towards a splitter theorem for internally 4-connected binary matroids VIII: Small matroids
Abstract
Our splitter theorem studies pairs of the form (M,N), where M and N are internally 4-connected binary matroids, M has a proper N-minor, and if M′ is an internally 4-connected matroid such that M has a proper M′-minor and M′ has an N-minor, then |E(M)|−|E(M′)|>3. The analysis in the splitter theorem requires the constraint |E(M)|≥16. In this article, we complement that analysis by describing all such pairs for which |E(M)|≤15.
Year
DOI
Venue
2017
10.1016/j.aam.2016.11.009
Advances in Applied Mathematics
Keywords
Field
DocType
05B35
Matroid,Discrete mathematics,Combinatorics,Of the form,Splitter,Computer search,Mathematics,Binary number
Journal
Volume
ISSN
Citations 
85
0196-8858
0
PageRank 
References 
Authors
0.34
6
3
Name
Order
Citations
PageRank
Carolyn Chun1258.25
Dillon Mayhew210218.63
James Oxley339757.57