Title
Contracting an element from a cocircuit
Abstract
We consider the situation that M and N are 3-connected matroids such that |E(N)|=4 and C^* is a cocircuit of M with the property that M/x"0 has an N-minor for some x"0@?C^*. We show that either there is an element x@?C^* such that si(M/x) or co(si(M/x)) is 3-connected with an N-minor, or there is a four-element fan of M that contains two elements of C^* and an element x such that si(M/x) is 3-connected with an N-minor.
Year
DOI
Venue
2008
10.1016/j.aam.2008.03.002
Advances in Applied Mathematics
Keywords
Field
DocType
3-connected matroids,minor,four-element fan,cocircuit,. matroid,splitter. the research of the first author was supported by a nuffield foundation award,3-connected,matroid,splitter
Matroid,Combinatorics,Mathematics
Journal
Volume
Issue
ISSN
41
4
0196-8858
Citations 
PageRank 
References 
2
0.44
11
Authors
2
Name
Order
Citations
PageRank
Rhiannon Hall1487.55
Dillon Mayhew210218.63