Abstract | ||
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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 |
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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 |
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Rhiannon Hall | 1 | 48 | 7.55 |
Dillon Mayhew | 2 | 102 | 18.63 |