Title | ||
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Towards a splitter theorem for internally 4-connected binary matroids VIII: Small matroids |
Abstract | ||
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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 Chun | 1 | 25 | 8.25 |
Dillon Mayhew | 2 | 102 | 18.63 |
James Oxley | 3 | 397 | 57.57 |