Abstract | ||
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The notion of thin sums matroids was invented to extend the notion of representability to non-finitary matroids. A matroid is tame if every circuit–cocircuit intersection is finite. We prove that a tame matroid is a thin sums matroid over a finite field k if and only if all its finite minors are representable over k. |
Year | DOI | Venue |
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2018 | 10.1016/j.jctb.2017.08.004 | Journal of Combinatorial Theory, Series B |
Keywords | Field | DocType |
Matroid,Infinite Matroid,Tree-decomposition,Representable,Rota's Conjecture,Minor,Tutte-decomposition,Thin sums,Ends | Matroid,Discrete mathematics,Combinatorics,Matroid partitioning,Graphic matroid,Mathematics,Binary number | Journal |
Volume | ISSN | Citations |
128 | 0095-8956 | 6 |
PageRank | References | Authors |
0.87 | 4 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Nathan Bowler | 1 | 16 | 6.83 |
Johannes Carmesin | 2 | 29 | 7.08 |