On Serial Symmetric Exchanges of Matroid Bases
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Publication:5325941
DOI10.1002/jgt.21675zbMath1269.05020arXiv1110.1826OpenAlexW1550530119MaRDI QIDQ5325941
Publication date: 31 July 2013
Published in: Journal of Graph Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.1826
Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35)
Related Items (6)
Serial exchanges in matroids ⋮ Frame matroids, toric ideals, and a conjecture of White ⋮ Weighted exchange distance of basis pairs ⋮ Partitioning into common independent sets via relaxing strongly base orderability ⋮ Exchange Distance of Basis Pairs in Split Matroids ⋮ On Sequential Basis Exchange in Matroids
Cites Work
- Cyclic orderings and cyclic arboricity of matroids
- Bases-cobases graphs and polytopes of matroids
- Ordering of the elements of a matroid such that its consecutive w elements are independent
- Basis pair graphs of transversal matroids are connected
- Basis-exchange properties of sparse paving matroids
- Some properties of basic families of subsets
- An exchange theorem for bases of matroids
- Edge‐disjoint spanning trees: A connectedness theorem
- Decomposing symmetric exchanges in matroid bases
- A Multiple Exchange Property for Bases
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