Let B = (Ui=1Bi)-Bi-n be a partition of base B in the union (or sum) of n matroids into independent sets Bi of Mi. We prove that every other base B' has such a partition where B-i and B-i' span the same set in Mi for i = 1, 2,..., n. (C) 2016 Elsevier B.V. All rights reserved.
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Univ British Columbia, Dept Comp Sci, Vancouver, BC V6T 1Z4, CanadaUniv British Columbia, Dept Comp Sci, Vancouver, BC V6T 1Z4, Canada
Harvey, Nicholas J. A.
Kiraly, Tamas
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Eotvos Lorand Univ, Dept Operat Res, MTA ELTE Egervary Res Grp, Budapest, HungaryUniv British Columbia, Dept Comp Sci, Vancouver, BC V6T 1Z4, Canada
Kiraly, Tamas
Lau, Lap Chi
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Chinese Univ Hong Kong, Dept Comp Sci & Engn, Shatin, Hong Kong, Peoples R ChinaUniv British Columbia, Dept Comp Sci, Vancouver, BC V6T 1Z4, Canada
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Shaanxi Normal Univ, Dept Math, Xian 710062, Peoples R China
Hebei Univ Sci & Technol, Dept Math, Shijiazhuang 050018, Peoples R ChinaShaanxi Normal Univ, Dept Math, Xian 710062, Peoples R China
Yao, Wei
Shi, Fu-Gui
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Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R ChinaShaanxi Normal Univ, Dept Math, Xian 710062, Peoples R China