Matroid Valuation on Independent Sets

Matroid Valuation on Independent Sets
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独立集上的拟阵估值

DOI:
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发表时间:
1997
期刊:
J. Comb. Theory B
影响因子:
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通讯作者:
K. Murota
K. Murota
中科院分区:
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文献类型:
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作者:
K. Murota

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最近,Dress和Wenzel引入了赋值拟阵的概念,它是拟阵基交换公理的一个定量扩展。本文给出了赋值拟阵的两组隐态等价公理,它们是由定义在基本拟阵的独立集族上的函数表示的。
Recently Dress and Wenzel introduced the concept of a valuated matroid in terms of a quantitative extension of the basis exchange axiom for matroids. This paper gives two sets of cryptomorphically equivalent axioms of valuated matroids in terms of a function defined on the family of the independent sets of the underlying matroid.