【摘 要】
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Matrices contain combinatorial information. They may provide alternative repre-sentations of combinatorial ideas. Examples include permutation matrices as r
【机 构】
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UniversityofWisconsin-Madison
【出 处】
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2016年张量和矩阵学术研讨会(International conference on Tensor, Matrix a
论文部分内容阅读
Matrices contain combinatorial information. They may provide alternative repre-sentations of combinatorial ideas. Examples include permutation matrices as represen-tations of permutations of a finite set, and adjacency matrices as representations of a finite graph. The linear algebraic properties of these matrices may provide useful com-binatorial information, and combinatorial information about a matrix may impact its linear algebraic properties. At the same time, some combinatorial constructs are defined by matrices. A notable example are the alternating sign matrices which arise in a num-ber of ways including from the partial order on permutations called the Bruhat order. In this talk we will explore various connections between combinatorics and matrices, combinatorial matrices.
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