论文标题

图形匹配的模棱两可的日志covity

Equivariant log-concavity of graph matchings

论文作者

Li, Shiyue

论文摘要

对于任何图表,我们表明,匹配给出的图形自动形态组的分级置换表示形式是强烈的log-concave。该证明提供了受kratthenthaler组合图的启发的一系列均等注射剂,并减少了硬Lefschetz定理。

For any graph, we show that the graded permutation representation of the graph automorphism group given by matchings is strongly equivariantly log-concave. The proof gives a family of equivariant injections inspired by a combinatorial map of Kratthenthaler and reduces to the hard Lefschetz theorem.

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