ALGEBRAIC COMBINATORICS

no. 3
Equivariant log-concavity of graph matchings
Li, Shiyue1
1 Brown University Departmenet of Mathematics 151 Thayer Street Providence RI 02912 (USA)
Algebraic Combinatorics, Volume 6 (2023) no. 3, pp. 615-622.

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 Krattenthaler and reduces to the equivariant hard Lefschetz theorem.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/alco.284
Classification: 10X99, 14A12, 11L05
Keywords: Equivariant log-concavity, graph matchings, the hard Lefschetz theorem
Li, Shiyue 1

1 Brown University Departmenet of Mathematics 151 Thayer Street Providence RI 02912 (USA)
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Li, Shiyue. Equivariant log-concavity of graph matchings. Algebraic Combinatorics, Volume 6 (2023) no. 3, pp. 615-622. doi : 10.5802/alco.284. https://alco.centre-mersenne.org/articles/10.5802/alco.284/

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