Enumerative Geometry Meets Statistics, Combinatorics, and Topology
Notices of the American Mathematical Society, 2023 We explain connections among several, a priori unrelated, areas of mathematics: combinatorics, algebraic statistics, topology and enumerative algebraic geometry. Our focus is on discrete invariants, strongly related to the theory of Lorentzian polynomials. The main concept joining the mentioned fields is a linear space of matrices.
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Applications in Enumerative Combinatorics of Infinite Weighted Automata\n and Graphs [PDF]
, 2013 Rodrigo De Castro +2 more
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Computer Algebra in the Service of Enumerative Combinatorics
, 2021 Alin Bostan
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Linear-Time and Constant-Space Algorithms to compute Multi-Sequences that arise in Enumerative Combinatorics (and Elsewhere) [PDF]
, 2022 Shalosh B. Ekhad, Doron Zeilberger
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A branch statistic for trees: interpreting coefficients of the characteristic polynomial of braid deformations [PDF]
Enumerative Combinatorics and Applications, 2022 Priyavrat Deshpande, Krishna Menon
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Enumerative properties of generalized associahedra
, 2004 Some enumerative aspects of the fans, called generalized associahedra, introduced by S. Fomin and A. Zelevinsky in their theory of cluster algebras are considered, in relation with a bicomplex and its two spectral sequences.
Chapoton, Frederic
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Enumeration of binary trees compatible with a perfect phylogeny. [PDF]
J Math Biol, 2022 Palacios JA +3 more
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Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold. [PDF]
Constr Approx, 2023 Dick J +3 more
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Enumerative combinatorics on determinants and signed bigrassmannian polynomials [PDF]
, 2019 Masato Kobayashi
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Interview with Francesco Brenti [PDF]
Enumerative Combinatorics and Applications, 2023 ECA
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