Enumerative Combinatorics of Simplicial and Cell Complexes: Kirchhoff and Trent Type Theorems [PDF]
Sylvain E. Cappell, Edward Y. Miller
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Enumerative combinatorics, representations and quasisymmetric functions
Η παρούσα διατριβή αποτελείται ουσιαστικά από δυο μέρη με κύριο πρωταγωνιστή τις χρωματισμένες quasi-συμμετρικές συναρτήσεις. Το 1984 ο Gessel εισήγαγε τις quasi-συμμετρικές συναρτήσεις, μια γενίκευση των συμμετρικών συναρτήσεων. Έπειτα, το 1993, μαζί με τον Reutenauer μελέτησαν εκτιμήσεις διάφορων quasi-συμμετρικών συναρτήσεων που σχετίζονται με ...
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Deformation of tropical Hirzebruch surfaces and enumerative geometry [PDF]
We illustrate the use of tropical methods by generalizing a formula due to Abramovich and Bertram, extended later by Vakil. Namely, we exhibit relations between enumerative invariants of the Hirzebruch surfaces $\Sigma_n$ and $\Sigma_{n+2}$, obtained by deforming the first surface to the latter.
arxiv
All galls are divided into three or more parts: recursive enumeration of labeled histories for galled trees. [PDF]
Mathur S, Rosenberg NA.
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Combinatorial identities related to eigenfunction decompositions of Hill operators: Open Questions [PDF]
We formulate several open questions related to enumerative combinatorics, which arise in the spectral analysis of Hill operators with trigonometric polynomial potentials.
arxiv
Enumerative and planar combinatorics of trivariate monomial resolutions
The canonical sylvan resolution is a resolution of an arbitrary monomial ideal over a polynomial ring that is minimal and has an explicit combinatorial formula for the differential. The differential is a weighted sum over lattice paths of weights of chain-link fences, which are sequences of faces that are linked to each other via higher-dimensional ...
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Enumerative combinatorics of Young tableaux, pure and applied mathematics vol. 115. S. S. Abhyankar, Marcel Dekker, New York, 1988. No. of pages: 536. Price: $99.75 (U.S. & Canada) $119.75 (elsewhere) ISBN 0‐8247‐7816‐2 [PDF]
Roger Cook
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Combinatorics of triangular partitions [PDF]
François Bergeron, Mikhail Mazin
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What Does It Take to Solve the 3D Ising Model? Minimal Necessary Conditions for a Valid Solution. [PDF]
Viswanathan GM+3 more
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