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Advanced Materials, 2020 Artificial scent screening systems (known as electronic noses, E‐noses) have been researched extensively. A portable, automatic, and accurate, real‐time E‐nose requires both robust cross‐reactive sensing and fingerprint pattern recognition.
Shu Wang, Ming Wang, Zequn Cui
exaly +2 more sources
Combinatorics of the Delta conjecture at
Algebraic Combinatorics, 2023 In the context of the shuffle theorem, many classical integer sequences appear with a natural refinement by two statistics $q$ and $t$: for example the Catalan and Schr\"oder numbers. In particular, the bigraded Hilbert series of diagonal harmonics is a $
S. Corteel +2 more
semanticscholar +1 more source
Maximal green sequences for arbitrary triangulations of marked surfaces (Extended Abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 In general, the existence of a maximal green sequence is not mutation invariant. In this paper we show that it is in fact mutation invariant for cluster quivers associated to most marked surfaces.
Matthew R. Mills
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A noncommutative geometric LR rule [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 The geometric Littlewood-Richardson (LR) rule is a combinatorial algorithm for computing LR coefficients derived from degenerating the Richardson variety into a union of Schubert varieties in the Grassmannian.
Edward Richmond +2 more
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Relaxations of the matroid axioms I: Independence, Exchange and Circuits [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 Motivated by a question of Duval and Reiner about higher Laplacians of simplicial complexes, we describe various relaxations of the defining axioms of matroid theory to obtain larger classes of simplicial complexes that contain pure shifted simplicial ...
Jose ́ Alejandro Samper
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Rational Shi tableaux and the skew length statistic [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We define two refinements of the skew length statistic on simultaneous core partitions. The first one relies on hook lengths and is used to prove a refined version of the theorem stating that the skew length is invariant under conjugation of the core ...
Robin Sulzgruber
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Rectangular Young tableaux and the Jacobi ensemble [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 It has been shown by Pittel and Romik that the random surface associated with a large rectangular Youngtableau converges to a deterministic limit. We study the fluctuations from this limit along the edges of the rectangle.We show that in the corner ...
Philippe Marchal
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Links in the complex of weakly separated collections [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 Plabic graphs are combinatorial objects used to study the totally nonnegative Grassmannian. Faces of plabic graphs are labeled by k-element sets of positive integers, and a collection of such k-element sets are the face labels of a plabic graph if that ...
Suho Oh, David Speyer
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A Formula for the Möbius Function of the Permutation Poset Based on a Topological Decomposition [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 The poset P of all permutations ordered by pattern containment is a fundamental object of study in the field of permutation patterns. This poset has a very rich and complex topology and an understanding of its Möbius function has proved particularly ...
Jason P Smith
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Combinatorial descriptions of the crystal structure on certain PBW bases [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 Lusztig's theory of PBW bases gives a way to realize the crystal B(∞) for any simple complex Lie algebra where the underlying set consists of Kostant partitions. In fact, there are many different such realizations, one for each reduced expression for the
Ben Salisbury +2 more
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