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A $k$-sum Decomposition of Strongly Unimodular Matrices

Mathematics – Combinatorics
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A $q$-analogue of the FKG inequality and some applications

Mathematics – Combinatorics
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A 2-coloring of $[1,n]$ can have $\frac{n^2}{2a(a^2+2a+3)} + O(n)$ monochromatic triples of the form $\{x,y,x+ay\}, a \geq 2$, but not less!

Mathematics – Combinatorics
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A 2-coloring of [1,n] can have (n^2)/22 + O(n) monochromatic Schur triples, but not less!

Mathematics – Combinatorics
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A 27-vertex graph that is vertex-transitive and edge-transitive but not l-transitive

Mathematics – Combinatorics
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A Basic Elementary Extension of the Duchet-Meyniel Theorem

Mathematics – Combinatorics
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A basis for the right quantum algebra and the "1=q" principle

Mathematics – Combinatorics
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A better algorithm for random k-SAT

Mathematics – Combinatorics
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A better upper bound on the number of triangulations of a planar point set

Mathematics – Combinatorics
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A Bichromatic Incidence Bound and an Application

Mathematics – Combinatorics
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A bijection between 2-triangulations and pairs of non-crossing Dyck paths

Mathematics – Combinatorics
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A Bijection between Atomic Partitions and Unsplitable Partitions

Mathematics – Combinatorics
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A bijection between certain non-crossing partitions and sequences

Mathematics – Combinatorics
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A Bijection between classes of Fully Packed Loops and Plane Partitions

Mathematics – Combinatorics
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A bijection between dominant Shi regions and core partitions

Mathematics – Combinatorics
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A bijection between Littlewood-Richardson tableaux and rigged configurations

Mathematics – Combinatorics
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A bijection between noncrossing and nonnesting partitions for classical reflection groups

Mathematics – Combinatorics
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A bijection between noncrossing and nonnesting partitions of types A and B

Mathematics – Combinatorics
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A Bijection Between Partially Directed Paths in the Symmetric Wedge and Matchings

Mathematics – Combinatorics
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A bijection between the d-dimensional simplices with distances in {1,2} and the partitions of d+1

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