Results 31 to 40 of about 11,631 (230)
The scheme of allocating r distinguishable particles into n indistinguishable cells with k non-empty cells is studied along the directions of enumerative combinatorics.
Natalia Enatskaya
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Generation modulo the action of a permutation group [PDF]
Originally motivated by algebraic invariant theory, we present an algorithm to enumerate integer vectors modulo the action of a permutation group. This problem generalizes the generation of unlabeled graph up to an isomorphism.
Nicolas Borie
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A general lattice theoretic construction of Reading constructs Hopf subalgebras of the Malvenuto-Reutenauer Hopf algebra (MR) of permutations. The products and coproducts of these Hopf subalgebras are defined extrinsically in terms of the embedding in MR.
Shirley Law
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Many 2-level polytopes from matroids [PDF]
The family of 2-level matroids, that is, matroids whose base polytope is 2-level, has been recently studied and characterized by means of combinatorial properties.
Grande, Francesco, Rué, Juanjo
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Combinatorics of Second Derivative: Graphical Proof of Glaisher-Crofton Identity
We give a purely combinatorial proof of the Glaisher-Crofton identity which is derived from the analysis of discrete structures generated by the iterated action of the second derivative.
Pawel Blasiak+2 more
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Fourier series of functions involving higher-order ordered Bell polynomials
In 1859, Cayley introduced the ordered Bell numbers which have been used in many problems in number theory and enumerative combinatorics. The ordered Bell polynomials were defined as a natural companion to the ordered Bell numbers (also known as the ...
Kim Taekyun+3 more
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Bayer noise quasisymmetric functions and some combinatorial algebraic structures [PDF]
Recently, quasisymmetric functions have been widely studied due to their big connection to enumerative combinatorics, combinatorial Hopf algebra and number theory.
Adnan Abdulwahid
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Tangency quantum cohomology and characteristic numbers
This work establishes a connection between gravitational quantum cohomology and enumerative geometry of rational curves (in a projective homogeneous variety) subject to conditions of infinitesimal nature like, for example, tangency.
JOACHIM KOCK
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COMBINATORIAL ANALYSIS OF THE DOMINOES SCHEME AND THE CASE OF FIXED MINIMAL FIGURE ON A DOMINO TILE
The dominoes scheme is defined as a scheme of random tiling with poliomino tiles with $r$ ends and $n$ figures from 0 to $(n-1)$ on the ends of tiles of all possible compositions with repetitions, regardless of their order.
Natalia Enatskaya
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Unimodality Problems in Ehrhart Theory
Ehrhart theory is the study of sequences recording the number of integer points in non-negative integral dilates of rational polytopes. For a given lattice polytope, this sequence is encoded in a finite vector called the Ehrhart $h^*$-vector. Ehrhart $h^*
A. Stapledon+45 more
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