Results 71 to 80 of about 352 (164)
Mathematical tools for data mining: set theory, partial orders, combinatorics
, 2008 The maturing of the field of data mining has brought about an increased level of mathematical sophistication. Such disciplines like topology, combinatorics, partially ordered sets and their associated algebraic structures (lattices and Boolean algebras),
Chabane, Djeraba +3 more
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, 2000 In a 1972 paper, Germain Kreweras investigated noncrossing partitions under the refinement order relation. His paper set the stage both for a wealth of further enumerative results, and for new connections between noncrossing partitions, the combinatorics
Simion, Rodica
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Combinatorial reciprocity theorems: an invitation to enumerative geometric combinatorics
, 2018 Combinatorial reciprocity is a very interesting phenomenon, which can be described as follows: A polynomial, whose values at positive integers count combinatorial objects of some sort, may give the number of combinatorial objects of a different sort when
Sanyal, Raman, Beck, Matthias
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, 1920 Combinatorics is mathematics of enumeration, existence, construction, and optimization questions concerning finite sets. This text focuses on the first three types of questions and covers basic counting and existence principles, distributions, generating
Mazur, David R
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Combinatorics of finite ordered sets: order polytopes and poset entropy
, 2016 The thesis focuses on two open problems on finite partially ordered sets: the structure of order polytopes and the approximation of the number of linear extensions of a poset by mean of graph entropy. The polytopes considered here are the linear ordering
Rexhep, Selim
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A Lie Bracket for the Momentum Kernel. [PDF]
Commun Math Phys, 2023 Frost H, Mafra CR, Mason L.
europepmc +1 more source
Enumerative combinatorics of posets
, 2008 This thesis contains several results concerning the combinatorics of partially ordered sets (posets) which are either of enumerative or extremal nature.
Carroll, Christina C.
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Flag-Symmetric and Locally Rank-Symmetric Partially Ordered Sets
, 1995 This paper is dedicated to someone who has made Fascinating Original Approaches To Algebraic combinatorics, on the occasion of his sixtieth ...
Richard P. Stanley
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ASPECTS OF TOPOLOGICAL APPROACHES FOR DATA SCIENCE. [PDF]
Found Data Sci, 2022 Grbić J, Wu J, Xia K, Wei GW.
europepmc +1 more source