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Analytic Combinatorics is a self-contained treatment of the mathematics underlying the analysis of discrete structures, which has emerged over the past several decades as an essential tool in the understanding of properties of computer programs and ...
P. Flajolet, R. Sedgewick
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SMARANDACHE GEOMETRIES & MAP THEORY WITH APPLICATIONS (I) [PDF]
Combinatorics is a powerful tool for dealing with relations among objectives mushroomed in the past century. However, an even more important work for mathematician is to apply combinatorics to other mathematics and other sciences beside just to find ...
Mao, Linfan
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This is the preface of the special volume of Discrete Mathematics dedicated to Combinatorics 2008 we curated as guest ...
Bonisoli A.+6 more
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Opinion Exchange Dynamics [PDF]
We survey a range of models of opinion exchange. From the introduction: "The exchange of opinions between individuals is a fundamental social interaction...
Mossel, Elchanan, Tamuz, Omer
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This is the report on the Oberwolfach workshop on Combinatorics, held 1–7 January 2006. Combinatorics is a branch of mathematics studying families of mainly, but not exclusively, finite or countable structures – discrete objects.
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On the existence of block-transitive combinatorial designs [PDF]
Block-transitive Steiner $t$-designs form a central part of the study of highly symmetric combinatorial configurations at the interface of several disciplines, including group theory, geometry, combinatorics, coding and information theory, and ...
Huber, Michael
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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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A Case for Combinatorics: A Research Commentary [PDF]
In this commentary, we make a case for the explicit inclusion of combinatorial topics in mathematics curricula, where it is currently essentially absent. We suggest ways in which researchers might inform the field’s understanding of combinatorics and its
Lockwood, Elise+2 more
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Chutes and Ladders with Large Spinners
We prove a conjecture from a 2011 College Mathematics Journal article addressing the expected number of turns in a Chutes and Ladders game when the spinner range is close to the length of the board.
Connors, Darcie E., Glass, Darren B.
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Catalan Traffic and Integrals on the Grassmannians of Lines
We prove that certain numbers occurring in a problem of paths enumeration, studied by Niederhausen (Catlan Traffic at the Beach, The Electronic Journal of Combinatorics, 9, (2002), 1--17), are top intersection numbers in the cohomology ring of the ...
Fulton+6 more
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