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What Is Enumerative Combinatorics?
1986The basic problem of enumerative combinatorics is that of counting the number of elements of a finite set. Usually are given an infinite class of finite sets S i where i ranges over some index set I (such as the nonnegative integers ℕ), and we wish to count the number ƒ(i) of elements of each S i “simultaneously.” Immediate philosophical difficulties ...
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Enumerative combinatorics and algebraic languages
2006We give a survey of recent works relating algebraic languages with the combinatorics of "planar pictures" (i.e. planar maps, animals, polyominoes, secondary structures,…). Such objects are encoded with words. Applications are in enumeration theory, in connection with statistical Physics, molecular Biology, algorithmic complexity and computer graphics ...
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Enumerative Combinatorics and Computer Science
1990This short paper is a summary of a survey talk given on the interplay between enumerative Combinatorics and Computer Science.
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High Performance Computing Experiments in Enumerative and Algebraic Combinatorics
Proceedings of the International Workshop on Parallel Symbolic Computation, 2017The goal of this abstract is to report on some parallel and high performance computations in combinatorics, each involving large datasets generated recursively: we start by presenting a small framework implemented in Sagemath [12] allowing performance of map/reduce like computations on such recursively defined sets.
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1997
This book is the first of a two-volume basic introduction to enumerative combinatorics at a level suitable for graduate students and research mathematicians. It concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics.
Richard P. Stanley, Gian-Carlo Rota
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This book is the first of a two-volume basic introduction to enumerative combinatorics at a level suitable for graduate students and research mathematicians. It concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics.
Richard P. Stanley, Gian-Carlo Rota
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The Building Game: From Enumerative Combinatorics to Conformational Diffusion
Journal of nonlinear science, 2016Daniel Johnson-Chyzhykov, Govind Menon
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