Results 1 to 10 of about 11,687 (142)

COMPLEXITY PROBLEMS IN ENUMERATIVE COMBINATORICS [PDF]

open access: yesProceedings of the International Congress of Mathematicians (ICM 2018), 2019
We give a broad survey of recent results in Enumerative Combinatorics and their complexity aspects.
Igor Pak
exaly   +3 more sources

Druggable chemical space and enumerative combinatorics. [PDF]

open access: yesJ Cheminform, 2013
There is a growing body of literature describing the properties of marketed drugs, the concept of drug-likeness and the vastness of chemical space. In that context, enumerative combinatorics with simple atomic components may be useful in the conception and design of structurally novel compounds for expanding and enhancing high-throughput screening (HTS)
Yu MJ.
europepmc   +4 more sources

Tests and Proofs for Enumerative Combinatorics [PDF]

open access: yesLecture Notes in Computer Science, 2016
In this paper we show how the research domain of enumerative combinatorics can benefit from testing and formal verification. We formalize in Coq the combinatorial structures of permutations and maps, and a couple of related operations. Before formally proving soundness theorems about these operations, we first validate them, by using logic programming (
Catherine Dubois, Alain Giorgetti
exaly   +2 more sources

Enumerative Combinatorics [PDF]

open access: yesOberwolfach Reports, 2014
Enumerative Combinatorics focusses on the exact and asymptotic counting of combinatorial objects. It is strongly connected to the probabilistic analysis of large combinatorial structures and has fruitful connections to several disciplines, including statistical physics, algebraic combinatorics, graph theory and computer science.
Mireille Bousquet-Mélou   +3 more
  +4 more sources

Many 2-level polytopes from matroids [PDF]

open access: yes, 2015
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
core   +3 more sources

Enumerative Combinatorics of Intervals in the Dyck Pattern Poset [PDF]

open access: yesOrder, 2021
AbstractWe initiate the study of the enumerative combinatorics of the intervals in the Dyck pattern poset. More specifically, we find some closed formulas to express the size of some specific intervals, as well as the number of their covering relations. In most of the cases, we are also able to refine our formulas by rank.
Bernini A.   +3 more
openaire   +4 more sources

Analytic aspects of the shuffle product [PDF]

open access: yes, 2008
There exist very lucid explanations of the combinatorial origins of rational and algebraic functions, in particular with respect to regular and context free languages.
Mishna, Marni, Zabrocki, Mike
core   +6 more sources

A note on statistical averages for oscillating tableaux [PDF]

open access: yes, 2014
We define a statistic called the weight of oscillating tableaux. Oscillating tableaux, a generalization of standard Young tableaux, are certain walks in Young's lattice of partitions.
Hopkins, Sam, Zhang, Ingrid
core   +2 more sources

Enumeration of simple random walks and tridiagonal matrices

open access: yes, 2002
We present some old and new results in the enumeration of random walks in one dimension, mostly developed in works of enumerative combinatorics. The relation between the trace of the $n$-th power of a tridiagonal matrix and the enumeration of weighted ...
Bauer M   +23 more
core   +1 more source

New directions in enumerative chess problems [PDF]

open access: yes, 2005
Normally a chess problem must have a unique solution, and is deemed unsound even if there are alternatives that differ only in the order in which the same moves are played.
Elkies, Noam D.
core   +1 more source

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