Results 1 to 10 of about 233,889 (251)

Complexity problems in enumerative combinatorics [PDF]

open access: greenProceedings of the International Congress of Mathematicians (ICM 2018), 2018
We give a broad survey of recent results in Enumerative Combinatorics and their complexity aspects.
I. Pak
semanticscholar   +10 more sources

Druggable chemical space and enumerative combinatorics. [PDF]

open access: goldJ Cheminform, 2013
BackgroundThere is a growing body of literature describing the properties of marketed drugs, the concept of drug-likeness and the vastness of chemical space.
Yu MJ.
europepmc   +8 more sources

Enumerative and Algebraic Combinatorics in the 1960’s and 1970’s [PDF]

open access: greenNotices of the International Congress of Chinese Mathematicians, 2021
The period 1960–1979 was an exciting time for enumerative and algebraic combinatorics (EAC). During this period EAC was transformed into an independent subject which is even stronger and more active today.
R. Stanley
semanticscholar   +9 more sources

Enumerative Geometry Meets Statistics, Combinatorics, and Topology [PDF]

open access: greenNotices of the American Mathematical Society, 2022
We explain connections among several, a priori unrelated, areas of mathematics: combinatorics, algebraic statistics, topology and enumerative algebraic geometry.
M. Michałek
semanticscholar   +6 more sources

Algebraic and Geometric Methods in Enumerative Combinatorics [PDF]

open access: greenarXiv, 2014
Enumerative combinatorics is about counting. The typical question is to find the number of objects with a given set of properties. However, enumerative combinatorics is not just about counting.
Federico Ardila
semanticscholar   +6 more sources

Applications in Enumerative Combinatorics of In finite Weighted Automata and Graphs [PDF]

open access: diamondScientific Annals of Computer Science, 2014
In this paper, we present a general methodology to solve a wide variety of classical lattice path counting problems in a uniform way. These counting problems are related to Dyck paths, Motzkin paths and some generalizations. The methodology uses weighted
R. De Castro, A. Ramírez, J.L. Ramírez
doaj   +9 more sources

Computer Algebra in the Service of Enumerative Combinatorics [PDF]

open access: greenProceedings of the 2021 International Symposium on Symbolic and Algebraic Computation, 2021
Classifying lattice walks in restricted lattices is an important problem in enumerative combinatorics. Recently, computer algebra has been used to explore and to solve a number of difficult questions related to lattice walks.
Alin Bostan
semanticscholar   +6 more sources

Use of Enumerative Combinatorics for Proving the Applicability of an Asymptotic Stability Result on Discrete-Time SIS Epidemics in Complex Networks [PDF]

open access: greenMathematics, 2018
In this paper, we justify by the use of Enumerative Combinatorics, the applicability of an asymptotic stability result on Discrete-Time Epidemics in Complex Networks, where the complex dynamics of an epidemic model to identify the nodes that contribute ...
Carlos Rodríguez Lucatero   +1 more
doaj   +4 more sources

Enumerative Combinatorics of XX0 Heisenberg Chain [PDF]

open access: bronzeJournal of Mathematical Sciences, 2021
In the present paper, the enumeration of a certain class of directed lattice paths is based on the analysis of dynamical correlation functions of the exactly solvable XX0 model. This model is the zero anisotropy limit of one of the basic models of the theory of integrable systems, the XXZ Heisenberg magnet.
N. Bogoliubov
semanticscholar   +4 more sources

Software for enumerative and analytic combinatorics [PDF]

open access: greenarXiv, 2016
We survey some general-purpose symbolic software packages that implement algorithms from enumerative and analytic combinatorics. Software for the following areas is covered: basic combinatorial objects, symbolic combinatorics, P lya theory, combinatorial species, and asymptotics.
Andrew MacFie
arxiv   +5 more sources

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