Druggable chemical space and enumerative combinatorics [PDF]
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)
Melvin J. Yu
europepmc +5 more sources
Applications in Enumerative Combinatorics of Infinite Weighted Automata and Graphs [PDF]
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
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Complexity problems in enumerative combinatorics [PDF]
We give a broad survey of recent results in Enumerative Combinatorics and their complexity aspects.
Igor Pak
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Use of Enumerative Combinatorics for Proving the Applicability of an Asymptotic Stability Result on Discrete-Time SIS Epidemics in Complex Networks [PDF]
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
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Selected non-holonomic functions in lattice statistical mechanics and enumerative combinatorics [PDF]
We recall that the full susceptibility series of the Ising model, modulo powers of the prime 2, reduce to algebraic functions. We also recall the non-linear polynomial differential equation obtained by Tutte for the generating function of the q-coloured ...
Boukraa, S., Maillard, J-M.
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Enumerative geometry meets statistics, combinatorics and topology [PDF]
We explain connections among several, a priori unrelated, areas of mathematics: combinatorics, algebraic statistics, topology and enumerative algebraic geometry. Our focus is on discrete invariants, strongly related to the theory of Lorentzian polynomials. The main concept joining the mentioned fields is a linear space of matrices.
Mateusz Michałek
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Enumerative Combinatorics of XX0 Heisenberg Chain [PDF]
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. M. Bogoliubov
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Algebraic and geometric methods in enumerative combinatorics [PDF]
A survey written for the upcoming "Handbook of Enumerative Combinatorics".
Federico Ardila
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ENUMERATIVE COMBINATORICS AND CODING THEORY
The author develops a new method of investigation of combinatorial problems, introducing the value enumerator \(V_ f(T)= \sum_ p T^{f(p)}\in \mathbb{N}[T,T^{-1}]\) \((p\in \{1,-1\}^ n)\) for a certain polynomial \(f\) in \(n\) variables with non-negative integral coefficients. The coefficient of \(T^ v\) is the number of binary points \(p\) such that \(
Shalom Eliahou
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Book Review: Enumerative combinatorics, vol. I [PDF]
George E. Andrews
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