Results 11 to 20 of about 162,256 (241)
Enumerative Combinatorics of Lattice Polymers
Notices of the American Mathematical Society, 2021 DOI: https://doi.org/10.1090/noti2255 physicists who appreciatemathematical beauty), the physicallymotivatedmodels aremathematically appealing, and have rich combinatorial structure. The third reason is that it is just a really fun research topic.
Nathan Clisby
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Enumerative Combinatorics [PDF]
Oberwolfach 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
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Applications in Enumerative Combinatorics of In finite Weighted Automata and Graphs [PDF]
Scientific 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
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Enumerative Combinatorics of Intervals in the Dyck Pattern Poset [PDF]
Order, 2021 We 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.
Antonio Bernini +3 more
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Computer Algebra in the Service of Enumerative Combinatorics
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
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Selected non-holonomic functions in lattice statistical mechanics and enumerative combinatorics [PDF]
, 2015 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]
Notices of the American Mathematical Society, 2023 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.
M. Michałek
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Enumerative Combinatorics of Simplicial and Cell Complexes: Kirchhoff and Trent Type Theorems [PDF]
Discrete & Computational Geometry, 2018 This paper considers three separate matrices associated to graphs and (each dimension of) cell complexes. It relates all the coefficients of their respective characteristic polynomials to the geometric and combinatorial enumeration of three kinds of sub ...
Sylvain E. Cappell, Edward Y. Miller
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Enumerative and Algebraic Combinatorics in the 1960's and 1970's [PDF]
Notices 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.
Richard P. Stanley
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An Invitation to Ehrhart Theory: Polyhedral Geometry and its Applications in Enumerative Combinatorics [PDF]
Computer Algebra and Polynomials, 2014 In this expository article we give an introduction to Ehrhart theory, i.e., the theory of integer points in polyhedra, and take a tour through its applications in enumerative combinatorics.
Felix Breuer
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