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Design and optimization of graded lattice structures with load path-oriented reinforcement
Materials & Design, 2023 Lattice structures have been increasingly used in load-carrying applications due to their exceptional mechanical performance. This study presents a novel load path methodology for designing and optimizing functionally graded lattice structures composed ...
Shengjie Zhao +4 more
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Congruence for Lattice Path Models with Filter Restrictions and Long Steps
Mathematics, 2022 We derive a path counting formula for a two-dimensional lattice path model with filter restrictions in the presence of long steps, source and target points of which are situated near the filters. This solves the problem of finding an explicit formula for
Dmitry Solovyev
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Combinatorial Generation Algorithms for Some Lattice Paths Using the Method Based on AND/OR Trees
Algorithms, 2023 Methods of combinatorial generation make it possible to develop algorithms for generating objects from a set of discrete structures with given parameters and properties.
Yuriy Shablya
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Counting Lattice Paths by Using Difference Equations with Non-constant Coefficients
Известия Иркутского государственного университета: Серия "Математика", 2023 The lattice paths can be counted by the virtue of their step vectors that are aligned to the positive octant. A path can go from one point to an infinite others if there is no restriction applied such that each point only has finitely many predecessors ...
S. Chandragiri
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Analytic Combinatorics of Lattice Paths: Enumeration and Asymptotics for the Area [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 This paper tackles the enumeration and asymptotics of the area below directed lattice paths (walks on $\mathbb{N}$ with a finite set of jumps). It is a nice surprise (obtained via the "kernel method'') that the generating functions of the moments of the ...
Cyril Banderier, Bernhard Gittenberger
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4-Dimensional Lattice Path Enumeration with Arbitrary Steps
Indonesian Journal of Combinatorics, 2023 Consider a set of vectors, L, which consists of vectors whose coordinates are 0 or 1. We find explicit formulas that counts the number of lattice paths from origin to (a,b,c,d) for using vectors in {(1,0,0,0),(0,1,0,0),(0,0,1,0),(0,0,0,1)} ∪ L for ...
Alper Vural, Cemil Karaçam
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Bijections for lattice paths between two boundaries [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We prove that on the set of lattice paths with steps $N=(0,1)$ and $E=(1,0)$ that lie between two boundaries $B$ and $T$, the two statistics `number of $E$ steps shared with $B$' and `number of $E$ steps shared with $T$' have a symmetric joint ...
Sergi Elizalde, Martin Rubey
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Topological Valley Transport of Elastic Waves Based on Periodic Triangular-Lattices
Crystals, 2022 Topological transports of elastic waves have attracted much attention because of their unique immunity to defects and backscattering-suppression ability.
Zehuan Tang +9 more
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A Discrete-Time Approach to Evaluate Path-Dependent Derivatives in a Regime-Switching Risk Model
Risks, 2020 This paper provides a discrete-time approach for evaluating financial and actuarial products characterized by path-dependent features in a regime-switching risk model.
Emilio Russo
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IEEE Access, 2020 This paper proposes a new active noise control (ANC) system based on a recursive least-squares lattice (RLSL) algorithm by designing secondary-path innovation (SPI) and lattice-order decision (LOD) algorithms.
Dong Woo Kim, Poogyeon Park
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