Results 11 to 20 of about 1,393 (155)
Boundary Value Problem for a Second-Order Difference Equation with Resonance
Complexity, 2020 In this paper, we study the existence and multiplicity of nontrivial solutions of a second-order discrete boundary value problem with resonance and sublinear or superlinear nonlinearity.
Zhenguo Wang, Zhan Zhou
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Negative $q$-Stirling numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The notion of the negative $q$-binomial was recently introduced by Fu, Reiner, Stanton and Thiem. Mirroring the negative $q$-binomial, we show the classical $q$ -Stirling numbers of the second kind can be expressed as a pair of statistics on a subset of ...
Yue Cai, Margaret Readdy
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Line Structure Extraction from LiDAR Point Cloud Based on the Persistence of Tensor Feature
Applied Sciences, 2022 The LiDAR point cloud has been widely used in scenarios of automatic driving, object recognition, structure reconstruction, etc., while it remains a challenging problem in line structure extraction, due to the noise and accuracy, especially in data ...
Xuan Wang +3 more
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A Generalized Discrete Morse–Floer Theory [PDF]
Communications in Mathematics and Statistics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jürgen Jost, Sylvia Yaptieu
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Graph skeletonization of high-dimensional point cloud data via topological method
Journal of Computational Geometry, 2022 Geometric graphs form an important family of hidden structures behind data. In this paper, we develop an efficient and robust algorithm to infer a graph skeleton of a high-dimensional point cloud dataset (PCD).
Lucas Magee, Yusu Wang
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International Journal of Applied Earth Observations and Geoinformation, 2023 Terrestrial laser scanning (TLS) is a ground-based approach to rapidly acquire 3D point clouds via Light Detection and Ranging (LiDAR) technologies. Quantifying tree-scale structure from TLS point clouds requires segmentation, yet there is a lack of ...
Xin Xu +4 more
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Research on P System with Chain Structure and Application and Simulation in Arithmetic Operation
Discrete Dynamics in Nature and Society, 2015 Considering the advantages of distribution and maximum parallelism of membrane computing and availability of discrete Morse theory to deal with discrete structure, in this paper, combining discrete Morse theory and membrane computing, a novel membrane ...
Jing Luan, Zhong Yao
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The $q=-1$ phenomenon for bounded (plane) partitions via homology concentration [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Algebraic complexes whose "faces'' are indexed by partitions and plane partitions are introduced, and their homology is proven to be concentrated in even dimensions with homology basis indexed by fixed points of an involution, thereby explaining ...
P. Hersh, J. Shareshian, D. Stanton
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The Möbius function of generalized subword order [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 Let $P$ be a poset and let $P^*$ be the set of all finite length words over $P$. Generalized subword order is the partial order on $P^*$ obtained by letting $u≤ w$ if and only if there is a subword $u'$ of $w$ having the same length as $u$ such that ...
Peter R. W. McNamara, Bruce E. Sagan
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Existence and Multiplicity of Solutions for Discrete Nonlinear Two-Point Boundary Value Problems
Discrete Dynamics in Nature and Society, 2011 By using Morse theory, the critical point theory, and the character of 𝐾1/2, we consider the existence and multiplicity results of solutions to the following discrete nonlinear two-point boundary value problem −Δ2𝑥(𝑘−1)=𝑓(𝑘,𝑥(𝑘)),𝑘∈ℤ(1,𝑇) subject to 𝑥(0)=
Jianmin Guo, Caixia Guo
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