Results 11 to 20 of about 57,263 (168)
Toward Optimality in Discrete Morse Theory [PDF]
Experimental Mathematics, 2003 Morse theory is a fundamental tool for investigating the topology of smooth manifolds. This tool has been extended to discrete structures by Forman, which allows combinatorial analysis and direct computation. This theory relies on discrete gradient vector fields, whose critical elements describe the topology of the structure.
Lewiner, Thomas +2 more
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Equivariant discrete Morse theory
Discrete Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Discrete Stratified Morse Theory
Discrete & Computational Geometry, 2022 Inspired by the works of Forman on discrete Morse theory, which is a combinatorial adaptation to cell complexes of classical Morse theory on manifolds, we introduce a discrete analogue of the stratified Morse theory of Goresky and MacPherson. We describe the basics of this theory and prove fundamental theorems relating the topology of a general ...
Kevin Knudson, Bei 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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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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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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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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