Results 21 to 30 of about 6,044,782 (145)
Adaptive Discrete Vector Field in Sensor Networks
Sensors, 2018 Homology groups are a prime tool for measuring the connectivity of a network, and their computation in a distributed and adaptive way is mandatory for their use in sensor networks.
Mengyi Zhang, Alban Goupil
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Decidability of the isomorphism and the factorization between minimal substitution subshifts
Discrete Analysis, 2022 Decidability of the isomorphism and the factorization between minimal substitution subshifts, Discrete Analysis 2022:7, 65 pp. Symbolic dynamics is the study of topological dynamical systems $(X,S)$ where $X$ is a shift-invariant space of singly or ...
Fabien Durand, Julien Leroy
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Discrete Stratified Morse Theory: A User's Guide [PDF]
, 2018 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
Wang, Bei, Knudson, Kevin
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Automatic Detection of Cross-Shaped Targets for Laser Scan Registration
IEEE Access, 2018 Laser scan registration estimates a relative transformation to match one scan with another, based on the shape of the overlapping portions of the scans. The core and challenging problem of scan registration in a large-scale scene is, how to detect public
Cheng Yi +6 more
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Existence of acyclic matching and Morse complex on transitive digraphs
AKCE International Journal of Graphs and CombinatoricsFor any digraph, there exists a transitive closure. The transitive digraph is a discrete geometric object which has a close relationship with simplicial complex.
Chong Wang, Shiquan Ren
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Estimate of Number of Periodic Solutions of Second-Order Asymptotically Linear Difference System
Abstract and Applied Analysis, 2013 We investigate the number of periodic solutions of second-order asymptotically linear difference system. The main tools are Morse theory and twist number, and the discussion in this paper is divided into three cases. As the system is resonant at infinity,
Honghua Bin, Zhenkun Huang
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Existence and Multiplicity of Solutions to Discrete Conjugate Boundary Value Problems
Discrete Dynamics in Nature and Society, 2010 We consider the existence and multiplicity of solutions to discrete conjugate boundary value problems. A generalized asymptotically linear condition on the nonlinearity is proposed, which includes the asymptotically linear as a special case.
Bo Zheng
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, 2019 Discrete Morse theory is a powerful tool combining ideas in both topology and combinatorics. Invented by Robin Forman in the mid 1990s, discrete Morse theory is a combinatorial analogue of Marston Morse\u27s classical Morse theory.
Scoville, Nicholas A, Nicholas Scoville
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Topological data analysis with Bregman divergences
Journal of Computational Geometry, 2019 We show that the framework of topological data analysis can be extended from metrics to Bregman divergences, widening the scope of possible applications. Examples are the Kullback-Leibler divergence, which is commonly used for comparing text and images,
Herbert Edelsbrunner, Hubert Wagner
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Discrete Morse Theory on Join of Digraphs
, 2022 For given two digraphs, we can construct a larger digraph through join. The two digraphs that make up the join are called the factors of the join. In this paper, we give a necessary and sufficient condition that the function on the join determined by the
Suqian ZHAO, Chong WANG, Shuwen CUI
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