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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Topology of matching complexes of complete graphs via discrete Morse theory [PDF]
Discrete Mathematics & Theoretical Computer ScienceBouc (1992) first studied the topological properties of $M_n$, the matching complex of the complete graph of order $n$, in connection with Brown complexes and Quillen complexes. Bj\"{o}rner et al. (1994) showed that $M_n$ is homotopically $(\nu_n-1)$
Anupam Mondal +2 more
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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 Morse theory for weighted simplicial complexes [PDF]
Topology and its Applications, 2020 19 pages, to appear in Topology and its ...
Wu, Chengyuan +3 more
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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 πΎ1/2, we consider the existence and multiplicity results of solutions to the following discrete nonlinear two-point boundary value problem βΞ2π₯(πβ1)=π(π,π₯(π)),πββ€(1,π) subject to π₯(0)=
Jianmin Guo, Caixia Guo
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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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The minimal cellular resolutions of the edge ideals of forests [PDF]
, 2019 We present an explicit construction of a minimal cellular resolution for the edge ideals of forests, based on discrete Morse theory. In particular, the generators of the free modules are subsets of the generators of the modules in the Lyubeznik ...
Barile, Margherita, Macchia, Antonio
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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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Membrane parallelism for discrete Morse theory applied to digital images [PDF]
, 2015 In this paper, we propose a bio-inspired membrane computational framework for constructing discrete Morse complexes for binary digital images. Our approach is based on the discrete Morse theory and we work with cubical complexes.
Berciano Alcaraz, Ainhoa +3 more
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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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