Results 41 to 50 of about 57,386 (206)
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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Graph 4-braid groups and Massey products [PDF]
, 2014 We first show that the braid group over a graph topologically containing no $\Theta$-shape subgraph has a presentation related only by commutators. Then using discrete Morse theory and triple Massey products, we prove that a graph topologically contains ...
Hyo +3 more
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Discrete microlocal Morse theory
Journal of Pure and Applied AlgebraWe establish several results combining discrete Morse theory and microlocal sheaf theory in the setting of finite posets and simplicial complexes. Our primary tool is a computationally tractable description of the bounded derived category of sheaves on a poset with the Alexandrov topology. We prove that each bounded complex of sheaves on a finite poset
Adam Brown, Ondřej Draganov
openaire +2 more sources
Discrete Morse functions for graph configuration spaces
, 2012 We present an alternative application of discrete Morse theory for two-particle graph configuration spaces. In contrast to previous constructions, which are based on discrete Morse vector fields, our approach is through Morse functions, which have a nice
A Sawicki +10 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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, 2011 We show how to construct homology bases for certain CW complexes in terms of discrete Morse theory and cellular homology. We apply this technique to study certain subcomplexes of the half cube polytope studied in previous works.
Bruggesser +6 more
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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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The Morse theory of \v{C}ech and Delaunay complexes
, 2016 Given a finite set of points in $\mathbb R^n$ and a radius parameter, we study the \v{C}ech, Delaunay-\v{C}ech, Delaunay (or Alpha), and Wrap complexes in the light of generalized discrete Morse theory. Establishing the \v{C}ech and Delaunay complexes as
Bauer, Ulrich, Edelsbrunner, Herbert
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Angewandte Chemie, Volume 138, Issue 1, 2 January 2026.Discrete porous metal–organic cages provide a platform to extend porosity beyond crystalline solids. Their peripheral functionality governs inter‐cage interactions and physical state, enabling preservation of intrinsic porosity across liquids, glasses, and rubbers.
Francisco Sánchez‐Férez +2 more
wiley +2 more sources