Results 11 to 20 of about 307,157 (265)
Generalized Homology Groups [PDF]
Proceedings of the National Academy of Sciences, 1940 Not ...
Mayer, W., Campbell, A. D.
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Homology of gaussian groups [PDF]
Annales de l'Institut Fourier, 2003 We describe new combinatorial methods for constructing explicit free resolutions of ℤ by ℤ G -
Dehornoy, Patrick, Lafont, Yves
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Persistent homology of groups [PDF]
Journal of Group Theory, 2011 We introduce and investigate notions of persistent homology for p-groups and for coclass trees of p-groups. Using computer techniques we show that persistent homology provides fairly strong homological invariants for p-groups of order at most 81. The strength of these invariants, and some elementary theoretical properties, suggest that persistent ...
Ellis, Graham, King, Simon
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Computation of Homology Groups and Generators [PDF]
Computers & Graphics, 2005 Topological invariants are extremely useful in many applications related to digital imaging and geometric modeling, and homology is a classical one, which has not yet been fully explored in image applications. We present an algorithm that computes the whole homology of an object of arbitrary dimension: Betti numbers, torsion coefficients and generators.
Peltier, Samuel +3 more
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Homology in Varieties of Groups. III [PDF]
Transactions of the American Mathematical Society, 1971 The study of (co-) homology groups Z,3(HX A), SnI3(H, A), 3 a variety, 11 a group in 3, and A a suitable 11-module, is pursued. They are compared with a certain Tor and Ext. The definition of the homology of an epimorphism due to Rinehart is shown to agree with that due to Barr and Beck (whenever both are defined).
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Path homology theory of edge-colored graphs
Open Mathematics, 2021 In this paper, we introduce the category and the homotopy category of edge-colored digraphs and construct the functorial homology theory on the foundation of the path homology theory provided by Grigoryan, Muranov, and Shing-Tung Yau.
Muranov Yuri V., Szczepkowska Anna
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On the use of algebraic topology concepts to check the consistency of genome assembly
Biophysics and Physicobiology, 2019 This paper presents a preliminary work consisting of two contributions. The first one is the design of a very efficient algorithm based on an “Overlap-Layout-Consensus” (OLC) graph to assemble the long reads provided by 3rd generation technologies.
Jean-François Gibrat
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Homology groups and decomposition of the game complex [PDF]
AUT Journal of Mathematics and ComputingIn this paper, we introduce a novel simplicial complex named Game Complex for finite non-cooperative games in the strategic form. We prove that the number of Nash equilibrium in non-cooperative games with more than two players is the rank of the first ...
Neda Shojaee, Aidin Fallah
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Pyrimidine Biosynthesis and Ribonucleoside Metabolism in Species of Pseudomonas
Fermentation, 2023 Pyrimidine biosynthesis and ribonucleoside metabolism in species of Pseudomonas was the focus of this review, in relation to their current taxonomic assignments in different homology groups.
Thomas P. West
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Trees, fundamental groups and homology groups
Annals of Pure and Applied Logic, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Katsuya Eda, Masasi Higasikawa
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