Results 71 to 80 of about 1,401 (157)
Discrete Morse theory and localization [PDF]
Journal of Pure and Applied Algebra, 2019 30 pages, 6 figures.
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Discrete Morse theory for the collapsibility of supremum sections
CoRR, 2018 The Dushnik-Miller dimension of a poset $\le$ is the minimal number $d$ of linear extensions $\le_1, \ldots , \le_d$ of $\le$ such that $\le$ is the intersection of $\le_1, \ldots , \le_d$. Supremum sections are simplicial complexes introduced by Scarf and are linked to the Dushnik-Miller as follows: the inclusion poset of a simplicial complex is of ...
Bauer, Balthazar, Isenmann, Lucas
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Discrete Morse Theory Algorithms
, 2017 Discrete Morse Theory (DMT) is the discrete version of Morse Theory and has been introduced by Robin Forman. Discrete Morse Theory provides a powerful tool for the analysis of topological spaces. The main focus of DMT, like its predecessor Morse theory, is based on finding critical points and constructing a simpler topological space which is homotopy ...
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An Introduction to Discrete Morse Theory
, 2022 Vi presenterer en introduksjon til diskret Morse teori, hvor vi starter med å definere simplisialkomplekser og fortsetter med diskrete Morse-funksjoner og induserte gradientvektorfelt. Vi lærer hvordan vi lager den ene fra den andre og hvordan de hjelper oss å lære om simplisiell homologi og å sammenligne forskjellige simplisialkomplekser.
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Persistent homology of unweighted complex networks via discrete Morse theory. [PDF]
Sci Rep, 2019 Kannan H, Saucan E, Roy I, Samal A.
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Connectedness in Discrete Morse Theory
Connectedness in Discrete Morse Theory早大学位記番号 ...
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Proceedings of the Royal Society of Edinburgh: Section A MathematicsThe purpose of this work is to develop a version of Forman’s discrete Morse theory for simplicial complexes, based on internal strong collapses . Classical discrete Morse theory can be viewed as a generalization of Whitehead’s collapses, where each Morse function on a simplicial complex
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