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pro vyhledávání: '"55U10, 68R05"'
Autor:
Dinur, Irit, Meshulam, Roy
We study the stability of covers of simplicial complexes. Given a map $f:Y\to X$ that satisfies almost all of the local conditions of being a cover, is it close to being a genuine cover of $X$? Complexes $X$ for which this holds are called cover-stab
Externí odkaz:
http://arxiv.org/abs/1909.08507
Autor:
Morando, Franco
The problem of decomposing non-manifold object has already been studied in solid modeling. However, the few proposed solutions are limited to the problem of decomposing solids described through their boundaries. In this thesis we study the problem of
Externí odkaz:
http://arxiv.org/abs/1904.00306
Autor:
Knill, Oliver
We prove that that the number p of positive eigenvalues of the connection Laplacian L of a finite abstract simplicial complex G matches the number b of even dimensional simplices in G and that the number n of negative eigenvalues matches the number f
Externí odkaz:
http://arxiv.org/abs/1711.09527
Autor:
Knill, Oliver
We define a ring R of geometric objects G generated by finite abstract simplicial complexes. To every G belongs Hodge Laplacian H as the square of the Dirac operator determining its cohomology and a unimodular connection matrix L). The sum of the mat
Externí odkaz:
http://arxiv.org/abs/1708.01778
Publikováno v:
Journal of Topology and Analysis 11 (2019), 661-690
For $X$ a metric space and $r>0$ a scale parameter, the Vietoris-Rips complex $VR_<(X;r)$ (resp. $VR_\leq(X;r)$) has $X$ as its vertex set, and a finite subset $\sigma\subseteq X$ as a simplex whenever the diameter of $\sigma$ is less than $r$ (resp.
Externí odkaz:
http://arxiv.org/abs/1704.04956
Publikováno v:
Adamaszek, M, Adams, H & Reddy, S 2019, ' On Vietoris–Rips complexes of ellipses ', Journal of Topology and Analysis, vol. 11, no. 3, pp. 661-690 . https://doi.org/10.1142/S1793525319500274
For (Formula presented.) a metric space and (Formula presented.) a scale parameter, the Vietoris–Rips simplicial complex (Formula presented.) (resp. (Formula presented.)) has (Formula presented.) as its vertex set, and a finite subset (Formula pres
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17bb2ad0f003f99b70a5c0bc845aaac7