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pro vyhledávání: '"Abstract simplicial complex"'
Akademický článek
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Publikováno v:
Mathematics, Vol 9, Iss 19, p 2358 (2021)
We describe and implement a randomized algorithm that inputs a polyhedron, thought of as the space of states of some automated guided vehicle R, and outputs an explicit system of piecewise linear motion planners for R. The algorithm is designed in su
Externí odkaz:
https://doaj.org/article/cd80d354712544c78def584a772b5240
Publikováno v:
Fuzzy Sets and Systems. 443:127-136
Our aim is to obtain a suitable characterization of certain topological properties of a random closed set through its capacity functional. The main technique mixes two different fields: on the one hand, the abstract simplicial complex associated to a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0472b76c9d67edd7cad4259a3066370b
https://doi.org/10.1016/j.fss.2021.09.024
https://doi.org/10.1016/j.fss.2021.09.024
Publikováno v:
Mathematics, Vol 9, Iss 2358, p 2358 (2021)
Mathematics; Volume 9; Issue 19; Pages: 2358
Mathematics; Volume 9; Issue 19; Pages: 2358
We describe and implement a randomized algorithm that inputs a polyhedron, thought of as the space of states of some automated guided vehicle $\mathcal{R}$, and outputs an explicit system of piecewise linear motion planners for $\mathcal{R}$. The alg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c2a4fc3904ee087ac8da9fec380dd054
https://www.mdpi.com/2227-7390/9/19/2358
https://www.mdpi.com/2227-7390/9/19/2358
Akademický článek
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Autor:
Junyao Peng, Yibo Gao
Publikováno v:
Journal of Algebraic Combinatorics. 54:17-37
A shelling of a graph, viewed as an abstract simplicial complex that is pure of dimension 1, is an ordering of its edges such that every edge is adjacent to some other edges appeared previously. In this paper, we focus on complete bipartite graphs an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6718bef3e09490519064b6742e9abc89
https://doi.org/10.1007/s10801-020-00965-0
https://doi.org/10.1007/s10801-020-00965-0
Autor:
Jason McCullough, Heather Newman
Publikováno v:
Journal of Algebra Combinatorics Discrete Structures and Applications, Vol 6, Iss 3 (2019)
Let $\Delta$ be an abstract simplicial complex. We study classical homological error correcting codes associated to $\Delta$, which generalize the cycle codes of simple graphs. It is well-known that cycle codes of graphs do not yield asymptotically g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84e97993db0e3513104565e525bd3f18
https://doi.org/10.13069/jacodesmath.617235
https://doi.org/10.13069/jacodesmath.617235
Autor:
Marcin Kisielowski
Publikováno v:
Annales Henri Poincaré. 20:1403-1437
In Regge calculus, the space–time manifold is approximated by certain abstract simplicial complex, called a pseudomanifold, and the metric is approximated by an assignment of a length to each 1-simplex. In this paper for each pseudomanifold, we con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::76047d36529ae3c57556170a26eca682
https://doi.org/10.1007/s00023-018-0747-6
https://doi.org/10.1007/s00023-018-0747-6
Autor:
Tilak de Alwis
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 23, Iss 3, Pp 211-216 (2000)
Consider the general n-gon with vertices at the points 1,2,…,n. Then its suspension involves two more vertices, say at n+1 and n+2. Let R be the polynomial ring k[x1,x2,…,xn], where k is any field. Then we can associate an ideal I to our suspensi
Externí odkaz:
https://doaj.org/article/fb8d403d28e041b7b247244f9ae5c48f
A long-standing conjecture of Stanley states that every Cohen-Macaulay simplicial complex is partitionable. We disprove the conjecture by constructing an explicit counterexample. Due to a result of Herzog, Jahan and Yassemi, our construction also dis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e88e9ed56ed8752c5c52d05cc4a41a0c
https://doi.org/10.46298/dmtcs.6325
https://doi.org/10.46298/dmtcs.6325
