The simplicial complex recognition problem is a computational problem in algebraic topology. Given a simplicial complex, the problem is to decide whether...
4 KB (501 words) - 16:59, 29 January 2024
counterpart to a simplicial complex is an abstract simplicial complex. To distinguish a simplicial complex from an abstract simplicial complex, the former...
11 KB (1,724 words) - 12:40, 5 June 2024
In combinatorics, an abstract simplicial complex (ASC), often called an abstract complex or just a complex, is a family of sets that is closed under taking...
17 KB (2,486 words) - 07:30, 29 May 2024
simplicial convex polytopes in arbitrary dimensions. Many classes of digraphs are also GI-complete. There are other nontrivial GI-complete problems in...
39 KB (4,082 words) - 06:01, 18 June 2024
Mathematical optimization (redirect from Numerical optimization problem)
algorithms Hill climbing with random restart Memetic algorithm Nelder–Mead simplicial heuristic: A popular heuristic for approximate minimization (without calling...
51 KB (5,907 words) - 14:33, 24 June 2024
simplicial complex to a much smaller cellular complex which is homotopic to the original one. This reduction can in fact be performed as the complex is...
89 KB (11,259 words) - 01:56, 22 June 2024
related concept in polyhedra Link (simplicial complex), a generalization of the neighborhood to simplicial complexes Hell 1978, Sedláček 1983 Wigderson...
10 KB (1,122 words) - 08:52, 18 August 2023
triangulations (simplicial complexes) are equivalent (homeomorphic) is elementary recursive. This generalizes the result on 3-sphere recognition. SnapPea implements...
15 KB (1,591 words) - 01:16, 19 June 2024
Johnson graph (section Open problems)
Rabinovich, Yuri (2015), On Connectivity of the Facet Graphs of Simplicial Complexes, arXiv:1502.02232, Bibcode:2015arXiv150202232N. Rispoli, Fred J....
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(analytic number theory) Silverman–Toeplitz theorem (mathematical analysis) Simplicial approximation theorem (algebraic topology) Sinkhorn's theorem (matrix...
72 KB (5,996 words) - 03:48, 5 July 2024