Algorithmic topology, or computational topology, is a subfield of topology with an overlap with areas of computer science, in particular, computational geometry...

to be confused with algorithmic or computational topology, which studies the application of computation to topology. As shown by Alan Turing and Alonzo...

geometry Computational group theory Computational geometry Computational number theory Computational topology Computational statistics Algorithmic information...

conjecture for large classes of groups. Carlsson has worked in computational topology, especially as it applies to the analysis of high dimensional and...

study of computational geometric algorithms, and such problems are also considered to be part of computational geometry. While modern computational geometry...

dynamics Topological entropy Topological mixing Computational topology Digital topology Network topology Topological computing Topological Quantum Computing...

Combinatorial topology Computational geometry Computational topology Topological data analysis Topology Discrete mathematics Geospatial topology Chen, Li;...

Edelsbrunner and Harer's book gives general guidance on computational topology. One issue that arises in computation is the choice of complex. The Čech complex and...

In computational complexity, problems that are in the complexity class NP but are neither in the class P nor NP-complete are called NP-intermediate, and...

Čech cohomology Computational geometry Simplicial complex Simplicial homology Ghrist, Robert W. (2014). Elementary applied topology (1st ed.). [United...

Geometric and Topological Inference is a monograph in computational geometry, computational topology, geometry processing, and topological data analysis...

{\displaystyle Q} is a facet or primary face of P {\displaystyle P} . In algebraic topology, cubical complexes are often useful for concrete calculations. In particular...

The region connection calculus (RCC) is intended to serve for qualitative spatial representation and reasoning. RCC abstractly describes regions (in Euclidean...

manifolds, spectral geometry, dynamical systems), and applied topology (including computational topology). Burghelea was born in Râmnicu Vâlcea, Romania, in 1943...

2012-04-26. "the Topology ToolKit". GitHub.io. Mischaikow, Konstantin; Nanda, Vidit (2013). "Morse Theory for Filtrations and Efficient computation of Persistent...

offset filtration has become a primary example in the study of computational topology and data analysis. Let X {\displaystyle X} be a finite set in a...

NP-hard. It has been argued that the UGC is essentially a question of computational topology, involving local-global principles (the latter are also evident...

captures all the topological information in a filtration. In algebraic topology, the persistence barcodes were first introduced by Sergey Barannikov in...

mathematician and computer scientist specializing in computational geometry and computational topology. He is a professor at Purdue University. Dey graduated...

location missing publisher (link) Moraleda, Rodrigo Rojas (2020). Computational topology for biomedical image and data analysis : theory and applications...

persistence intervals of a finite filtration. Computational topology Carlsson, Gunnar (2009). "Topology and data". Bulletin of the American Mathematical...

https://doi.org/10.1093/mnras/stw2862 Edelsbrunner, Herbert (2010). Computational topology : an introduction. J. Harer. Providence, R.I.: American Mathematical...

computations. Computational statistics Computational synthetic geometry Computational topology Computer algebra see symbolic computation Conformal geometry...

In topology, a branch of mathematics, a collapse reduces a simplicial complex (or more generally, a CW complex) to a homotopy-equivalent subcomplex. Collapses...

NeuroEvolution of Augmenting Topologies (NEAT) is a genetic algorithm (GA) for generating evolving artificial neural networks (a neuroevolution technique)...

Euler calculus is a methodology from applied algebraic topology and integral geometry that integrates constructible functions and more recently definable...

List of numerical computational geometry topics enumerates the topics of computational geometry that deals with geometric objects as continuous entities...

integer lattices and cubical complexes". Journal of Applied and Computational Topology. 5 (3): 425–458. doi:10.1007/s41468-021-00072-4. ISSN 2367-1734...

Topology optimization is a mathematical method that optimizes material layout within a given design space, for a given set of loads, boundary conditions...

ISBN 9781605580715. S2CID 1020710. Ghrist, Robert (2007). "Barcodes: The persistent topology of data". Bulletin of the American Mathematical Society. 45: 61–76. doi:10...