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

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

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

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...

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...

upper-triangular matrices. Topological data analysis Computational topology Carlsson, Gunnar (2009). "Topology and data". AMS Bulletin 46(2), 255–308. Kerber...

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

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

Applied and Computational Topology". Kozlov, Dmitry (2008). "Acknowledgements". Combinatorial Algebraic Topology. Algorithms and Computation in Mathematics...

Computational lithography (also known as computational scaling) is the set of mathematical and algorithmic approaches designed to improve the resolution...

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

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

In algebraic topology, simplicial homology is the sequence of homology groups of a simplicial complex. It formalizes the idea of the number of holes of...

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

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...

Combinatorial topology Computational geometry Computational topology Topological data analysis Topology Discrete mathematics Geospatial topology Herman, Gabor...

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

2D geometric modeling Architectural geometry Computational conformal geometry Computational topology Computer-aided engineering Computer-aided manufacturing...

TOPDOM. Several computational methods were developed, with a limited success, for predicting transmembrane alpha-helices and their topology. Pioneer methods...

persistent homology theory". Journal of Symbolic Computation. Algorithms and Software for Computational Topology. 78: 61–75. doi:10.1016/j.jsc.2015.11.020....

{\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...

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

similarities. Connected studies include: Applied mathematics Computational geometry Computational topology Computer vision Image processing Information visualization...

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

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...

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

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

numerical geometry Gudhi — A C++ library with Python interface for computational topology and topological data analysis Le Lisp, a portable Lisp implementation...

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

between mathematics and computation, focusing both on the search for mathematical solutions to computational problems and computational solutions to mathematical...