Computational topology

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

A primary concern of algorithmic topology, as its name suggests, is to develop efficient algorithms for solving problems that arise naturally in fields such as computational geometry, graphics, robotics, social science, structural biology, and chemistry, using methods from computable topology.^[1]^[2]^[3]

^ Afra J. Zomorodian, Topology for Computing, Cambridge, 2005, xi
^ Blevins, Ann Sizemore; Bassett, Danielle S. (2020), Sriraman, Bharath (ed.), "Topology in Biology", Handbook of the Mathematics of the Arts and Sciences, Cham: Springer International Publishing, pp. 1–23, doi:10.1007/978-3-319-70658-0_87-1, ISBN 978-3-319-70658-0, S2CID 226695484
^ Chiou, Lyndie (26 March 2024). "Topologists Tackle the Trouble With Poll Placement". Quanta Magazine. Retrieved 1 April 2024.