WebIs there a computationally efficient way to determine the genus (i.e. number of handles) of the surface represented by the mesh? ... algebraic-topology; algorithms; graph-theory; Share. Cite. Follow edited Nov 24, 2011 at 8:44. user17090 asked Nov 24, 2011 at 8:10. koletenbert koletenbert. 3,760 5 5 gold badges 24 24 silver badges 35 35 bronze ... WebThe classification of manifolds in various categories is a classical problem in topology. It has been widely investigated by applying techniques from geometric topology in the last century. However, the known results tell us very little information about the homotopy of manifolds. ... Title: Random multicurves on surfaces of large genus and ...
algebraic topology - Genus of a pair of pants
WebApr 7, 2024 · The moderate behaviour of the frequencies with respect to the growth rate of the number of cusps compared to that of the genus drastically contrasts with the behaviour of other geometric quantities and exhibits the topological nature of the frequencies. WebMar 24, 2024 · Genus A topologically invariant property of a surface defined as the largest number of nonintersecting simple closed curves that can be drawn on the surface without … symptoms of aspergillus
Genus (mathematics) - Wikipedia
In mathematics, genus(plural genera) has a few different, but closely related, meanings. Intuitively, the genus is the number of "holes" of a surface.[1] A spherehas genus 0, while a torushas genus 1. Topology[edit] Orientable surfaces[edit] The coffee cup and donut shown in this animation both have … See more In mathematics, genus (plural genera) has a few different, but closely related, meanings. Intuitively, the genus is the number of "holes" of a surface. A sphere has genus 0, while a torus has genus 1. See more Orientable surfaces The genus of a connected, orientable surface is an integer representing the maximum number of cuttings along non-intersecting closed simple curves without rendering the resultant manifold disconnected. It is … See more • Group (mathematics) • Arithmetic genus • Geometric genus • Genus of a multiplicative sequence • Genus of a quadratic form See more There are two related definitions of genus of any projective algebraic scheme X: the arithmetic genus and the geometric genus. When X is an See more Genus can be also calculated for the graph spanned by the net of chemical interactions in nucleic acids or proteins. In particular, one may study the growth of the genus along the chain. Such a function (called the genus trace) shows the topological … See more WebMar 23, 2024 · Noun [ edit] genus ( plural genera or (both nonstandard) genuses or genusses ) ( biology, taxonomy) A category in the classification of organisms, ranking … WebNov 28, 2015 · In the topological world, a torus is a two-dimensional space, or surface, with one hole. (To be a bit fancier, it is an orientable surface of genus one .) Topologists, eager to associate ... thai express nutrition info