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Thus, a planar graph has genus 0, because it can be drawn on a sphere without self-crossing. The non-orientable genus of a graph is the minimal integer n such that the graph can be drawn without crossing itself on a sphere with n cross-caps (i.e. a non-orientable surface of (non-orientable) genus n). (This number is also called the demigenus.)
1.3 Curves with genus greater than one. 1.4 Curve families with variable genus. ... 25 Geometry and other areas of mathematics. 26 Glyphs and symbols. 27 Table of all ...
This is a list of Wikipedia articles about curves used in different fields: mathematics ... Bolza surface (genus 2) Klein quartic (genus 3) Bring's curve (genus 4)
The curve has genus one (genus formula); in particular, it is not isomorphic to the projective line P 1, which has genus zero. Using genus to distinguish curves is very basic: in fact, the genus is the first invariant one uses to classify curves (see also the construction of moduli of algebraic curves).
In mathematics, the arithmetic genus of an algebraic variety is one of a few possible generalizations of the genus of an algebraic curve or Riemann surface.
A cobordism (W; M, N).In mathematics, a genus of a multiplicative sequence is a ring homomorphism from the ring of smooth compact manifolds up to the equivalence of bounding a smooth manifold with boundary (i.e., up to suitable cobordism) to another ring, usually the rational numbers, having the property that they are constructed from a sequence of polynomials in characteristic classes that ...
Genus: Journal of Population Sciences, a journal of population genetics founded by Nora Federici; Genus (mathematics), a classifying property of a mathematical object Genus of a multiplicative sequence; Geometric genus; In graph embedding, the genus of the graph is the genus of the surface in which it can be embedded
In mathematics, a numerical semigroup is a special kind of a semigroup. ... The number of elements in the set of gaps G(S) is called the genus of S (or, ...