knot graph

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• Knot theory — A three dimensional depiction of a thickened trefoil knot, the simplest non trivial knot …   Wikipedia

• knot — Node Node (n[=o]d), n. [L. nodus; perh. akin to E. knot. Cf. {Noose}, {Nowed}.] 1. A knot, a knob; a protuberance; a swelling. [1913 Webster] 2. Specifically: (a) (Astron.) One of the two points where the orbit of a planet, or comet, intersects… …   The Collaborative International Dictionary of English

• Graph theory — In mathematics and computer science, graph theory is the study of graphs : mathematical structures used to model pairwise relations between objects from a certain collection. A graph in this context refers to a collection of vertices or nodes and …   Wikipedia

• Glossary of graph theory — Graph theory is a growing area in mathematical research, and has a large specialized vocabulary. Some authors use the same word with different meanings. Some authors use different words to mean the same thing. This page attempts to keep up with… …   Wikipedia

• Alternating knot — In knot theory, a link diagram is alternating if the crossings alternate under, over, under, over, as you travel along each component of the link. A link is alternating if it has an alternating diagram.Many of the knots with crossing number less… …   Wikipedia

• Invertible knot — In mathematics, especially in the area of topology known as knot theory, an invertible knot is a knot that can be continuously deformed to itself, but with its orientation reversed. A non invertible knot is any knot which does not have this… …   Wikipedia

• Signed graph — In the area of graph theory in mathematics, a signed graph is a graph in which each edge has a positive or negative sign.Formally, a signed graph Sigma; is a pair ( G , sigma;) that consists of a graph G = ( V , E ) and a sign mapping or… …   Wikipedia

• Virtual knot — In knot theory, a virtual knot is a generalization of the classical idea of knots in several ways which are all equivalent.*In the theory of classical knots, knots can be considered equivalence classes of knot diagrams under the Reidemeister… …   Wikipedia

• Arf invariant (knot) — In the mathematical field of knot theory, the Arf invariant of a knot, named after Cahit Arf, is a knot invariant obtained from a quadratic form associated to a Seifert surface. If F is a Seifert surface of a knot, then the homology group H1( F …   Wikipedia

• Algebraic graph theory — is a branch of mathematics in which algebraic methods are applied to problems about graphs. In one sense, algebraic graph theory studies graphs in connection with linear algebra. Especially, it studies the spectrum of the adjacency matrix, the… …   Wikipedia

• Knots and graphs — Knots and graph theory are related in some simple ways. The triangle is associated with the trefoil knot. Contents 1 Knot diagram …   Wikipedia