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closed graph

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  • Closed graph theorem — In mathematics, the closed graph theorem is a basic result in functional analysis which characterizes continuous linear operators between Banach spaces in terms of the operator graph. Contents 1 The closed graph theorem 2 Generalization 3 See… …   Wikipedia

  • Closed operator — In mathematics, specifically in functional analysis, closed linear operators are an important class of linear operators on Banach spaces. They are more general than bounded operators, and therefore not necessarily continuous, but they still… …   Wikipedia

  • Graph of a function — In mathematics, the graph of a function f is the collection of all ordered pairs ( x , f ( x )). In particular, if x is a real number, graph means the graphical representation of this collection, in the form of a curve on a Cartesian plane,… …   Wikipedia

  • Graph property — In graph theory a graph property is any inherently graph theoretical property of graphs (formal definitions follow), distinguished from properties of graphs described in terms of various graph representations: graph drawings, data structures for… …   Wikipedia

  • Graph embedding — In topological graph theory, an embedding of a graph G on a surface Sigma; is a representation of G on Sigma; in which points of Sigma; are associated to vertices and simple arcs (homeomorphic images of [0,1] ) are associated to edges in such a… …   Wikipedia

  • Graph coloring — A proper vertex coloring of the Petersen graph with 3 colors, the minimum number possible. In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called colors to elements of a graph… …   Wikipedia

  • graph theory — Math. the branch of mathematics dealing with linear graphs. [1965 70] * * * Mathematical theory of networks. A graph consists of nodes (also called points or vertices) and edges (lines) connecting certain pairs of nodes. An edge that connects a… …   Universalium

  • Closed timelike curve — In mathematical physics, a closed timelike curve (CTC) is a worldline in a Lorentzian manifold, of a material particle in spacetime that is closed, returning to its starting point. This possibility was first raised by Kurt Gödel in 1949, who… …   Wikipedia

  • closed — /klohzd/, adj. 1. having or forming a boundary or barrier: He was blocked by a closed door. The house had a closed porch. 2. brought to a close; concluded: It was a closed incident with no repercussions. 3. not public; restricted; exclusive: a… …   Universalium

  • closed — [[t]kloʊzd[/t]] adj. 1) having or forming a boundary or barrier: a closed door[/ex] 2) brought to a close; concluded: a closed incident[/ex] 3) not public; restricted; exclusive: a closed meeting[/ex] 4) not open to new ideas or arguments 5) self …   From formal English to slang

  • Minor (graph theory) — In graph theory, an undirected graph H is called a minor of the graph G if H is isomorphic to a graph that can be obtained by zero or more edge contractions on a subgraph of G. The theory of graph minors began with Wagner s theorem that a graph… …   Wikipedia

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