connected graph
A graph in which there is a route of edges and nodes between each two nodes.

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  • K-vertex-connected graph — In graph theory, a graph G with vertex set V(G) is said to be k vertex connected (or k connected) if G setminus X is connected for all X subseteq V(G) with left| X ight| < k. In plain English, a graph is k connected if the graph remains connected …   Wikipedia

  • K-edge-connected graph — In graph theory, a graph G with edge set E(G) is said to be k edge connected if G setminus X is connected for all X subseteq E(G) with left| X ight| < k. In plain English, a graph is k edge connected if the graph remains connected when you delete …   Wikipedia

  • Graph (mathematics) — This article is about sets of vertices connected by edges. For graphs of mathematical functions, see Graph of a function. For statistical graphs, see Chart. Further information: Graph theory A drawing of a labeled graph on 6 vertices and 7 edges …   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

  • Graph toughness — In graph theory, toughness is a measure of the connectivity of a graph. A graph G is said to be t tough if, for every k > 1, G cannot be split into k different connected components by the removal of fewer than tk vertices. For instance, a graph… …   Wikipedia

  • Graph of groups — In geometric group theory, a graph of groups is an object consisting of a collection of groups indexed by the vertices and edges of a graph, together with a family of injective homomorphisms of the edge groups into the vertex groups.There is a… …   Wikipedia

  • Connected-component labeling — (alternatively connected component analysis, blob extraction, region labeling, blob discovery, or region extraction) is an algorithmic application of graph theory, where subsets of connected components are uniquely labeled based on a given… …   Wikipedia

  • Connected Component Labeling — (alternatively connected component analysis) is an algorithmic application of graph theory, where subsets of connected components are uniquely labeled based on a given heuristic. Connected component labeling is not to be confused with… …   Wikipedia

  • Connected component — Connected components are part of topology and graph theory, two related branches of mathematics. For the graph theoretic concept, see connected component (graph theory). In topology: connected component (topology). Implementations: Connected… …   Wikipedia

  • Graph — may refer to:* A graphic (such as a chart or diagram) depicting the relationship between two or more variables used, for instance, in visualising scientific data.In mathematics:* Graph (mathematics), a set of vertices connected with edges * Graph …   Wikipedia

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