connectivity graph
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Connectivity (graph theory) — In mathematics and computer science, connectivity is one of the basic concepts of graph theory: it asks for the minimum number of elements (nodes or edges) which need to be removed to disconnect the remaining nodes from each other[1]. It is… … 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 partition — The graph partitioning problem in mathematics consists of dividing a graph into pieces, such that the pieces are of about the same size and there are few connections between the pieces.Consider a graph G(V,E), where V denotes the set of vertices… … Wikipedia
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
Graph isomorphism — In graph theory, an isomorphism of graphs G and H is a bijection between the vertex sets of G and H such that any two vertices u and v of G are adjacent in G if and only if ƒ(u) and ƒ(v) are adjacent in H. This kind of bijection is commonly… … Wikipedia
Graph automorphism — In graph theoretical mathematics, an automorphism of a graph is a form of symmetry in which the graph is mapped onto itself while preserving the edge vertex connectivity.Formally, an automorphism of a graph G = ( V , E ) is a permutation sigma;… … Wikipedia
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 toughness — noun (mathematics) a measure, expressed by a positive integer (with the exception of complete graphs) of the connectivity of a graph … Wiktionary
Directed graph — A directed graph. A directed graph or digraph is a pair G = (V,A) (sometimes G = (V,E)) of:[1] a set V, whose elements are called vertices or … Wikipedia
Cut (graph theory) — In graph theory, a cut is a partition of the vertices of a graph into two disjoint subsets. The cut set of the cut is the set of edges whose end points are in different subsets of the partition. Edges are said to be crossing the cut if they are… … Wikipedia
Cheeger constant (graph theory) — In mathematics, the Cheeger constant (also Cheeger number or isoperimetric number) of a graph is a numerical measure of whether or not a graph has a bottleneck . The Cheeger constant as a measure of bottleneckedness is of great interest in many… … Wikipedia