vertex-transitive graph

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• Vertex-transitive graph — In mathematics, a vertex transitive graph is a graph G such that, given any two vertices v1 and v2 of G , there is some automorphism : f : V(G) → V(G) such that : f (v1) = v2. In other words, a graph is vertex transitive if its automorphism group …   Wikipedia

• Edge-transitive graph — In mathematics, an edge transitive graph is a graph G such that, given any two edges e 1 and e 2 of G , there is an automorphism of G that maps e 1 to e 2.In other words, a graph is edge transitive if its automorphism group acts transitively upon …   Wikipedia

• Distance-transitive graph — The Biggs Smith graph, the largest 3 regular distance transitive graph. Graph families defined by their automorphisms distance transitive …   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 (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

• Vertex (graph theory) — For other uses, see Vertex (disambiguation). A graph with 6 vertices and 7 edges where the vertex number 6 on the far left is a leaf vertex or a pendant vertex In graph theory, a vertex (plural vertices) or node is the fundamental unit out of… …   Wikipedia

• Petersen graph — Infobox graph name = Petersen graph image caption = The Petersen graph is most commonly drawn as a pentagon with a pentagram inside, with five spokes. namesake = Julius Petersen vertices = 10 edges = 15 radius = 2 diameter = 2 girth = 5 chromatic …   Wikipedia

• Cayley graph — In mathematics, the Cayley graph, also known as the Cayley colour graph, is the graph that encodes the structure of a discrete group. Its definition is suggested by Cayley s theorem (named after Arthur Cayley) and uses a particular, usually… …   Wikipedia

• 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

• Coxeter graph — This article is about the 3 regular graph. For the graph associated with a Coxeter group, see Coxeter diagram. Coxeter graph The Coxeter graph Vertices 28 Edges 42 …   Wikipedia

• List of graph theory topics — This is a list of graph theory topics, by Wikipedia page. See glossary of graph theory for basic terminology Contents 1 Examples and types of graphs 2 Graph coloring 3 Paths and cycles 4 …   Wikipedia