complete graph
11Graph homomorphism — Not to be confused with graph homeomorphism. In the mathematical field of graph theory a graph homomorphism is a mapping between two graphs that respects their structure. More concretely it maps adjacent vertices to adjacent vertices. Contents 1… …
12Graph 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… …
13Complete coloring — of the Clebsch graph with 8 colors. Every pair of colors appears on at least one edge. No complete coloring with more colors exists: in any 9 coloring some color would appear only at one vertex, and there would not be enough neighboring vertices… …
14Graph transformation — Graph transformation, or Graph rewriting, concerns the technique to create a new graph out of an original graph using some automatic machine. It has numerous applications, ranging from software verification to layout algorithms.Graph… …
15Glossary 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… …
16Graph 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;… …
17Graph 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… …
18Graph 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… …
19graph toughness — noun (mathematics) a measure, expressed by a positive integer (with the exception of complete graphs) of the connectivity of a graph …
20Clique (graph theory) — A graph with 23 1 vertex cliques (its vertices), 42 2 vertex cliques (its edges), 19 3 vertex cliques (the light blue triangles), and 2 4 vertex cliques (dark blue). Six of the edges and 11 of the triangles form maximal cliques. The two dark blue …
