graph with loops

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• 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

• Glossary 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… …   Wikipedia

• Signed graph — In the area of graph theory in mathematics, a signed graph is a graph in which each edge has a positive or negative sign.Formally, a signed graph Sigma; is a pair ( G , sigma;) that consists of a graph G = ( V , E ) and a sign mapping or… …   Wikipedia

• 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

• 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

• Loop (graph theory) — In graph theory, a loop (also called a self loop) is an edge that connects a vertex to itself. A simple graph contains no loops.Depending on the context, a graph or a multigraph may be defined so as to either allow or disallow the presence of… …   Wikipedia

• Directed acyclic graph — An example of a directed acyclic graph In mathematics and computer science, a directed acyclic graph (DAG i …   Wikipedia

• Degree (graph theory) — A graph with vertices labeled by degree In graph theory, the degree (or valency) of a vertex of a graph is the number of edges incident to the vertex, with loops counted twice.[1] The degree of a vertex …   Wikipedia

• Crossing number (graph theory) — A drawing of the Heawood graph with three crossings. This is the minimum number of crossings among all drawings of this graph, so the graph has crossing number cr(G) = 3. In graph theory, the crossing number cr(G) of a graph G is the… …   Wikipedia

• Planar graph — Example graphs Planar Nonplanar Butterfly graph K5 The complete graph K4 …   Wikipedia