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isolated graph

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  • Graph coloring — A proper vertex coloring of the Petersen graph with 3 colors, the minimum number possible. In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called colors to elements of a graph… …   Wikipedia

  • 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

  • Threshold graph — In graph theory, a threshold graph is a graph that can be constructed from a one vertex graph by repeated applications of the following two operations: #Addition of a single isolated vertex to the graph #Addition of a single dominating vertex to… …   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

  • 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

  • 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

  • Feynman graph — A Feynman graph is a graph suitable to be a Feynman diagram in a particular application of quantum field theory. (The most common use is when each field has quanta (particles) associated with it as the quantum of the electromagnetic field is a… …   Wikipedia

  • Biased graph — In mathematics, a biased graph is a graph with a list of distinguished circles (edge sets of simple cycles), such that if two circles in the list are contained in a theta graph, then so is the third circle of the theta graph. A biased graph is a… …   Wikipedia

  • Line graph — This article is about the mathematical concept. For statistical presentation method, see line chart. In graph theory, the line graph L(G) of undirected graph G is another graph L(G) that represents the adjacencies between edges of G. The name… …   Wikipedia

  • Turán graph — The Turán graph T(13,4) Named after Pál Turán v · …   Wikipedia

  • Degeneracy (graph theory) — In graph theory, a k degenerate graph is an undirected graph in which every subgraph has a vertex of degree at most k: that is, some vertex in the subgraph touches k or fewer of the subgraph s edges. The degeneracy of a graph is the smallest… …   Wikipedia

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