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perfect graph

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  • Perfect graph — The Paley graph of order 9, colored with three colors and showing a clique of three vertices. In this graph and each of its induced subgraphs the chromatic number equals the clique number, so it is a perfect graph. In graph theory, a perfect… …   Wikipedia

  • Perfect (disambiguation) — Perfect may refer to: * Perfection, a philosophical concept * Perfection (law), a legal concept * Perfect aspect, a grammatical concept * Perfect, a Cathar priestIn mathematics: * Perfect number * Perfect group * Perfect set * Perfect graphIn… …   Wikipedia

  • 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

  • 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

  • perfect forecast line — Graph of a slope that matches the forecast of an exchange rate with the actual exchange rate. Bloomberg Financial Dictionary …   Financial and business terms

  • Graph factorization — Not to be confused with Factor graph. 1 factorization of Desargues graph: each color class is a 1 factor …   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 operations — Operations on graphs produce new graphs from old ones. They may be separated into the following major categories. Contents 1 Unary operations 1.1 Elementary operations 1.2 Advanced operations 2 …   Wikipedia

  • Claw-free graph — A claw In graph theory, an area of mathematics, a claw free graph is a graph that does not have a claw as an induced subgraph. A claw is another name for the complete bipartite graph K1,3 (that is, a star graph with three edges, three leaves, and …   Wikipedia

  • König's theorem (graph theory) — In the mathematical area of graph theory, König s theorem describes an equivalence between the maximum matching problem and the minimum vertex cover problem in bipartite graphs. Setting A graph is bipartite if its vertices can be partitioned into …   Wikipedia

  • Distance-hereditary graph — A distance hereditary graph. In graph theoretic mathematics, a distance hereditary graph (also called a completely separable graph)[1] is a graph in which the distances in any connected induced subgraph are the same as they are in the original… …   Wikipedia

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