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trivially perfect graph

См. также в других словарях:

  • 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

  • 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

  • Comparability graph — In graph theory, a comparability graph is an undirected graph that connects pairs of elements that are comparable to each other in a partial order. Comparability graphs have also been called transitively orientable graphs, partially orderable… …   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

  • Graphe cordal — Un cycle, en noir, avec deux cordes, en vert. Si l on s en tient à cette partie, le graphe est cordal. Supprimer l une des arêtes vertes rendrait le graphe non cordal. En effet, l autre arête verte formerait, avec les trois arêtes noires, un… …   Wikipédia en Français

  • Induced path — An induced path of length four in a cube. Finding the longest induced path in a hypercube is known as the snake in the box problem. In the mathematical area of graph theory, an induced path in an undirected graph G is a path that is an induced… …   Wikipedia

  • Dilworth's theorem — In mathematics, in the areas of order theory and combinatorics, Dilworth s theorem characterizes the width of any finite partially ordered set in terms of a partition of the order into a minimum number of chains. It is named for the mathematician …   Wikipedia

  • Martin Charles Golumbic — (born September 30, 1948) is a mathematician and computer scientist, best known for his work in algorithmic graph theory and in artificial intelligence. He is the founding editor in chief of the journal Annals of Mathematics and Artificial… …   Wikipedia

  • Arrow's impossibility theorem — In social choice theory, Arrow’s impossibility theorem, the General Possibility Theorem, or Arrow’s paradox, states that, when voters have three or more distinct alternatives (options), no voting system can convert the ranked preferences of… …   Wikipedia

  • Marriage theorem — In mathematics, the marriage theorem (1935), usually credited to mathematician Philip Hall, is a combinatorial result that gives the condition allowing the selection of a distinct element from each of a collection of subsets.Formally, let S = { S …   Wikipedia

  • Markov random field — A Markov random field, Markov network or undirected graphical model is a set of variables having a Markov property described by an undirected graph. A Markov random field is similar to a Bayesian network in its representation of dependencies. It… …   Wikipedia

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