independent set

independent set
a set of vertices of a graph, such that no pair of them are adjacent to each other; in other words, a set of vertices which are all "independent" of each other

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  • Independent set — The (unexpectedly asymmetric) set of 9 blue vertices is a maximal independent set for this graph of 24 vertices.In graph theory, an independent set or stable set is a set of vertices in a graph no two of which are adjacent. That is, it is a set V …   Wikipedia

  • Independent Set — Dieses Stichwortverzeichnis enthält kurze Definitionen und Erklärungen zu den wichtigsten graphentheoretischen Begriffen. A Abstand Siehe: Distanz. Achromatische Zahl Die achromatische Zahl ψ(G) eines Graphen G ist die größte Zahl k, für die G… …   Deutsch Wikipedia

  • Independent set (graph theory) — The nine blue vertices form a maximum independent set for the Generalized Petersen graph GP(12,4). In graph theory, an independent set or stable set is a set of vertices in a graph, no two of which are adjacent. That is, it is a set I of vertices …   Wikipedia

  • Independent set problem — In mathematics, the independent set problem (IS) is a well known problem in graph theory and combinatorics. The independent set problem is known to be NP complete. It is almost identical to the clique problem. Description Given a graph G , an… …   Wikipedia

  • Maximal independent set — This article is about the combinatorial aspects of maximal independent sets of vertices in a graph. For other aspects of independent vertex sets in graph theory, see Independent set (graph theory). For other kinds of independent sets, see… …   Wikipedia

  • Set packing — is a classical NP complete problem in computational complexity theory and combinatorics, and was one of Karp s 21 NP complete problems. Suppose we have a finite set S and a list of subsets of S. Then, the set packing problem asks if some k… …   Wikipedia

  • independent — I. adjective Date: 1611 1. not dependent: as a. (1) not subject to control by others ; self governing (2) not affiliated with a larger controlling unit < an independent bookstore > b. (1) not requiring or relying on something else …   New Collegiate Dictionary

  • Independent Party of Oregon — Chairman Linda Williams Secretary General Sal Peralta Founded January 24, 2007 ( …   Wikipedia

  • Independent Catholic Churches — are Christian denominations (or ) which claim apostolic succession for their bishops but are not a part of the Catholic Church, Oriental Orthodoxy, the Eastern Orthodox Churches, the Old Catholic Churches under the Archbishop of Utrecht or the… …   Wikipedia

  • Independent Baptist — churches (also referred to as Independent Fundamental Baptist , or IFB) are Christian churches holding to generally Baptist beliefs. Like all Baptists they are characterized by being independent from the authority of denominations and church… …   Wikipedia

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