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Backtracking based k-SAT algorithms

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00447653" target="_blank" >RIV/67985840:_____/15:00447653 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-642-27848-8_45-2" target="_blank" >http://dx.doi.org/10.1007/978-3-642-27848-8_45-2</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-642-27848-8_45-2" target="_blank" >10.1007/978-3-642-27848-8_45-2</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Backtracking based k-SAT algorithms

  • Original language description

    Determination of the complexity of k-CNF satisfiability is a celebrated open problem: given a Boolean formula in conjunctive normal form with at most k literals per clause, find an assignment to the variables that satisfies each of the clauses or declarenone exists. It is well known that the decision problem of k-CNF satisfiability is NP-complete for l>=?3. This entry is concerned with algorithms that significantly improve the worst-case running time of the naive exhaustive search algorithm, which is poly(n)2 n for a formula on n variables. Monien and Speckenmeyer [8] gave the first real improvement by giving a simple algorithm whose running time is ..., with ... for all k. In a sequence of results [1, 3, 5?7, 9?12], algorithms with increasingly better running times (larger values of ...) have been proposed and analyzed.

  • Czech name

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Book/collection name

    Encyclopedia of Algorithms

  • ISBN

    978-3-642-27848-8

  • Number of pages of the result

    6

  • Pages from-to

    1-6

  • Number of pages of the book

    2591

  • Publisher name

    Springer

  • Place of publication

    Berlin

  • UT code for WoS chapter