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  • 18 Pages Rittu_toc1
    Rittu_toc1

    School: Mississippi State

    Theorem 8.19 If algorithm Ahas absolute approximation ratio RA, then the shifting algorithm has absolute approximation (KRA+1)/(K+1) Proof. If N is the number of disks in some optimal solution. Since A yields RAapproximations, the number of disks ret

  • 9 Pages Presentation_Benjamin2
    Presentation_Benjamin2

    School: Mississippi State

    No Guarantee Unless P equals NP Benjamin Daggolu Theorem 8.23 For each problem in NP, there is a polynomial-time map f from instances of to instances of Max3SAT and a fixed > 0 such that, for any instance x of , the following implications hold:

  • 59 Pages TOC-Jansen
    TOC-Jansen

    School: Mississippi State

    From Decision to Optimization and Enumeration 7.3.1 to 7.3.3 7.3.1 TURING REDUCTIONS AND SEARCH PROBLEMS In the Beginning When studying complexity theory we generally restrict our problems to decision problems. This is done to ease the study. We

  • 20 Pages Lalitha_presentation1
    Lalitha_presentation1

    School: Mississippi State

    - Lalitha Pragada. Proposition 8.1: Vertex Cover remains NP-Complete when limited to graphs of degree 5. Restriction to planar graphs. Proof of NP-Completeness: By reduction from one of the versions of 3SAT. Constructions from 3SAT: 1. A part( 1 fr

  • 18 Pages Sai_Divya_Enni_presentation1
    Sai_Divya_Enni_presentation1

    School: Mississippi State

    8.3.2 ConstantDistanceApproximations Sai DivyaEnni Westartwiththestrictestofperformanceguaranteesthat approximationremainswithinconstantdistanceofthe optimalsolution. Onthebasisofthisguaranteewecansaythatfindingoptimal solutioncanbecomeeasierthati

  • 11 Pages Lalitha_presentation2
    Lalitha_presentation2

    School: Mississippi State

  • 16 Pages Adam_Jones_presentation1
    Adam_Jones_presentation1

    School: Mississippi State

    8.2 Strong NP Completeness Adam Jones jaj33@cse.msstate.edu CSE 8813, Theory of Computation Fall 2008 General/Restricted Cases There exists no known generalizable algorithm for tractably solving problems of the class NP. Though these problems ar

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