DATA STRUCTURES & ALGORITHMSgk/courses/NP completeness.pdf · NP-Completeness CS/SE2C03....

6
NP-Completeness CS/SE2C03

Transcript of DATA STRUCTURES & ALGORITHMSgk/courses/NP completeness.pdf · NP-Completeness CS/SE2C03....

Page 1: DATA STRUCTURES & ALGORITHMSgk/courses/NP completeness.pdf · NP-Completeness CS/SE2C03. NP-Completeness CS/SE2C03. co-NP (a) NP n co-NP (c) co-NP co-NP co-NP (b) NP n co-NP (d) (a)

NP-Completeness

CS/SE2C03

Page 2: DATA STRUCTURES & ALGORITHMSgk/courses/NP completeness.pdf · NP-Completeness CS/SE2C03. NP-Completeness CS/SE2C03. co-NP (a) NP n co-NP (c) co-NP co-NP co-NP (b) NP n co-NP (d) (a)

NP-Completeness

CS/SE2C03

Page 3: DATA STRUCTURES & ALGORITHMSgk/courses/NP completeness.pdf · NP-Completeness CS/SE2C03. NP-Completeness CS/SE2C03. co-NP (a) NP n co-NP (c) co-NP co-NP co-NP (b) NP n co-NP (d) (a)

NP-Completeness

CS/SE2C03

Page 4: DATA STRUCTURES & ALGORITHMSgk/courses/NP completeness.pdf · NP-Completeness CS/SE2C03. NP-Completeness CS/SE2C03. co-NP (a) NP n co-NP (c) co-NP co-NP co-NP (b) NP n co-NP (d) (a)

NP-Completeness

CS/SE2C03

Page 5: DATA STRUCTURES & ALGORITHMSgk/courses/NP completeness.pdf · NP-Completeness CS/SE2C03. NP-Completeness CS/SE2C03. co-NP (a) NP n co-NP (c) co-NP co-NP co-NP (b) NP n co-NP (d) (a)

NP-Completeness

CS/SE2C03

Page 6: DATA STRUCTURES & ALGORITHMSgk/courses/NP completeness.pdf · NP-Completeness CS/SE2C03. NP-Completeness CS/SE2C03. co-NP (a) NP n co-NP (c) co-NP co-NP co-NP (b) NP n co-NP (d) (a)

NP-Completeness

CS/SE2C03


P, NP, and NP-Completeness - Computer Science Department at

P, NP, and NP-Completeness - Computer Science Department at

NP-completeness and the real world NP-completeness and the ...profs.scienze.univr.it/~liptak/MBD/files/MBDNPcompleteness_6up.pdf · problems NP!hard problems P NP 15 / 39 TheP =NP

NP-completeness and the real world NP-completeness and the ...profs.scienze.univr.it/~liptak/MBD/files/MBDNPcompleteness_6up.pdf · problems NP!hard problems P NP 15 / 39 TheP =NP

NP Completeness 2

NP Completeness 2

Automated NP-completeness proof for 2D problems

Automated NP-completeness proof for 2D problems

Many Np Completeness Proofs

Many Np Completeness Proofs

NP-Completeness - University of Texas at San Antoniobylander/cs3343/notes/np-completenesshandout.pdfCS3343AnalysisofAlgorithms NP-Completeness –6 CLIQUE CS3343AnalysisofAlgorithms

NP-Completeness - University of Texas at San Antoniobylander/cs3343/notes/np-completenesshandout.pdfCS3343AnalysisofAlgorithms NP-Completeness –6 CLIQUE CS3343AnalysisofAlgorithms

P, NP, and NP-Completeness - Chonbuknlp.chonbuk.ac.kr/AA/lec20.pdf · 2016-06-01 · P, NP, and NP-Completeness Siddhartha Sen Questions: sssix@cs.princeton.edu Some figures obtained

P, NP, and NP-Completeness - Chonbuknlp.chonbuk.ac.kr/AA/lec20.pdf · 2016-06-01 · P, NP, and NP-Completeness Siddhartha Sen Questions: [email protected] Some figures obtained

NP Hardness/Completeness Overview

NP Hardness/Completeness Overview

12 NP Completeness

12 NP Completeness

NP-Completeness - en:group [Algo LMA]algo.epfl.ch/.../2011-2012/algorithmique-npcompleteness-2011c.pdf · NP Completeness Theory of NP-completeness tries to understand why we have

NP-Completeness - en:group [Algo LMA]algo.epfl.ch/.../2011-2012/algorithmique-npcompleteness-2011c.pdf · NP Completeness Theory of NP-completeness tries to understand why we have

Theory of NP- Completeness · Theory of NP-Completeness Topics: • Turing Machines • Cook’s Theorem • Implications NP-complete.ppt CS 451 S’ 01 15-451 Algorithms Randal E.

Theory of NP- Completeness · Theory of NP-Completeness Topics: • Turing Machines • Cook’s Theorem • Implications NP-complete.ppt CS 451 S’ 01 15-451 Algorithms Randal E.

NP -Completeness - Baylor Universitycs.baylor.edu/~maurer/npcompl/npcompl.pdf · NP -Completeness F A problem R is NP complete if: F R is in NP (i.e. there exists a nondeterministic

NP -Completeness - Baylor Universitycs.baylor.edu/~maurer/npcompl/npcompl.pdf · NP -Completeness F A problem R is NP complete if: F R is in NP (i.e. there exists a nondeterministic

NP Completeness

NP Completeness

CMSC 451: Reductions & NP-completeness

CMSC 451: Reductions & NP-completeness

Reducibility and NP-Completeness

Reducibility and NP-Completeness

P, NP, and NP-Completeness - Cambridge University Pressassets.cambridge.org/97805211/22542/frontmatter/9780521122542... · P, NP, and NP-Completeness The Basics of Computational Complexity

P, NP, and NP-Completeness - Cambridge University Pressassets.cambridge.org/97805211/22542/frontmatter/9780521122542... · P, NP, and NP-Completeness The Basics of Computational Complexity

More NP-completeness

More NP-completeness

NP- - UMass Amherstbarring/cs611/lecture/17.pdf · CMPSCI611: NP Completeness Lecture 17 Essential facts about NP-completeness: • Any NP-complete problem can be solved by a simple,

NP- - UMass Amherstbarring/cs611/lecture/17.pdf · CMPSCI611: NP Completeness Lecture 17 Essential facts about NP-completeness: • Any NP-complete problem can be solved by a simple,

The Theory of NP-Completeness

The Theory of NP-Completeness

1.1 Chapter 3: Proving NP-completeness Results Six Basic NP-Complete Problems Some Techniques for Proving NP-Completeness Some Suggested Exercises.

1.1 Chapter 3: Proving NP-completeness Results Six Basic NP-Complete Problems Some Techniques for Proving NP-Completeness Some Suggested Exercises.