NP-Complete Problems - Virginia Tech

Strategy 3-SAT Sequencing Problems Partitioning Problems Other Problems NP-Complete Problems T. M. Murali April 24, 29, 2024. T. M. Murali April 24, 29, 2024 NP-Complete Problems Strategy 3-SAT Sequencing Problems Partitioning Problems Other Problems Review: Definitions of N P- complete and N P-Hard A problem X is N P- complete if A problem X is N P-Hard if (i) X N P and (ii) for every problem Y N P, (i) for every problem Y N P, Y P X . Y P X . NP NP-hard P NPc T. M. Murali April 24, 29, 2024 NP-Complete Problems Strategy 3-SAT Sequencing Problems Partitioning Problems Other Problems Proving Other Problems N P- complete co-NP NP NP-hard P NPc Claim: If Y is N P- complete and X N P such that Y P X , then X is N P- complete . T. M. Murali April 24, 29, 2024 NP-Complete Problems Strategy 3-SAT Sequencing Problems Partitioning Problems Other Problems Proving Other Problems N P- complete co-NP NP NP-hard P NPc Claim: If Y is N P- complete and X N P such that Y P X , then X is N P- complete .

NP-Complete. Given a new problem X, a general strategy for proving it NP-Complete is 1 Prove that X ∈NP. 2 Select a problem Y known to be NP-Complete. 3 Prove that Y ≤ P X. To prove X …

Loading..

Tags:

  Complete, Problem, Np complete problems

Information

Related search queries