'Np complete problem' presentation slideshows

34.NP Completeness

34.NP Completeness. Hsu, Lih-Hsing. ??? NP-Complete. 50 ????? ( ????? ) ????????????? ( ???? ) ???????????? , ???????????? ( ??????????? ) ? ?? C ? C++ ? java, Which one is best? ?????????????????? NP-C ??????????????? Approximate algorithm ??? fast algorithm. P and NP.

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The Theory of NP-Completeness

The Theory of NP-Completeness. NP. =. NPC. P. P. X. P=NP. ?. NP: Non-deterministic Polynomial. P: Polynomial. NPC: Non-deterministic Polynomial Complete. P : the class of problems which can be solved by a deterministic p olynomial algorithm.

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A Personal view of P versus NP

Lance Fortnow Georgia Institute of Technology. A Personal view of P versus NP. Step 1: Post Elusive Proof. Step 2: Watch Fireworks. By John Markoff

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?? : ???

Chapter 7. ?? : ???. Equivalence Classes. 7.1 Relations Revisited: Properties of Relations. Ex. 7.3 ????????? M =( S , I , O , v , w ). (a) ? s 1 , s 2 ? S , ?? s 1 R s 2 ? v ( s 1 , x )= s 2 ??? x ? I . ?? R ???????? (b) ? S ? ?????????????? ?? s 1 R s 2

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David Evans cs.virginia/evans

Class 24: P=NP?. Remaining Exam 2 comments now posted. PS6 (the last one) is due Thursday, April 24. David Evans http://www.cs.virginia.edu/evans. cs302: Theory of Computation University of Virginia Computer Science. Protein model, Berger Lab UC Berkeley. Final Exam.

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Computer Systems Security Cryptography Topic 1 Main Source: Pfleeger & Pfleeger, Chapter 10

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NP-Completeness

NP-Completeness. More Reductions. Definitions. P: is the class of all decision problems which can be solved in polynomial time, O(n ^ k) for some constant k. For example MST ? P but HC is not known (and suspected not) to be in P.

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Intro to Computation & AI

Intro to Computation & AI. Dr. Jill Fain Lehman School of Computer Science Lecture 4: November 13, 1997. v 4. v 2. e 5. e 2. v 5. e 1. e 8. e 3. v 1. e 6. e 7. v 6. e 4. v 3. Graph Basics. In general a graph consists of a set of nodes/vertices V, and set of edges E

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EL736 Communications Networks II: Design and Algorithms

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NP Completeness

NP Completeness. Piyush Kumar. Today. Reductions Proving Lower Bounds revisited Decision and Optimization Problems SAT and 3-SAT P Vs NP Dealing with NP-Complete Problems Average Case / Heuristics / Approx. Alg. Convex Hulls and Sorting. What are convex hulls?

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CSCI 4325 / 6339 Theory of Computation

CSCI 4325 / 6339 Theory of Computation. Zhixiang Chen. Chapter 7 NP-Completeness. NP. NP-complete. P. The New World. Poly-Time Computable Functions. Definition. A function is said to be poly-time computable if there is a poly-time bounded TM M that computes it.

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NP-Complete Problems

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04/04/13

Algorithms and NP. 04/04/13. Discrete Structures (CS 173) Derek Hoiem, University of Illinois. Administrative. Mini-homework released yesterday Long-form homework Problems released on website today Moodle boxes available on Friday Note: mini- hw is long, and long-form homework is short

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CS211

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NP -Complete Problems II

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Computability and Complexity

Computability and Complexity. 17-1. Strong NP-Completeness. Computability and Complexity Andrei Bulatov. Computability and Complexity. Knapsack. Instance: A sequence of positive integer values a set of positive integer weights

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Observations of Heterogonous Earliest Finish Time (HEFT) Algorithm

Observations of Heterogonous Earliest Finish Time (HEFT) Algorithm . Kevin Tzeng. Task Scheduling for Heterogeneous Computing . Similar to R|pmtn|Cmax , but without preemptions and with precedence constraints NP Complete Problem HEFT is a Heuristic Algorithm. Formal Model.

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Limits to Computation

Limits to Computation. How do you analyze a new algorithm? Put it in the form of existing algorithms that you know the analysis. For example, given 2 arrays, pair the smallest in each array, the next smallest, etc. Can be done by sorting each array and pairing first, second, etc.

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Computational Complexity

Computational Complexity. Shirley Moore http://www.cs.utep.edu/svmoore CS4390/5390 Fall 2013 August 27, 2013. Learning Outcomes. After completing this lesson, you should be able to Define the complexity classes P and NP Define NP-complete

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