'Np completeness' diaporamas de présentation

Algorithms

Algorithms. NP-Complete Problems. Polynomial time algorithms. Most algorithms we have studied so far are polynomial time in the size of their inputs n. Worst case running time is O(n k ) for some constant k. Problems that are solvable by polynomial time algorithms are said to be tractable.

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NP-Completeness

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NP-Completeness

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Complexity and Cryptography

Complexity and Cryptography. Haya Shulman CGC Colloquium. Complexity Theory. Determines complexity (power and limitations) of well defined tasks Defines resources required to solve computational problems E.g. time, space, randomness, interaction

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NP-Completeness

NP-Completeness. NP-Completeness. Coming up Intractability P,NP,NP-Complete,P<>NP NP-Completeness Proofs Informal Illustration Key Concepts Formal definitions: P,NP,NP-Complete First NP-Complete Problem NP-Completeness proofs and Examples (Chap 34).

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CSCI 3130: Formal languages and automata theory

Fall 2011. The Chinese University of Hong Kong. CSCI 3130: Formal languages and automata theory. The Cook-Levin Theorem. Andrej Bogdanov http://www.cse.cuhk.edu.hk/~andrejb/csc3130. NP-completeness. IS. reduces to. VC. CLIQUE. Cook-Levin theorem:. 3SAT. SAT. NP-complete.

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NP Completeness and Approximation algorithms

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CSCI 2670 Introduction to Theory of Computing

CSCI 2670 Introduction to Theory of Computing. December 2, 2004. Agenda. Yesterday The Class NP Today NP-completeness. Announcement. If you want me to have a review session for the final exam, please email me your exam schedule. NP-completeness.

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Big Oh Notation

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Machine Learning 1

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CSC 413/513: Intro to Algorithms

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CSCI 2670 Introduction to Theory of Computing

CSCI 2670 Introduction to Theory of Computing. November 29, 2005. Agenda. Today More on the class NP. The class NP. Definition: A verifier for a language A is an algorithm V, where A={w|V accepts <w,c> for some string c} The string c is called a certificate of membership in A.

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CSE 421 Algorithms

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Near-Optimal Network Design With Selfish Agents

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Spiral Galaxies Puzzles are NP-complete

Spiral Galaxies Puzzles are NP-complete. Erich Friedman Stetson University October 2, 2002. Spiral Galaxies Puzzles. puzzles consist of grid of squares and some circles .

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CSE 421 Algorithms

CSE 421 Algorithms. Richard Anderson Lecture 29 NP-Completeness. Sample Problems. Independent Set Graph G = (V, E), a subset S of the vertices is independent if there are no edges between vertices in S. 1. 2. 3. 5. 4. 6. 7. Satisfiability.

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An Analysis of BGP Convergence Properties

An Analysis of BGP Convergence Properties. Introduction The BGP protocol NP completeness Routing anomalies Complexity analysis Summery. Introduction (BGP). BGP - the de-facto EGP. Policy-based path-vector protocol. nlri, next-hop, as-path, loc-pref

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CSE 421 Algorithms

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Computation Basics & NP-Completeness

Computation Basics & NP-Completeness. ???. ???? ????. Computational Efficiency? ??? Problem Solving Running Time ?? -> ???? ??? ? How the Analyzing goes?. Insersion-Sort. The running time of the algorithm is the sum of running times for each statements executed. Running time.

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