PPT-NP Hard Problems

Instructor Neelima Gupta ngupta csduacin Presentation Edited by Sapna Grover Table of Contents NP Hardness Reductions NP Hard The aim to study this class is not to solve a problem but to see how hard . Richard M. Karp. Bangalore, January 5, 2011. NP-Hard Problems. The P vs. NP problem: Is finding a solution to a combinatorial search problem as easy as checking a solution. The answer is expected to be “No.”. Rahul. . Santhanam. University of Edinburgh. Plan of the Talk. Preliminaries and Motivation. Informational Bottlenecks: Proof Complexity and Related Models. Computational Bottlenecks: OPP and Compression. vs. Algebraic. Computational Problems. Boaz Barak – MSR New England. Based on joint works with Benny Applebaum, Guy Kindler, . David . Steurer, . and . Avi Wigderson . Erd. ő. s Centennial, Budapest, July 2013. T. heory. Intractable problems. Online Cryptography Course Dan Boneh. Easy problems. Given composite N and x in Z. N . . find x. -1. . in Z. N . Given prime p . Chairman & CEO of Complete Holdings Group. Founder of Passport Health Communications. 35 years of healthcare experience. On board of PharmMD, Patient Focus, NextGXDX, Brightstone, WMC foundation. Nattee Niparnan. Easy & Hard Problem. What is “difficulty” of problem?. Difficult. . for . computer scientist. to derive algorithm for the problem?. Difficult for . computer. to solve (run the derived algorithm) the problem?. Polynomial Problems (P Family). The set of problems that can be . solved. . in polynomial time . These problems form the P family . All problems we covered so far are in P. P. Nondeterministic Polynomial (NP Family). into Computational Complexity. Bart Selman . Cornell University. Joint with Scott Kirkpatrick (IBM Research). Computational Challenges. Many core computational tasks have been shown to be . computationally intractable. Learning Outcome Assessment 1. ASSE 2111 – Section. Mashail. AlHussan 200800211. Basma. . Alqahtani. . Reem. . AlGarawi. 200900379. Outline. Introduction.. How Skilled is Your Thinking (Right Now)?. Context. Final Year. 120 credits (1 credit . approx. 10 hours). 30 credit project. 4 modules in semester 1 . 4 modules in semester 2. A module is 10 credits. 1 c. ompulsory . module on Prof Issues. Students select 4 modules from 8 in each semester. Rob Sherwood. SDNRG – Atlanta, November 2012. Outline. Level Setting and Framework. Sexy. problems. (that I’m not going to talk about). My. (not so sexy) . Problems. Forwarding Memory Abstractions. Given an algorithm A that solves a problem.. If the worst case time efficiency of A is O(p(n)), for some polynomial p, then A is said to solve the problem in . polynomial time. .. If a problem can be solved in polynomial time it is said to be . Richard M. Karp. Bangalore, January 5, 2011. NP-Hard Problems. The P vs. NP problem: Is finding a solution to a combinatorial search problem as easy as checking a solution. The answer is expected to be “No.”. CHINMAYA KRISHNA SURYADEVARA. P and NP. P – The set of all problems solvable in polynomial time by a deterministic Turing Machine (DTM).. Example: Sorting and searching.. P and NP. NP- the set of all problems solvable in polynomial time by non deterministic Turing Machine (NDTM).