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A cut in an undirected graph is a separation of the

Introduction to the Theory of Computation | 3rd Edition | ISBN: 9781133187790 | Authors: Michael Sipser ISBN: 9781133187790 221

Solution for problem 7.27 Chapter 7

Introduction to the Theory of Computation | 3rd Edition

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Introduction to the Theory of Computation | 3rd Edition | ISBN: 9781133187790 | Authors: Michael Sipser

Introduction to the Theory of Computation | 3rd Edition

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Problem 7.27

A cut in an undirected graph is a separation of the vertices V into two disjoint subsets S and T. The size of a cut is the number of edges that have one endpoint in S and the other in T. LetMAX-CUT = {hG,ki| G has a cut of size k or more}.Show that MAX-CUT is NP-complete. You may assume the result of 7.26. (Hint: Show that 6=SAT P MAX-CUT. The variable gadget for variable x is a collection of 3c nodes labeled with x and another 3c nodes labeled with x, where c is the number of clauses. All nodes labeled x are connected with all nodes labeled x. The clause gadget is a triangle of three edges connecting three nodes labeled with the literals appearing in the clause. Do not use the same node in more than one clause gadget. Prove that this reduction works.)

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CH: 4 The Nature & Nurture of Behavior 9/21/17 Behavior Genetics  Extent to which genetic & environmental differences among people are responsible for differences in their traits o Genotype: genetic code that makes us up o Genes: DNA segments o Chromosomes: 23 pairs; each chromosome contains our DNA o DNA (deoxyribonucleic acid): makes us who we are  Most common way to study this is through twin & adoption research o Genes o Shared environmental influences: things you have in common with people around you; neighborhood you live in o Nonshared environmental influences: what’s different for you; how your parents respond differently to you and siblings  Twin studies o

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Chapter 7, Problem 7.27 is Solved
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Textbook: Introduction to the Theory of Computation
Edition: 3
Author: Michael Sipser
ISBN: 9781133187790

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