Chapter 7: Q10E (page 323)
Show that
Short Answer
The isin showed.
Chapter 7: Q10E (page 323)
Show that
The isin showed.
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Get started for freeShow that is closed under the star operation. (Hint: Use dynamic programming. On input , build a table indicating for each whether the substring
Show that if , then every language , except , is complete.
Let be the subset sum problem in which all numbers are represented in unary. Why does the completeness proof for fail to show is complete? Show that
Show that is closed under the star operation
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 . Let
Show that MAX-CUT is NP-complete. You may assume the result of Problem 7.26. (Hint: Show that. The variable gadget for variable x is a collection of 3c nodes labeled with x and another nodes labeled with 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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