The following is an instance of the conjunctive normal form (CNF) problem. (x1 V x2 V x3) ^ (x3 V T1) ^ (x2 V æ3) Transform this problem into a clique problem. The solution to this CNF problem is not unique. Use the graph to find 3-member cliques. Each column should contain 1 member. Find as many cliques as you can find. Find their corresponding CNF solutions.

The following is an instance of the conjunctive normal form (CNF) problem. (x1 V x2 V x3) ^ (x3 V T1) ^ (x2 V æ3) Transform this problem into a clique problem. The solution to this CNF problem is not unique. Use the graph to find 3-member cliques. Each column should contain 1 member. Find as many cliques as you can find. Find their corresponding CNF solutions.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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In the figure below there is a weighted graph, dots represent vertices, links represent edges, and numbers represent edge weights. S 2 1 2 1 2 3 T 1 1 2 4 (a) Find the shortest path from vertex S to vertex T, i.e., the path of minimum weight between S and T. (b) Find the minimum subgraph (set of edges) that connects all vertices in the graph and has the smallest total weight (sum of edge weights). 2. 3.
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