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1. Encode the problem of finding a valid color assignment for this graph as a propositional formula in clause form. A model of your formula must represent a solution of the coloring problem. Describe the role of all variables and clauses you use. 2. Encode the problem as a PLFD formula in clause form such that all variables us the domain {red, green, blue}. Describe the role of all variables and clauses you use.

1. Encode the problem of finding a valid color assignment for this graph as a propositional formula in clause form. A model of your formula must represent a solution of the coloring problem. Describe the role of all variables and clauses you use. 2. Encode the problem as a PLFD formula in clause form such that all variables us the domain {red, green, blue}. Describe the role of all variables and clauses you use.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5 Problem Encoding Consider the following graph: 1 4 2 4 We want to assign one of the colors red, green, blue to every node of the graph, such that no connected nodes have the same color. For example, the graph to the left is a solution to the problem, the graph to the right is not. 5 2 3 5 1 3 4 2 5 3 1. Encode the problem of finding a valid color assignment for this graph as a propositional formula in clause form. A model of your formula must represent a solution of the coloring problem. Describe the role of all variables and clauses you use. 2. Encode the problem as a PLFD formula in clause form such that all variables us the domain {red, green, blue}. Describe the role of all variables and clauses you use.
Transcribed Image Text:5 Problem Encoding Consider the following graph: 1 4 2 4 We want to assign one of the colors red, green, blue to every node of the graph, such that no connected nodes have the same color. For example, the graph to the left is a solution to the problem, the graph to the right is not. 5 2 3 5 1 3 4 2 5 3 1. Encode the problem of finding a valid color assignment for this graph as a propositional formula in clause form. A model of your formula must represent a solution of the coloring problem. Describe the role of all variables and clauses you use. 2. Encode the problem as a PLFD formula in clause form such that all variables us the domain {red, green, blue}. Describe the role of all variables and clauses you use.
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