How many solutions are there forthe map coloring problem inFigure 6.1? How many solutionsif four colors are allowed? Twocolors?NorthemTerritoryQueenslandWestemAustraliaSouthAustraliaNewSouthWalesVictoriaTasmania(a)NTWASANSWT(b)Figure 6.1 (a) The principal states and territories of Australia. Coloring this map canbe viewed as a constraint satisfaction problem (CSP). The goal is to assign colors to eachregion so that no neighboring regions have the same color. (b) The map-coloring problemrepresented as a constraint graph.

The quantity of answers for coloring a graph relies upon various factors consisting of the range of…

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How many solutions are there for the map coloring problem in Figure 6.1? How many solutions if four colors are allowed? Two colors?

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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Question

How many solutions are there for
the map coloring problem in
Figure 6.1? How many solutions
if four colors are allowed? Two
colors?
Northem
Territory
Queensland
Westem
Australia
South
Australia
New
South
Wales
Victoria
Tasmania
(a)
NT
WA
SA
NSW
T
(b)
Figure 6.1 (a) The principal states and territories of Australia. Coloring this map can
be viewed as a constraint satisfaction problem (CSP). The goal is to assign colors to each
region so that no neighboring regions have the same color. (b) The map-coloring problem
represented as a constraint graph.

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