Map coloring problem with [Red, Green, Blue}. Assume that Arizona and Colorado do not share any border, and Utah and New Mexico do not share any border. Southwestern States Pacific Ocean W. Key State ★ Capital ▪▪▪▪ Sacramento Oregon State Boundary Water Carson City Nevada California CEnchantedLearning.com Idaho Salt Lake City Utah Arizona Phoenix MEXICO Wyoming Denver Colorado Santa Fe New Mexico Texas Kansas Nebraska Oklahoma Texas Please answer the following questions. 1. Which state should be selected to color first based on the heuristic of most constraining variable (degree heuristic)? 2. Assume our current assignment is {Nevada= Red, Arizona = Green}, which state(s) should be selected to color next based on the heuristic of minimum remaining value? 3. Assume our current assignment is {Arizona = Blue, Utah = Red} and we select California to color next, which color should we select based on the heuristic of least constraining value?

Map coloring problem with [Red, Green, Blue}. Assume that Arizona and Colorado do not share any border, and Utah and New Mexico do not share any border. Southwestern States Pacific Ocean W. Key State ★ Capital ▪▪▪▪ Sacramento Oregon State Boundary Water Carson City Nevada California CEnchantedLearning.com Idaho Salt Lake City Utah Arizona Phoenix MEXICO Wyoming Denver Colorado Santa Fe New Mexico Texas Kansas Nebraska Oklahoma Texas Please answer the following questions. 1. Which state should be selected to color first based on the heuristic of most constraining variable (degree heuristic)? 2. Assume our current assignment is {Nevada= Red, Arizona = Green}, which state(s) should be selected to color next based on the heuristic of minimum remaining value? 3. Assume our current assignment is {Arizona = Blue, Utah = Red} and we select California to color next, which color should we select based on the heuristic of least constraining value?

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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Concept explainers

Introduction to Greedy Algorithm

A greedy algorithm is a problem-solving method that makes the locally optimal selection at every stage to reach a globally optimal solution. It solves a problem in two stages: Scanning the list of items and Optimization. However, in most problems, the greedy algorithm fails to provide a globally optimal solution.

Question

Map coloring problem with {Red, Green, Blue).
Assume that Arizona and Colorado do not share any border, and Utah and New Mexico do not share any border.
Southwestern States
Pacific
Ocean
ܞ
W
Key
Oregon
Sacramento
★
State
Capital
Carson
State
Boundary
Water
CEnchantedLearning.com
City
Névada
California
Idaho
Salt Lake
City
Utah
Arizona
Phoenix
MEXICO
Wyoming
Denver
Colorado
Santa
Fe
New
Mexico
Texas
Kansas Nebraska
Oklahoma
Texas
Please answer the following questions.
1. Which state should be selected to color first based on the heuristic of most constraining variable (degree heuristic)?
2. Assume our current assignment is {Nevada= Red, Arizona = Green}, which state(s) should be selected to color next based on the heuristic of minimum remaining
value?
3. Assume our current assignment is {Arizona = Blue, Utah = Red} and we select California to color next, which color should we select based on the heuristic of least
constraining value?
4. Assume our current assignment is {California = Red, Arizona = Blue, New Mexico = Green, Colorado = Red}, is this partial assignment consistent based on the arc-
consistency algorithm? Justify your answer by showing the sequence of arcs that you evaluated.

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