
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781119278023
Author: Michael T. Goodrich; Roberto Tamassia; Michael H. Goldwasser
Publisher: Wiley Global Education US
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Chapter 3, Problem 43P
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Given a relation schema R = (A, B, C, D, E,G) with a set of functional dependencies
F {ABCD
BC → DE
B→ D
D→ A}.
(a) Show that R is not in BCNF using the functional dependency A → BCD.
(b) Show that AG is a superkey for R
(c) Compute a canonical cover Fc for the set of functional dependencies F. Show your work.
(d) Give a 3NF decomposition of R based on the canonical cover found in (c). Show your
work.
(e) Give a BCNF decomposition of R using F. Show your work.
The following entity-relationship (ER) diagram models a database that helps car deal-
ers maintain records of customers and cars in their inventory.
Construct a relational database schema from the ER diagram. Your set of schemas should
include primary-key and foreign-key constraints and you should ensure there are no redundant
schemas.
has_model
model
modelID
name
vehicle
has_vehicle
VIN
dealer_ID
brand
name
has_available_option
has_option
has_dealer
options
options_ID
specification
dealer
dealer ID
name
customer_ID
owned_by
customer
customer ID
name
A relation schema R = (A, B, C, D, E) with a set of functional dependencies
F= {D A
CAB}
is decomposed into R₁ = (A, B, C) and R2 = (C, D, E).
(a) Is this a lossless-join decomposition? Why or why not?
(b) Is the decomposition dependency preserving? Why or why not?
Chapter 3 Solutions
Data Structures and Algorithms in Java
Chapter 3, Problem 1RChapter 3, Problem 2RChapter 3, Problem 3RChapter 3, Problem 4RChapter 3, Problem 5RChapter 3, Problem 6RChapter 3, Problem 7RChapter 3, Problem 8RChapter 3, Problem 9RChapter 3, Problem 10R
Chapter 3, Problem 11RChapter 3, Problem 12RChapter 3, Problem 13RChapter 3, Problem 14RChapter 3, Problem 15RChapter 3, Problem 16RChapter 3, Problem 17CChapter 3, Problem 18CChapter 3, Problem 19CChapter 3, Problem 20CChapter 3, Problem 21CChapter 3, Problem 22CChapter 3, Problem 23CChapter 3, Problem 24CChapter 3, Problem 25CChapter 3, Problem 26CChapter 3, Problem 27CChapter 3, Problem 28CChapter 3, Problem 29CChapter 3, Problem 30CChapter 3, Problem 31CChapter 3, Problem 32CChapter 3, Problem 33CChapter 3, Problem 34CChapter 3, Problem 35CChapter 3, Problem 36PChapter 3, Problem 37PChapter 3, Problem 38PChapter 3, Problem 39PChapter 3, Problem 40PChapter 3, Problem 41PChapter 3, Problem 42PChapter 3, Problem 43P
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