Let A = {1,2,3, 4, 5} and B = {1,2, 3, 4, 5, 6}. Give a set T C A®B so that following three constraints are all satisfied: SO (а) Va E A b Е B: (а,b) € Т, (b) VE B За E A: (а,b) € Т, аnd (c) |T| is as small as possible. What is the size |T| as a function of |A and |B|? Justify your answers.

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
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1. Let A = {1,2, 3, 4, 5} and B = {1,2,3, 4, 5, 6}. Give a set T C A B so that following three
constraints are all satisfied:
(а) Va € A b E B: (а,b) € Т,
(b) E В За € A: (а, b) € Т, and
(c) T| is as small as possible.
What is the size |T| as a function of A and B|? Justify your answers.
Transcribed Image Text:1. Let A = {1,2, 3, 4, 5} and B = {1,2,3, 4, 5, 6}. Give a set T C A B so that following three constraints are all satisfied: (а) Va € A b E B: (а,b) € Т, (b) E В За € A: (а, b) € Т, and (c) T| is as small as possible. What is the size |T| as a function of A and B|? Justify your answers.
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