Exercises 5.1.2 Show that in any KTS(v), (a) the number of triples in each parallel class is v/3, and (b) the number of parallel classes is (v - 1)/2. Deduce that v = 3 (mod 6) is necessary.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Exercises
5.1.2 Show that in any KTS(v),
(a) the number of triples in each parallel class is v/3, and
(b) the number of parallel classes is (v - 1)/2.
Deduce that v = 3 (mod 6) is necessary.
Transcribed Image Text:Exercises 5.1.2 Show that in any KTS(v), (a) the number of triples in each parallel class is v/3, and (b) the number of parallel classes is (v - 1)/2. Deduce that v = 3 (mod 6) is necessary.
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