Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 11 - Section 11.5 - Minimum Spanning Trees - Supplementary Exercises - Page 806: 17

Answer

What is the degree of the root of Bk? Proving the answer is correct.

Work Step by Step

--Because the root of Bk+1 is the root of Bk with one additional child (namely the root of the other Bk), --the degree of the root increases by 1 as k increases by 1. - Because B0 had a root with degree 0, it follows by induction that Bk has a root with degree k.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.