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(d) Now, prove using induction that every tree has chromatic number 2.

(d) Now, prove using induction that every tree has chromatic number 2.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Hi, can you please do question "d". Thank you!

6. Prove the chromatic number of any tree is two. Recall, a tree is a connected graph with no cycles. (a) Describe a procedure to color the tree below. (b) The chromatic number of Cn is two when n is even. What goes wrong when n is odd? any (c) Prove that your procedure from part (a) always works for tree. (d) Now, prove using induction that every tree has chromatic number 2.
Transcribed Image Text:6. Prove the chromatic number of any tree is two. Recall, a tree is a connected graph with no cycles. (a) Describe a procedure to color the tree below. (b) The chromatic number of Cn is two when n is even. What goes wrong when n is odd? any (c) Prove that your procedure from part (a) always works for tree. (d) Now, prove using induction that every tree has chromatic number 2.
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