(d) Now, prove using induction that every tree has chromatic number 2.
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Chapter2: Second-order Linear Odes
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Hi, can you please do question "d". Thank you!
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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