Graph Theory
Induction proof
Prove that if T is a tree, then the chromatic color of T is 2 or less, (Hint-use induction on P, the number of vertices of T)
Defns- Tree is a graph with no cycles
Chromatic color is the least number of colors the vertices can be colored so that no 2 adjacent vertices share the same color
I dont understand what they mean by induction on P, what will the induction statement look like?
side note they dont want you to use the theorem where every tree is a bipartite graph,

Hey! We 've verified this expert answer for you, click below to unlock the details :)

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

Inducting on P means, you need to show that the statement is true for all \(P\in \mathbb{N}\).

hm

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

Looking for something else?

Not the answer you are looking for? Search for more explanations.