4. All graphs in this question are finite and simple. (a) If T is a tree with at least 2 vertices, show that x(T) = 2. (b) Determine x(Cn, k), the number of k colourings of the cycle Cn with n vertices, for n> 3.
4. All graphs in this question are finite and simple. (a) If T is a tree with at least 2 vertices, show that x(T) = 2. (b) Determine x(Cn, k), the number of k colourings of the cycle Cn with n vertices, for n> 3.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.2: Graphs Of Equations In Two Variables; Circles
Problem 5E: a If a graph is symmetric with respect to the x-axis and (a,b) is on the graph, then (,) is also on...
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