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Show that the chromatic polynomial of a graph consisting of a single circuit of length n is Pn=λ-1n+λ-1-1n.
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This question is related to graph theory colour covering
graph-theory
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Show that T is a maximum spanning tree for G
Let G=(V,E) a connected graph, and p:E−>R a weight function. We denote |v|=n and E={e1,e2,...,em}, we suppose that ∀i p(ei)≤p(ei+1). 1-Show that in a connected graph G, if T and T′ are two distinct partial ... spaninnig tree on G. 3- Give the complexity of the determination of Tm. Can some one help me in the second and third question? Thank you.
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