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MATH239 : math239_s12_t8.pdf

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21 Dec 2014

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University of Waterloo

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Determine (with proof) all possible graphs that satisfy this condition: let t be a tree with n vertices where each vertex has degree either 1 or 4. Deter- mine the number of leaves in t in terms of n: suppose that g is a connected graph. T2. (a) prove that g does not have any bridge. (b) let e e(t1) \ e(t2). Prove that there exists e e(t2) \ e(t1) such that. T1 e + e is a spanning tree of g. (c) let x v (g) be a nonempty subset.

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