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Mathematics, 14.09.2019 04:30 kealinwiley

let t be an arbitrary tree with maximum degree 3. what is the relationship between the number of vertices of degree 1 and the number of vertices of degree 3 in t? prove your answer using the handshaking lemma.
(c) generalise the result for an arbitrary tree, by proving a formula for the number of vertices of degree 1 in terms of the number of vertices of degree d (for d = 3, 4, 5, .

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