a specify that a tree has at least 2 vertices of, Mathematics

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a specify that a tree has at least 2 vertices of

a) Specify that a tree has at least 2 vertices of degree 1.

b) What is the largest number of vertices in a graph with 35 edges if all vertices are of degree at least 3 ?

c) Set up a recurrence for the number of n digit natural numbers with even number of zeros.

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