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Question in graph theory: 1. Let (a1,a2,a3,...an) be a sequence of integers. Given that the sum of all integers...

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Advance Math

Question in graph theory:

1. Let(a1,a2,a3,...an) be asequence of integers.

Given that the sum of all integers = 2(n-1)

Write an algorithm that, starting with a sequence(a1,a2,a3,...an) ofpositive
integers, either constructs a tree with this degree sequence orconcludes that
none is possible.

Answer & Explanation Solved by verified expert
4.3 Ratings (650 Votes)
We know that every finite tees has at least one leafthat is avertex v with degree 1A tree with n vertices has exactly n1 edgesFor n1this is triviallet n1 holds the conditionLet T be a tree with n vertices Let v be a    See Answer
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