Homework Answers
e)
The total number of nodes N in a full binary tree with L leaves is ?=2?−1
Proof:
=> Number of leaf nodes, L = (N + 1)/2 [proved]
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Recall the definition of the degree of a vertex in a graph. a)
Suppose a graph has 7 vertices, each of degree 2 or 3. Is the graph
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My professor gave an example in class. He said triangle and a
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Recall the definition of the degree of a vertex in a graph. a)
Suppose a graph has 7 vertices, each of degree 2 or 3. Is the graph
necessarily connected ?
b) Now the graph has 7 vertices, each degree 3 or 4. Is it
necessarily connected?
My professor gave an example in class. He said triangle and a
square are graph which are not connected yet each vertex has degree
2.
(Paul Zeitz, The Art and Craft of Problem...
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