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Vertices, Nodes, Breadth-first Search Algorithm and Rooted Trees

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1. Use the breadth first search algorithm to find a spanning tree for the following connected graph. Start with A and use alphabetical order when there is a choice for a vertex.

2. For the following rooted tree, identify the following:
(a) Which node is the root?
(b) Which nodes are the internal vertices?
(c) Is the rooted tree a binary tree?

3. Let S = {a, b, c}.
(a) List all the 2-permutations of S.
(b) List all the 2-combinations of S.

See attached file for full problem description.

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The solution is comprised of a detailed response regarding vertices, nodes, breadth-first search algorithm and rooted trees (see attachment).

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