Question 4 Given a undirected weighted graph G = (E,V). With each spanning tree we associate a number which is the weight of the heaviest edge in the tree. Find the spanning tree whose number is minimum among all spanning trees. Explain. (Hint: this involves a simple observation. The question is how to justify this observation. There are many ways to justify. The easiest is probably to recall where "exponentiation" appeared in the HW and use it.)

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Adjacency matrix representation

An adjacency matrix is a square matrix that represents a finite graph. The matrix denotes whether a particular pair of nodes in a graph is adjacent or not. In brief, an adjacency matrix is an array of size N x N, where N is the number of vertices in the graph. The adjacency matrix can be used to represent a directed graph, undirected graph or a weighted graph.