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A directed graph is

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1.
Let G = (V, E) be any connected undirected edge-weighted graph. The weights of the edges in E are positive any distinct. Consider the following statements:
I. Minimum Spanning Tree of G is always unique.
II. Shortest path between any two vertices of G is always unique.
Which of the above statements is/are necessarily true?
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In Breadth First Search, how many times a node is visited?
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Two directed graphs(G and H) are isomorphic if and only if A=PBP-1, where P and A are adjacency matrices of G and H respectively.
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Dijkstra
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The time complexity to calculate the number of edges in a graph whose information in stored in form of an adjacency matrix is ____________
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