Q. In a graph if E=(u,v) means ......

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Q. 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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Q. Let A be an adjacency matrix of a graph G. The ij th entry in the matrix Ak , gives

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Q. For an undirected graph with n vertices and e edges, the sum of the degree of each vertex is equal to

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Q. An undirected graph G with n vertices and e edges is represented by adjacency list. What is the time required to generate all the connected components?

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Q. A graph with n vertices will definitely have a parallel edge or self loop if the total number of edges are

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Q. The maximum degree of any vertex in a simple graph with n vertices is

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Q. The data structure required for Breadth First Traversal on a graph is

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Q. In Breadth First Search of Graph, which of the following data structure is used?

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Q. For an undirected graph G with n vertices and e edges, the sum of the degrees of each vertex is

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Q. A complete graph can have ...............

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Q. Graph traversal is different from a tree traversal, because:

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Q. The number of edges in a simple, n-vertex, complete graph is

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Q. Graphs are represented using ............

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Q. The spanning tree of connected graph with 10 vertices contains ..............

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Q. If locality is a concern, you can use ................ to traverse the graph.

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Q. Which of the following algorithms solves the all-pair shortest path problem?

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Q. The minimum number of colors needed to color a graph having n (>3) vertices and 2 edges is

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Q. Which of the following is useful in traversing a given graph by breadth first search?

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Q. The minimum number of edges in a connected cyclic graph on n vertices is

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