Q. In a simple graph, the number of edges is equal to twice the sum of the degrees of the vertices.

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Q. A connected planar graph having 6 vertices, 7 edges contains _____________ regions.

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Q. If a simple graph G, contains n vertices and m edges, the number of edges in the Graph G'(Complement of G) is ___________

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Q. Which of the following properties does a simple graph not hold?

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Q. What is the maximum number of edges in a bipartite graph having 10 vertices?

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Q. Which of the following is true?

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Q. For a given graph G having v vertices and e edges which is connected and has no cycles, which of the following statements is true?

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Q. For which of the following combinations of the degrees of vertices would the connected graph be eulerian?

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Q. A graph with all vertices having equal degree is known as a __________

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Q. Which of the following ways can be used to represent a graph?

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Q. The number of elements in the adjacency matrix of a graph having 7 vertices is __________

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Q. What would be the number of zeros in the adjacency matrix of the given graph?

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Q. Adjacency matrix of all graphs are symmetric.

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Q. 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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Q. For the adjacency matrix of a directed graph the row sum is the _________ degree and the column sum is the ________ degree.

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Q. What is the maximum number of possible non zero values in an adjacency matrix of a simple graph with n vertices?

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Q. On which of the following statements does the time complexity of checking if an edge exists between two particular vertices is not, depends?

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Q. In the given connected graph G, what is the value of rad(G) and diam(G)?

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Q. Which of these adjacency matrices represents a simple graph?

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Q. Given an adjacency matrix A = [ [0, 1, 1], [1, 0, 1], [1, 1, 0] ], how many ways are there in which a vertex can walk to itself using 2 edges.

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