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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Q. If A[x+3][y+5] represents an adjacency matrix, which of these could be the value of x and y.

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Q. 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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Q. Given the following adjacency matrix of a graph(G) determine the number of components in the G.

[0 1 1 0 0 0],

[1 0 1 0 0 0],

[1 1 0 0 0 0],

[0 0 0 0 1 0],

[0 0 0 1 0 0],

[0 0 0 0 0 0].

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Q. Incidence matrix and Adjacency matrix of a graph will always have same dimensions?

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Q. The column sum in an incidence matrix for a simple graph is __________

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Q. What are the dimensions of an incidence matrix?

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Q. The column sum in an incidence matrix for a directed graph having no self loop is __________

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Q. Time complexity to check if an edge exists between two vertices would be ___________

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Q. The graphs G1 and G2 with their incidences matrices given are Isomorphic.

e1 e2 e3 e4 e5 e6
v1 1 0 0 0 0 0
v2 1 1 0 0 0 1
v3 0 1 1 0 1 0
v4 0 0 1 1 0 0
v5 0 0 0 1 1 1



e1 e2 e3 e4 e5 e6
v1 0 0 1 0 0 0
v2 1 0 1 0 1 0
v3 1 1 0 1 0 0
v4 0 1 0 0 0 1
v5 0 0 0 1 1 1

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Q. If a connected Graph (G) contains n vertices what would be the rank of its incidence matrix?

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Q. A Graph Structured Stack is a _____________

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Q. If a Graph Structured Stack contains {1,2,3,4} {1,5,3,4} {1,6,7,4} and {8,9,7,4}, what would be the source and sink vertices of the DAC?

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Q. Graph Structured Stack finds its application in _____________

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Q. If in a DAG N sink vertices and M source vertices exists, then the number of possible stacks in the Graph Structured Stack representation would come out to be N*M.

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Q. Space complexity for an adjacency list of an undirected graph having large values of V (vertices) and E (edges) is ___________

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Q. For some sparse graph an adjacency list is more space efficient against an adjacency matrix.

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Q. Time complexity to find if there is an edge between 2 particular vertices is _________

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