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

View solution

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

View solution

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

View solution

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

View solution

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.

View solution

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

View solution

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.

View solution

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].

View solution

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

View solution

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

View solution

Q. What are the dimensions of an incidence matrix?

View solution

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

View solution

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

View solution

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

View solution

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

View solution

Q. A Graph Structured Stack is a _____________

View solution

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?

View solution

Q. Graph Structured Stack finds its application in _____________

View solution

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.

View solution

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

View solution