Bissoy.com
Doctors Medicines MCQs Q&A

What is the order of the adjacency matrix corresponding to a graph with ‘n’ nodes and ‘m’ edges?

What is the order of the adjacency matrix corresponding to a graph with ‘n’ nodes and ‘m’ edges? Correct Answer n × n

  • Adjacency Matrix is a 2D array of size n x n where n is the number of nodes in a graph.
  • In a 2D array be Adj, a slot Adj = 1 indicates that there is an edge from node i to node j. Adjacency matrix for undirected graph is always symmetric.
  • Adjacency Matrix is also used to represent weighted graphs. If Adj = w, then there is an edge from node i to node j with weight w.
  • Since the size of adjacency matrix is A, therefore the order of the adjacency matrix corresponding to a graph with ‘n’ nodes and ‘m’ edges is n × n.

Related Questions

In an adjacency list representation of an undirected simple graph G = (V, E), each edge (u, v) has two adjacency list entries: [v] in the adjacency list of u, and [u] in the adjacency list of v. These are called twins of each other. A twin pointer is a pointer from an adjacency list entry to its twin. If |E| = m and |V| = n, and the memory size is not a constraint, what is the time complexity of the most efficient algorithm to set the twin pointer in each entry in each adjacency list?
The line graph L(G) of a simple graph G is defined as follows: There is exactly one vertex v(e) in L(G) for each edge e in G. For any two edges e and e' in G, L(G) has an edge between v(e) and v(e'), if and only if e and e' are incident with the same vertex in G. Which of the following statements is/are TRUE? (P) The line graph of a cycle is a cycle. (Q) The line graph of a clique is a clique. (R) The line graph of a planar graph is planar. (S) The line graph of a tree is a tree.
Which of the following statements regarding tree are correct? (A) All the links of a tree together does not constitute the complement of the corresponding tree (B) A connected subgraph of a connected graph is a tree if there exist (n - 1) nodes of the group (C) A connected subgraph of a connected graph is a tree if there exist many paths between any pair of nodes in it (D) The number of terminal nodes of end vertices of every tree are atleast two (E) Every connected graph has atleast one tree Choose the correct answer from the options given below: (1) (A) and (B) only (2) (B) and (C) only (3) (B) and (D) only (4) (D) and (E) only
Consider the following pattern of numbers: \(\dfrac{\begin{matrix} 8 \\\ 6 \ \\\ 4 \ \end{matrix}}{ \ 6} \ \ \dfrac{\begin{matrix} 10 \\\ 5 \ \\\ 6 \ \end{matrix}}{ \ 11} \ \ \dfrac{\begin{matrix} 15 \\\ 7 \ \\\ 8 \ \end{matrix}}{ \ 16} \ \ \dfrac{\begin{matrix} 13 \\\ 4 \ \\\ 8 \ \end{matrix}}{ \ ?}\) What is the number at ? in the above pattern?
For a network graph having its fundamental loop matrix Bf and its sub-matrices Bt and Bl corresponding to twigs and links, which of the following statements are correct? 1) Bl is always an identity matrix. 2) Bt is an identity matrix. 3) Bf has rank of b – (n – 1), where b is the number of branches and n is the number of nodes of the graph.
For some sparse graph an adjacency list is more space efficient against an adjacency matrix.
Consider the following statements for a network graph, if Bf is its fundamental tie set matrix, and Bt and Bl are its sub-matrices corresponding to twigs and links, respectively: 1. Bt is a unit matrix 2. Bl is a rectangular matrix 3. Rank of Bf is (b – n + 1) where b is the number of branches and n is the number of nodes. Which of the above statements are correct?
Let G be a graph with n vertices and m edges. What is the tightest upper bound on the running time of Depth First Search on G, when G is represented as an adjacency matrix?
What would the time complexity to check if an undirected graph with V vertices and E edges is Bipartite or not given its adjacency matrix?
In which case adjacency list is preferred in front of an adjacency matrix?