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GATE | CS 2022 | Question 52
Which of the properties hold for the adjacency matrix A of a simple undirected unweighted graph having n vertices?
(A)
The diagonal entries of A2 are the degrees of the vertices of the graph.
(B)
If the graph is connected, then none of the entries of An-1 + In can be zero.
(C)
If the sum of all the elements of A is at most 2(n-1), then the graph must be acyclic.
(D)
If there is at least a 1 in each of A’s rows and columns, then the graph must be connected.
Answer
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