.(a) Assume there is an adjacency matrix A of an undirected graph G. Further assume a 1 is indicated in the element, A(ij), if there is an edge between node i and node j, and a 0 is indicated in the element A(ij) if there is no edge between node i and node j. Explain the characteristics of the matrix A when (i) the graph is complete, (ii) the graph has a loop (edge connecting a vertex to itself), (iii) the graph has an isolated vertex, i.e., a vertex with no edges incident on it. (b) Repeat (a) for adjacency list representation, each row takes a linked list like structure.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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3.(a) Assume there is an adjacency matrix A of an undirected graph G. Further assume a 1 is
indicated in the element, A(ij), if there is an edge between node i and node j, and a 0 is indicated
in the element A(ij) if there is no edge between node i and node j. Explain the characteristics of
the matrix A when
(i) the graph is complete,
(ii) the graph has a loop (edge connecting a vertex to itself),
(iii) the graph has an isolated vertex, i.e., a vertex with no edges incident on it.
(b) Repeat (a) for adjacency list representation, each row takes a linked list like structure.

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