(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.

(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

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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