a) Given the following undirected graph: 4 1 5 3 Represent the graph as: (i) Adjacency matrix (ii) Adjacency list (iii) Incidence matrix 5 9 A 6 15 20 2 10 7 3 درا 2

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
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a) Given the following undirected graph:
4
1
5
3
Represent the graph as:
(i) Adjacency matrix
(ii) Adjacency list
(iii) Incidence matrix
5
9
A
6
15
20
2
10
7
3
درا
2
Transcribed Image Text:a) Given the following undirected graph: 4 1 5 3 Represent the graph as: (i) Adjacency matrix (ii) Adjacency list (iii) Incidence matrix 5 9 A 6 15 20 2 10 7 3 درا 2
b) Consider the following network. With the indicated link costs, use Dijkstra's shortest-
path algorithm to compute the shortest path from A to all network nodes.
(i) Show how the algorithm works by computing a table (adjacency matrix), like
the one discussed in class.
(ii) Show all the paths from A to all other network nodes.
9
4
Start
A
E
4
5
14
6
D
4
B
6
C
10
Transcribed Image Text:b) Consider the following network. With the indicated link costs, use Dijkstra's shortest- path algorithm to compute the shortest path from A to all network nodes. (i) Show how the algorithm works by computing a table (adjacency matrix), like the one discussed in class. (ii) Show all the paths from A to all other network nodes. 9 4 Start A E 4 5 14 6 D 4 B 6 C 10
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