Dijkstra Matrix, Spanning Tree, Graph, AI, and Network Assignment

This assignment delves into the application of Dijkstra's algorithm, spanning trees, and graph theory concepts. The solution provided includes a matrix representation of a graph, where the values indicate the presence or absence of edges. The assignment explores how the Dijkstra matrix is used to build the network model. The assignment also discusses the properties of the matrix, explaining how the values represent outgoing vertices. Desklib offers this and other solved assignments to help students understand complex concepts and excel in their coursework.

Solution 2.
Solution a.
Dijkstra Matrix is used to create the network.
This is used to build the GPS application.
It is used to create the network model of infectious disease in the Biology.
It is used in the communication process so as to find the nearest telecommunication tower.
Solution b.
Consider that G = (V, E). A spanning tree (T) is a tree if it includes all the vertices of G.
And spanning tree is the subset of the graph (G).
Example –
Graph
a
b c
Spanning Tree
a a
b c b c

Solution c.
v = vertices
v A B C D E F G H I J
A 0 1 1 0 1 1 0 1 1 1
B 0 1 1 0 1 0 1 0 0 0
C 0 1 0 1 0 1 1 1 1 0
D 0 0 1 0 1 0 1 0 0 1
E 0 1 1 0 1 1 1 0 1 0
F 0 1 0 0 1 0 0 0 1 1
G 0 0 0 0 0 0 0 0 0 0
H 0 0 0 0 0 0 0 0 0 0
I 0 0 0 0 0 0 0 0 0 0
J 0 0 0 0 0 0 0 0 0 0