May 2024
Intermediate to advanced
687 pages
18h 35m
English
Content preview from Discrete Mathematical Structures by Pearson
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Topics in Graph Theory 10-5
to an edge e is denoted by w(e). The weights associated with the edges may either be distances or
time needed to cover the distances. The problem is to find the minimum path or minimum time
or minimum cost to reach the destination.
The graph shown in Fig. 10.5(b) is an example of a weighted graph connecting manufacturing
unit P to the market M and the weights represent the distances.
P
M
S
T
Q
R
10
25
12
36
11
20
8
40
6
20
30
55
Figure 10.5(b)
The shortest path is
P → Q → U → R → S → T → M = 77 km
10.2.4 Incidence and Degree
When a vertex v
k
is an end vertex of some edge e
j
, then v
k
and e
j
are said to be incident with
(on or to) each other. ...
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