Civil Engineering Reference
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Fig. 8
Creating minimum community by links of trees
Fig. 9
Creating networks of
elderly people by power law
The tree is considered to be changing constantly, since the level (strength) of the
bonds is a function of time. We do not need to consider the possibility of links with
strong bonds failing to form a tree. Figure
8
shows an example of three trees based
on the network in Fig.
7
k. The dispersity of the links of a given tree connected to
hubs can be defined as follows:
deg
(
H
ql
)
η
=
H
tl
)
,
(1)
deg
(
where
deg
(
H
tl
)
represents the number of links of the tree connected to hubs,
and
deg
(
H
ql
)
represents the number of links of the tree connected to quasi-hubs.
For example,
η
for the networks (a), (b), and (c) in Fig.
8
is 0.22, 0.67, and 1,
respectively.
People cannot be friends with everyone, and many of the elderly have only a few
friends. A very small number of them, however, have an extremely large number of
friends. This phenomenon, as shown in Fig.
9
, can be explained by the power law.
For this reason, when designing local communities for elderly people, we can build
a monitoring system which elderly people can access at any time, by incorporating
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