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Fig. 12.5. Maximal 9-clique shrinking
(most pairs of its nodes are connected directly) which is part of the maximum 21-
clique. This customer has more connections in the following months indicating he
or she gradually joins in the social circle of the 21 customers and becomes a new
VIP customer to the telecom career. Fig.12.4 also shows that only 19 persons of
the maximum 21-clique have appeared in Jan and only after May, another two
persons denoted by the black filled circles join in the network. The degree of these
two persons is increased sharply in Jun and keeps stable in the later months,
which means these two persons probably have known most of the 19 customers
before and are recommended to use the same network with them, which is good
to the telecom career's business. Moreover, we find that more and more other
customers appearing as small white nodes inside the maximum 21-clique depend
on this structure heavily and together they form a bigger quasi-clique.
By contrast, Fig.12.5 gives the shrinking process of a maximal 9-clique from
Mar to Jun. The shrinking of the maximal clique among the call graphs has a
close relationship with the specific time and the constitution of the structure.
After one person in the 9-clique quit in Apr, the whole structure has shrank
sharply in the next month. Consequently, we can infer that this person may hold
an important position and have a heavy impact on the others in the community
ofthe9persons,soifwecanretainsuchkindofpeopleinadvance,morelost
profits will be prevented, which is another piece of good news to the telecom
operator.
12.7
Future Trends
In recent years, easy connections brought about by cheap devices, modular con-
tent, and shared computing resources are having a profound impact on our so-
cial structures. People now increasingly take their required information from one
another rather than from institutional sources like corporations, media outlets,
religions, and political bodies. As a result, people are implicitly involved in many
social networks which are formed by our friend lists in the instant messaging soft-
wares, by the bloggers who comment on a certain topic in your blogspace, or by
the users who write collaboratively in a wiki site. In social network analysis[4],
maximal clique is one of the typical cohesive sub-structures[11] in a given net-
work, which represents a group of closely related friends who seem to dominate
everything social. However, the clique definition puts too strict restriction on the
 
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