what-when-how
In Depth Tutorials and Information
mathematical and computational theories combined with the novel methods of
designing and analyzing large dynamic networks.
In this model design, the problem of detecting breaks in the network is given.
A simple static analysis of this network would not provide the adequate results one
would desire. However, through dynamic modeling, an optimal design of an ad
hoc network could be produced. To effectively model an ad hoc network, dynamic
analysis would need to be used in order to understand the reaction of the nodes of
the network.
Finally, dynamic modeling can be used to determine groups. Group membership
is important in the modeling of social networks, and it is not hard to see that groups
will likely change to dynamical, and not remain static. his concept of dynamical
groups can be best explained using a dynamic group layout view. A group layout
view focuses more on the shared patterns of group membership instead of specific
actors involved in the groups. As opposed to a fixed-entity layout view, the dynamic
group layout view uses shared regions and time windows. his time window is
important to the concept of dynamic group modeling. As time changes, both the
region a group belongs to and the group membership changes. his feature alone is
what causes this model to correctly represent a dynamic environment.
Dynamic modeling is important in obtaining an accurate representation of a
network, whether it be social or infrastructure. he equations and concepts involved
with a dynamic-modeled network are considerably more complicated, and the
computation time is much greater. However, to correctly assess a social network,
dynamic modeling is the most reliable method. In addition, dynamic modeling is
important to the development of probabilistic models, which are also very important
to the accurate definition of a social network. Combining these two types of models
can provide a robust description of a network, which can be used in simulations to
correctly predict future events.
5.4 Small-WorldModels[5]
Another type of social network model is the small-world model. his type of model
is based on the principle that we are all linked by a short chain of acquaintances.
he common theory is that any two people in the United States are connected by
at most six degrees of separation. Since the birth of experimental study in this area
in the 1960s, several network models have been proposed to study the phenomena
analytically.
While these models have been useful in the development of the field, they have
all fallen short of explaining how individuals using local information are very good
at building short paths between two points in a social network. Kleinberg [5], has
formulated a new model that accounts for this issue. He defines an infinite family
of network models and shows that, for one of these models, there is a decentralized
algorithm capable of finding short paths with high probability.
