  In the study of ad hoc sensor networks, clustering plays an important role in
energy conservation therefore analyzing the mechanics of such topology can be
helpful to make logistic decisions .Using the theory of complex network the
topological model is extended, where we account for the probability of
preferential attachment and anti preferential attachment policy of sensor nodes
to analyze the formation of clusters and calculate the probability of
clustering. The theoretical analysis is conducted to determine nature of
topology and quantify some of the observed facts during the execution of
topology control protocols. The quantification of the observed facts leads to
the alternative understanding of the energy efficiency of the routing
protocols.
