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With the evolution of social networks, the network structure shows dynamicnature in which nodes and edges appear as well as disappear for variousreasons. The role of a node in the network is presented as the number ofinteractions it has with the other nodes. For this purpose a network is modeledas a graph where nodes represent network members and edges represent arelationship among them. Several models for evolution of social networks hasbeen proposed till date, most widely accepted being the Barab\'asi-Albert\cite{Network science} model that is based on \emph{preferential attachment} ofnodes according to the degree distribution. This model leads to generation ofgraphs that are called \emph{Scale Free} and the degree distribution of suchgraphs follow the \emph{power law}. Several generalizations of this model hasalso been proposed. In this paper we present a new generalization of the modeland attempt to bring out its implications in real life.

EvoCut : A new Generalization of Albert-Barab\'asi Model for Evolution of Complex Networks