Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-03-23
Europhys. Lett. 79, 28001 (2007)
Physics
Condensed Matter
Disordered Systems and Neural Networks
Scientific paper
10.1209/0295-5075/79/28001
We study the growth of bipartite networks in which the number of nodes in one of the partitions is kept fixed while the other partition is allowed to grow. We study random and preferential attachment as well as combination of both. We derive the exact analytical expression for the degree-distribution of all these different types of attachments while assuming that edges are incorporated sequentially, i.e., a single edge is added to the growing network in a time step. We also provide an approximate expression for the case when more than one edge are added in a time step. We show that depending on the relative weight between random and preferential attachment, the degree-distribution of this type of network falls into one of four possible regimes which range from a binomial distribution for pure random attachment to an u-shaped distribution for dominant preferential attachment.
Choudhury Monojit
Ganguly Niloy
Mukherjee Animesh
Peruani Fernando
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