We model an evolving citation network based on the citation pattern followed in a particular discipline.

1
Effect of citation
patterns on network structure.
Soma Sanyal.
School of Library and Information
Science, Indiana University, Bloomington.
We model an evolving citation network based
on the citation pattern followed in a particular
discipline. The Citation pattern is based on
the number of articles published in an year, the
number of references per paper and the
probability of citing newer papers. It can be
modeled by some life-time probability
distribution.
.
Finally we validate our result with the Physical
Review D data set.
We analyze the effects of the nature of the
distribution and the total number of articles on
the degree distribution. Since the total number
of articles and the number of references per
articles are implicitly linked to the
normalization of the life-time distribution, we
analyze the effect of the ratio of the total
number of articles to the number of references

We solve the master equation for the evolving
network using the standard Z-transformation and
obtain the degree distribution of the final
network as

• References.
• Evolution of networks
• S.N. Dorgovtsev and J.J. Mendes.
• Adv. Phys. 51.(2002)
• 2)The simultaneous evolution of author and paper
  networks.
• K. Borner, J.T.Maru and R.L. Goldstone.
• PNAS Vol 101 (2004)

where the inputs are the number of references,
the number of total articles published and the
probability distribution.
Acknowledgements James.S.McDonnell Foundation
Grant, Katy Borner, Robert Goldstone, Shashikant
Penumurthy.