Scale-free network topology and multifractality in a weighted planar stochastic lattice

@article{Hassan2010ScalefreeNT,
  title={Scale-free network topology and multifractality in a weighted planar stochastic lattice},
  author={M. Kamrul Hassan and M. Zahedul Hassan and Neeaj I. Pavel},
  journal={New Journal of Physics},
  year={2010},
  volume={12},
  pages={093045}
}
We propose a weighted planar stochastic lattice (WPSL) formed by the random sequential partition of a plane into contiguous and non-overlapping blocks and we find that it evolves following several non-trivial conservation laws, namely is independent of time ∀n, where xi and yi are the length and width of the ith block. Its dual on the other hand, obtained by replacing each block with a node at its centre and the common border between blocks with an edge joining the two vertices, emerges as a… 

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