# 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. K. Hassan and M. Hassan and N. 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… Expand

#### 14 Citations

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Recently, we have shown that if the $i$th node of the Barab\'{a}si-Albert (BA) network is characterized by the generalized degree $q_i(t)=k_i(t)t_i^\beta/m$, where $k_i(t)\sim t^\beta$ and $m$ are… Expand

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