A K Nandi and S S Manna J. Stat. Mech. (2008) P07009 doi:10.1088/1742-5468/2008/07/P07009
A K Nandi and S S Manna
Show affiliationsThe Rozenfeld, Cohen, ben-Avraham and Havlin scale-free network on regular Euclidean lattices has been observed to have two degree distribution exponents. We propose a modification of this network by assigning links between lattice sites in a democratic manner: at a certain intermediate step all sites get the same opportunity to acquire links within a certain range. This network has only a few unsaturated nodes and has only one degree distribution exponent, exactly equal to that of the assigned distribution. Non-trivial assortative correlations are found to be present in this network. Also the strength–degree relation is found to be non-linear.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
60G50 Sums of independent random variables; random walks
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
82C41 Dynamics of random walks, random surfaces, lattice animals, etc. (See also 60G50)
Issue 07 (July 2008)
Received 24 April 2008, accepted for publication 11 June 2008
Published 9 July 2008
A K Nandi and S S Manna J. Stat. Mech. (2008) P07009
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