Diameters in preferential attachment models
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Publication:967660
DOI10.1007/s10955-010-9921-zzbMath1191.82020arXiv0705.4153OpenAlexW2157921649MaRDI QIDQ967660
Remco van der Hofstad, Gerard Hooghiemstra, Sander Dommers
Publication date: 30 April 2010
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0705.4153
Small world graphs, complex networks (graph-theoretic aspects) (05C82) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)
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Cites Work
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- Convergence properties of the degree distribution of some growing network models
- A preferential attachment model with random initial degrees
- Distance in random graphs with infinite mean degrees
- Universality for the distance in finite variance random graphs
- The diameter of a scale-free random graph
- Distances in random graphs with finite mean and infinite variance degrees
- The degree sequence of a scale-free random graph process
- Random Graphs and Complex Networks
- Statistical mechanics of complex networks
- Emergence of Scaling in Random Networks
- The degree sequences and spectra of scale-free random graphs
- A Phase Transition for the Diameter of the Configuration Model
- Note on the heights of random recursive trees and random m‐ary search trees
- The Structure and Function of Complex Networks
- On random trees
- Coupling Scale-Free and Classical Random Graphs
- Coupling Online and Offline Analyses for Random Power Law Graphs
- Robustness and Vulnerability of Scale-Free Random Graphs
- The Average Distance in a Random Graph with Given Expected Degrees
- The Maximum Degree of the Barabási–Albert Random Tree
- A general model of web graphs
- Connectivity Transitions in Networks with Super-Linear Preferential Attachment
- The phase transition in inhomogeneous random graphs
- Distances in random graphs with finite variance degrees
- Random trees and general branching processes
- The diameter of sparse random graphs
- The average distances in random graphs with given expected degrees
- On a conditionally Poissonian graph process