Universality for the distance in finite variance random graphs
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Publication:960172
DOI10.1007/s10955-008-9594-zzbMath1152.82008arXivmath/0605414OpenAlexW2122635167MaRDI QIDQ960172
Gerard Hooghiemstra, Remco van der Hofstad, Henri Van Den Esker
Publication date: 16 December 2008
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0605414
Random graphs (graph-theoretic aspects) (05C80) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Distance in graphs (05C12)
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Cites Work
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- Generating simple random graphs with prescribed degree distribution
- Distance in random graphs with infinite mean degrees
- Universality for the distance in finite variance random graphs
- The asymptotic number of labeled graphs with given degree sequences
- Connected components in random graphs with given expected degree sequences
- Distances in random graphs with finite mean and infinite variance degrees
- Asymptotic equivalence and contiguity of some random graphs
- Probability: A Graduate Course
- A critical point for random graphs with a given degree sequence
- The phase transition in inhomogeneous random graphs
- Distances in random graphs with finite variance degrees
- The average distances in random graphs with given expected degrees
- On a conditionally Poissonian graph process