The augmented multiplicative coalescent, bounded size rules and critical dynamics of random graphs
DOI10.1007/s00440-013-0540-xzbMath1318.60012arXiv1212.5493OpenAlexW2028633127MaRDI QIDQ483318
Amarjit Budhiraja, Shankar Bhamidi, Xu An Wang
Publication date: 16 December 2014
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.5493
branching processescritical random graphsentrance boundarydifferential equation methodAchlioptas processbounded-size rulesgiant componentmultiplicative coalescentinhomogeneous random graphssurplusdynamic random graph modelsscaling window
Random graphs (graph-theoretic aspects) (05C80) Stochastic network models in operations research (90B15) Combinatorial probability (60C05)
Related Items (16)
Cites Work
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- Achlioptas process phase transitions are continuous
- Scaling limits for critical inhomogeneous random graphs with finite third moments
- Phase transitions for modified Erdős--Rényi processes
- Novel scaling limits for critical inhomogeneous random graphs
- The continuum random tree. I
- Birth control for giants
- Brownian excursions, critical random graphs and the multiplicative coalescent
- The continuum limit of critical random graphs
- Avoiding a giant component
- The Bohman-Frieze process near criticality
- Critical random graphs and the structure of a minimum spanning tree
- The evolution of subcritical Achlioptas processes
- On a random graph with immigrating vertices: Emergence of the giant component
- Aggregation models with limited choice and the multiplicative coalescent
- The phase transition in inhomogeneous random graphs
- Bounded-Size Rules: The Barely Subcritical Regime
- On the Infinitesimal Generators of Integral Convolutions
- Probability
- Explosive Percolation in Random Networks
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