Critical random graphs and the differential equations technique
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Publication:1745674
DOI10.1007/s13226-017-0249-0zbMath1384.05137OpenAlexW2782271697MaRDI QIDQ1745674
Shankar Bhamidi, Sanchayan Sen, Amarjit Budhiraja
Publication date: 18 April 2018
Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13226-017-0249-0
branching processescritical random graphsconfiguration modelbounded-size rulesmultiplicative coalescentcontinuum random treeinhomogeneous random graphs
Cites Work
- On the largest component in the subcritical regime of the Bohman-Frieze process
- A note on the Gromov-Hausdorff-Prokhorov distance between (locally) compact metric measure spaces
- Achlioptas process phase transitions are continuous
- The component sizes of a critical random graph with given degree sequence
- The augmented multiplicative coalescent, bounded size rules and critical dynamics of random graphs
- Critical window for the configuration model: finite third moment degrees
- Phase transitions for modified Erdős--Rényi processes
- The continuum random tree. I
- Rayleigh processes, real trees, and root growth with re-grafting
- Birth control for giants
- Random trees and applications
- Brownian excursion area, wright's constants in graph enumeration, and other Brownian areas
- Differential equation approximations for Markov chains
- On percolation in random graphs with given vertex degrees
- A probabilistic proof of an asymptotic formula for the number of labelled regular graphs
- Strong approximation theorems for density dependent Markov chains
- The asymptotic number of labeled graphs with given degree sequences
- Brownian excursions, critical random graphs and the multiplicative coalescent
- The scaling limit of the minimum spanning tree of the complete graph
- Differential equations for random processes and random graphs
- The continuum random tree. III
- The continuum limit of critical random graphs
- Avoiding a giant component
- The Phase Transition in the Configuration Model
- Critical percolation on random regular graphs
- The evolution of subcritical Achlioptas processes
- Percolation
- A new approach to the giant component problem
- The Evolution of Random Graphs
- Component behavior near the critical point of the random graph process
- The Size of the Giant Component of a Random Graph with a Given Degree Sequence
- Aggregation models with limited choice and the multiplicative coalescent
- The birth of the giant component
- The phase transition in inhomogeneous random graphs
- The Phase Transition in the Erdős-Rényi Random Graph Process
- Percolation on Sparse Random Graphs with Given Degree Sequence
- Explosive Percolation in Random Networks
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