Random Graph Asymptotics on High-Dimensional Tori

The birth of the giant component

Svante Janson, Donald E. Knuth, Tomasz Łuczak et al. · Random Structures and Algorithms · 1993 · 397 citations

Directed Graph, Engineering, Network Analysis +18

Sharpness of the phase transition in percolation models

Michael Aizenman, David J. Barsky · Communications in Mathematical Physics · 1987 · 374 citations

Engineering, Physics, Natural Sciences +5

Inequalities with applications to percolation and reliability

J. van den Berg, Harry Kesten · Journal of Applied Probability · 1985 · 308 citations

Large Deviations, Measure Theory, Engineering +13

Tree graph inequalities and critical behavior in percolation models

Michael Aizenman, Charles M. Newman · Journal of Statistical Physics · 1984 · 289 citations

Graph Theory, Random Graph, Probabilistic Graph Theory +5

Brownian excursions, critical random graphs and the multiplicative coalescent

David Aldous · The Annals of Probability · 1997 · 279 citations · Full text

Engineering, Graph Theory, Random Graph +12