17 citations · 67 across the 24 of their papers we have counts for
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math.PR2012
Contact process on a graph with communities
David Sivakoff
We are interested in the spread of an epidemic between two communities that have higher connectivity within than between them. We model the two communities as independent Erdos-Ren…
math.PR2012★ 17 cited
Jigsaw percolation: What social networks can collaboratively solve a puzzle?
Charles D. Brummitt, Shirshendu Chatterjee, Partha S. Dey +1
We introduce a new kind of percolation on finite graphs called jigsaw percolation. This model attempts to capture networks of people who innovate by merging ideas and who solve pro…
math.PR2012★ 10 cited
Bootstrap percolation on the Hamming torus
Janko Gravner, Christopher Hoffman, James Pfeiffer +1
The Hamming torus of dimension is the graph with vertices and an edge between any two vertices that differ in a single coordinate. Bootstrap percolation with…