150 citations · 905 across the 15 of their papers we have counts for
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cond-mat.stat-mech2013★ 16 cited
Analytical solution for a class of network dynamics with mechanical and financial applications
Pavel Krejčí, Harbir Lamba, Sergey Melnik +1
We show that for a certain class of dynamics at the nodes the response of a network of any topology to arbitrary inputs is defined in a simple way by its response to a monotone inp…
cond-mat.stat-mech2009★ 124 cited
How clustering affects the bond percolation threshold in complex networks
James P. Gleeson, Sergey Melnik, Adam Hackett
The question of how clustering (non-zero density of triangles) in networks affects their bond percolation threshold has important applications in a variety of disciplines. Recent a…
cond-mat.stat-mech2008★ 28 cited
Analytical results for bond percolation and k-core sizes on clustered networks
James P. Gleeson, Sergey Melnik
An analytical approach to calculating bond percolation thresholds, sizes of -cores, and sizes of giant connected components on structured random networks with non-zero clusterin…