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physics.soc-ph2026
Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains
Gábor Timár, Jonathan A. Ward, Péter L. Simon
Mean-field approximations for dynamical processes on networks are widely used, but existing derivations often rely either on moment closures or on idealised assumptions about netwo…
physics.soc-ph2026
Strongly clustered random graphs via triadic closure: Degree correlations and clustering spectrum
Lorenzo Cirigliano, Gareth J. Baxter, Gábor Timár
Real-world networks often exhibit strong transitivity with nontrivial local clustering spectra and degree correlations. Such features are not easily modeled in tractable network mo…