191 citations · 1.8k across the 50 of their papers we have counts for
51 papers
Neuroscience needs Network Science
Dániel L Barabási, Ginestra Bianconi, Ed Bullmore +17
The brain is a complex system comprising a myriad of interacting elements, posing significant challenges in understanding its structure, function, and dynamics. Network science has…
Diffusive Persistence on Disordered Lattices and Random Networks
Omar Malik, Melinda Varga, Alaa Moussawi +4
To better understand the temporal characteristics and the lifetime of fluctuations in stochastic processes in networks, we investigated diffusive persistence in various graphs. Glo…
The sequence of prime gaps is graphic
Péter L. Erdős, Gergely Harcos, Shubha R. Kharel +3
Let us call a simple graph on vertices a prime gap graph if its vertex degrees are and the first prime gaps. We show that such a graph exists for every large $n…
New results on graph matching from degree preserving growth
Péter L. Erdős, Shubha R. Kharel, Tamás Róbert Mezei +1
The recently introduced \emph{Degree Preserving Growth} model (Nature Physics, \DOI{10.1038/s41567-021-01417-7}) uses matchings to insert new vertices of prescribed degrees into th…
Degree-preserving graph dynamics -- a versatile process to construct random networks
Péter L. Erdős, Shubha R. Kharel, Tamás R. Mezei +1
Real-world networks evolve over time via additions or removals of vertices and edges. In current network evolution models, vertex degree varies or grows arbitrarily. A recently int…
A high-performance analog Max-SAT solver and its application to Ramsey numbers
Botond Molnár, Melinda Varga, Zoltan Toroczkai +1
We introduce a continuous-time analog solver for MaxSAT, a quintessential class of NP-hard discrete optimization problems, where the task is to find a truth assignment for a set of…