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A sound theory for analysing the complex behaviour of dynamic networks

The aim of the EU-funded DYNASNET project is to engage leading experts in network science and graph theory to build a mathematically sound theory of dynamic networks.


Latest Publications

Problems and results on 1-cross-intersecting set pair systems

Füredi Z, Gyárfás A, and Király Z (2023). Problems and results on 1-cross-intersecting set pair systems. Combinatorics, Probability and Computing 32, 691–702.

Random interlacement is a factor of i.i.d.


The random interlacement point process (introduced in [47], generalized in [ 50 ]) is a Poisson point process on the space of labeled doubly infinite nearest neighbour trajectories modulo time-shift on a transient graph G. We show that the random interlacement point process on any transient transitive graph G is a factor of i.i.d., i.e., it can be constructed from a family of i.i.d. random variables indexed by vertices of the graph via an equivariant measurable map.

State-controlled epidemic in a game against a novel pathogen


The pandemic reminded us that the pathogen evolution still has a serious effect on human societies. States, however, can prepare themselves for the emergence of a novel pathogen with unknown characteristics by analysing potential scenarios. Game theory offers such an appropriate tool.