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Workshop on Random Graphs, Combinatorial Limits, Stochastic Processes

2022.08.15. - 2022.08.26.
Erdős Center

Description

The purpose of this workshop is to bring together experts and young scientists who will form WORKING GROUPS to SOLVE DIFFERENT PROBLEMS about RANDOM GRAPHS and RELATED MATHEMATICAL TOPICS IN A VERY BROAD SENSE.

The random graph is a fundamental object related to different fields. For example, graph limit theory is about understanding the large-scale structure of a graph, or in other words, understanding how a graph is different from a random graph. Statistical physics uses random graphs to model different physical matters and phase transitions on them. Group theory uses the fact that the Cayley-graph of a free group is locally equivalent to a random regular graph. There are other random structures such as random permutations which have analogous theory. In this broad area, it particularly often happens that a question is motivated by one field, but the best tools for solving it requires the tools of another field, and this is the reason why researchers from different related fields are very welcome.

We are asking the participants, especially the experts, to bring their best open problems and show the backgrounds of them.
The first day, 15 August, we plan a number of short talks for showing the problems and forming goups. In the later days, we will have one or maybe two talks in the mornings, and the rest of the day is dedicated to try to solve the problems in groups. (So the format will be similar to the very successful workshop “Interfaces of the Theory of Combinatorial Limits”)

 

Talks:

Endre Csóka (Rényi Institute): Hoppen-Wormald type algorithms on graph limits
Łukasz Grabowski (University of Leipzig): Hypershallow digraphs
Jan Grebik (Univ.of Warwick): Local problems from the perspective of random processes and distributed algorithms
Eng Keat Hng (The Czech Academy of Sciences): Graph flip processes
Brice Huang (MIT): Max-cut in sparse graphs
Mark Kaufmann (ETH Zurich): Geometric constructions to large networks
Gábor Kun (Rényi Institute): Perfect matchings in graphings
Noela Müller (Eindhoven University of Technology): Partition function of random k-SAT problems
Zoltán Lóránt Nagy (Eötvös Loránd University): Bisection width, internal partitions, and r-degenerate graphs
Gábor Pete (Rényi Institute): Disconnected components of critical Erdős-Rényi random graphs


 

Organizers

Endre Csóka (Rényi Institute)

Invited Speakers

Participants

Zsolt Bartha
Ferenc Bencs
Márton Borbényi
Péter Csikvári
Endre Csóka
Marcin Brianski
Gábor Elek
Panna Fekete 
Łukasz Grabowski 
Jan Grebik
Viktor Harangi
Eng Keat Hng
Brice Huang 
Jeroen Huijben
Joanna Jasińska
Marc Kaufmann 
István Kovács
Gábor Kun 
Ágnes Kúsz
Péter Mester
Zoltán Lóránt Nagy
Noela Müller
Gábor Pete
András Pongrácz
Levente Szemerédi
Zoltán Vidnyánszky

 

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