The Combinatorial Group of the Institute of Computer Science of the Czech Academy of Sciences organises a seminar in cooperation with the group Graph limits and inhomogeneous random graphs from the Institute of Mathematics of the Czech Academy of Sciences. If you want to receive announcements of the seminar by e-mail, please contact piguet at cs dot cas dot cz.
The seminars themselves are located either at the Institute of Mathematics, or at the Institute of Computer Science. Please check the location of each seminar!
We run also a reading group. For more info on this seminar, visit the reading group webpage.
Suspended until further notice
The seminar will be replaced by a webinar, see webpage of the webinar
Wednesday 12.2.2020 at 10:00 ICS, room 318, Andrew Newman (Technische Universität Berlin): Connectivity of random simplicial complexes
Abstract: In this talk we look at a higher-dimensional generalization
of the Erdős--Rényi random graph model to random simplicial complexes,
namely the Linial--Meshulam model. In this high-dimensional setting
there will often be many nonequivalent ways to topologically
generalize common graph properties. Several of these will be surveyed
and then new work will be discussed establishing an anticollapsibility
threshold in the Linial--Meshulam model as a generalization of path
connectivity of random graphs. This work is motivated by questions
about high-dimensional trees. This talk will assume familiarity with
random graphs but all relevant topological notions will be defined.
Tuesday 11.2.2020 at 10:00 ICS, room 419, Viktor Bezborodov (Wrocław University of Science and Technology): Stochastic growth models: asymptotic shape and growth rate
Abstract: In this talk we discuss the asymptotic shape and the spread rate for growing stochastic particle systems. We start with the classical models and results and then proceed to discuss more recent developments. We will highlight the differences between discrete-space and continuous-space models. We will also briefly discuss computer simulations.
Friday 24.1.2020 at 10:00 ICS, room 318, Tereza Klimoová (Charles University): Decomposing graphs into paths and trees
Abstract: Bensmail, Harutyunyan, Le and Thomassé conjectured that for a fixed tree T, the edge set of any graph G of size divisible by size of T
with sufficiently high degree can be decomposed into disjoint copies of T, provided that G is sufficiently highly connected in terms of maximal degree of T.
They proved the conjecture for trees of maximal degree 2 (i.e., paths). In particular, they showed that in the case of paths, the conjecture holds for 24-edge-connected graphs.
Friday 17.1.2020 at 10:00 at 10:00 MI, room modrá posluchárna, Balázs Gerencsér (Hungarian Academy of Sciences): Decay of mutual information for factor of iid processes on the d-regular tree
Abstract: We review the concept of factor of iid processes that allows to capture the behavior of local algorithms on large networks.
We investigate how much a global decision can or cannot be made using these processes. In particular, how much independent the output values need to be at far away vertices when applied on the limit case of the d-regular infinite tree.