Local problems on trees from the perspectives of distributed algorithms, finitary factors, and descriptive combinatorics

S Brandt, YJ Chang, J Grebík, C Grunau… - arxiv preprint arxiv …, 2021 - arxiv.org
We study connections between distributed local algorithms, finitary factors of iid processes,
and descriptive combinatorics in the context of regular trees. We extend the Borel …

Measurable Vizing's theorem

J Grebík - Forum of Mathematics, Sigma, 2025 - cambridge.org
Measurable Vizing’s theorem Page 1 Forum of Mathematics, Sigma (2025), Vol. 13:e32 1–24
doi:10.1017/fms.2024.83 RESEARCH ARTICLE Measurable Vizing’s theorem Jan Grebík …

FIID homomorphisms and entropy inequalities

E Csoka, Z Vidnyanszky - arxiv preprint arxiv:2407.10006, 2024 - arxiv.org
arxiv:2407.10006v2 [math.CO] 29 Oct 2024 Page 1 arxiv:2407.10006v2 [math.CO] 29 Oct
2024 FIID HOMOMORPHISMS AND ENTROPY INEQUALITIES ENDRE CSÓKA AND …

Invitation to Local Algorithms

V Rozhoň - arxiv preprint arxiv:2406.19430, 2024 - arxiv.org
This text provides an introduction to the field of distributed local algorithms--an area at the
intersection of theoretical computer science and discrete mathematics. We collect many …

[PDF][PDF] Ramsey, expanders, and Borel chromatic numbers

J Grebík, Z Vidnyánszky - arxiv preprint arxiv:2205.01839, 2022 - arxiv.org
arxiv:2205.01839v1 [math.LO] 4 May 2022 Page 1 arxiv:2205.01839v1 [math.LO] 4 May 2022
RAMSEY, EXPANDERS, AND BOREL CHROMATIC NUMBERS JAN GREBÍK AND ZOLTÁN …

Complexity of Finite Borel Asymptotic Dimension

J Grebík, C Higgins - ar** between two graphs that generally preserves the structure is
called a graph homomorphism, which has been a fundamental notion and extensively …

Measurable graph combinatorics

AS Marks - Proc. Int. Cong. Math, 2022 - content.ems.press
Measurable graph combinatorics Page 1 Measurable graph combinatorics Andrew S.
Marks Abstract We survey some recent results in the theory of measurable graph …

Local Complexity: New Results and Bridges to Other Fields

V Rozhon - 2024 - research-collection.ethz.ch
This thesis presents new results for the theory of local complexity in distributed computation
and builds bridges to other areas of theoretical computer science and discrete mathematics …