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20182026
most citedBorel Edge Colorings for Finite Dimensional Groups

6 citations · 12 across the 16 of their papers we have counts for

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7 papers · 1 filter

math.LO2026

Hyperwellfoundedness and Eventual Domination

Atticus Cull, Felix Weilacher

We prove that a Borel strict partial order is an increasing union of wellfounded Borel partial orders if and only if it admits an (injective) Borel homomorphism to the eventual dom…

math.LO2026

Randomized Borel -coloring of digraphs

Anton Bernshteyn, Edward Hou, Forte Shinko +1

Let be a Borel digraph with maximum out-degree . We show that admits a random Borel -coloring for which every edge is almost surely not monochroma…

math.LO2026

Hyperfiniteness of bounded-to-one actions of commutative monoids

Forte Shinko, Felix Weilacher, Jing Yu

A theorem of Dougherty--Jackson--Kechris states that any equivalence relation generated by a single Borel function is hypersmooth. A well-known open problem is whether this can be…

math.LO2026

Measurable matchings in unbalanced graphs

Anton Bernshteyn, Matt Bowen, Felix Weilacher

Let be a locally finite multigraph that is bipartite and "unbalanced," meaning that it has a nontrivial bipartition with for all $x…

math.LO2026

Borel Homomorphisms from Forests to Kneser Graphs

Felix Weilacher

We answer a recent question of Csóka and Vidnyánszky [arXiv:2407.10006] and give an alternate proof of one of their results. The subject of both is which finite graphs admit factor…

math.LO2026

Circle Squaring

Spencer Unger, Narmada Varadarajan, Felix Weilacher

We show that a circle and square of the same area in are equidecomposable by translations using pieces. That is, pieces which are simultaneously …

math.LO2026

LCLs in the Borel Hierarchy

Felix Weilacher

A locally checkable labeling problem (LCL) on a group asks one to find a labeling of the Cayley graph of satisfying a fixed, finite set of "local" constraints. Typical exam…