3 papers
math.LO2026
Borel graphs generated by finitely many bounded-to-1 commuting Borel functions and hyperfinite equivalence relations
Ruijun Wang
We show that a Borel graph generated by finitely many bounded-to-1 commuting functions is hyperfinite. This recovers a theorem in the forthcoming paper by Naryshkin, Shinko, Weilac…
math.LO2026
The continuous oriented chromatic number of directed Schreier graphs of -shift actions
Ruijun Wang
Let be the directed Schreier graph on the free part of the Bernoulli shift , with arcs in the two coordinate…
math.LO2026
Borel Kernels in Borel Directed Graphs
Ruijun Wang
We prove that there is a Borel quasi-kernel in any locally countable Borel directed graph with finite Borel chromatic number. We prove that the Borel chromatic number of a Borel di…