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math.CO2026
Probabilistic and game thresholds
Rajko Nenadov
Let be a finite set and a non-trivial increasing property. We show that the bias-threshold for the Picker-Chooser -gam…
math.CO2026
Poset dimension and maximum comparability degree
Carla Groenland, Richard Montgomery, Rajko Nenadov +1
In 1986, Füredi and Kahn showed that the dimension of any finite poset satisfies , where is the maximum degree of the comparability graph…
math.CO2026
The typical structure of sets with large sumset
Rajko Nenadov, Lander Verlinde
Given and a -random subset , we asymptotically determine for above the threshold…
math.PR2026
The critical activation density in graph bootstrap percolation
Brett Kolesnik, Tamás Makai, Rajko Nenadov +3
In graph bootstrap percolation, edges of an Erdős-Rényi random graph are initially active, and activation spreads to other edges of via the combinatorics…