3 papers
math.CO2026
Young domination on Hamming rectangles
Janko Gravner, Matjaž Krnc, Martin MilaniÄ +1
We introduce a family of domination-type problems in Cartesian products of two graphs. The framework captures several well-studied topics, including variants of bootstrap percolati…
math.PR2025
Two-stage Bootstrap Percolation
Zihao Fang, Janko Gravner, David Sivakoff
We introduce and study two variants of two-stage growth dynamics in with state space . In each variant, vertices in state can be change…
math.PR2025
Polluted Modified Bootstrap Percolation
Janko Gravner, Alexander Holroyd, Sangchul Lee +1
In the polluted modified bootstrap percolation model, sites in the square lattice are independently initially occupied with probability or closed with probability . A site b…