
Morrison, Natasha
Weak saturation of the cube in the clique ★
Problem
Determine .
Keywords: bootstrap percolation; hypercube; Weak saturation
Extremal $4$-Neighbour Bootstrap Percolation in the Hypercube ★★
Problem Determine the smallest percolating set for the
-neighbour bootstrap process in the hypercube.

Keywords: bootstrap percolation; extremal combinatorics; hypercube; percolation
Saturation in the Hypercube ★★
Author(s): Morrison; Noel; Scott
Question What is the saturation number of cycles of length
in the
-dimensional hypercube?


Keywords: cycles; hypercube; minimum saturation; saturation
Saturated $k$-Sperner Systems of Minimum Size ★★
Author(s): Morrison; Noel; Scott
Question Does there exist a constant
and a function
such that if
, then every saturated
-Sperner system
has cardinality at least
?






Keywords: antichain; extremal combinatorics; minimum saturation; saturation; Sperner system
