
antichain
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
Antichains in the cycle continuous order ★★
Author(s): DeVos
If ,
are graphs, a function
is called cycle-continuous if the pre-image of every element of the (binary) cycle space of
is a member of the cycle space of
.
Problem Does there exist an infinite set of graphs
so that there is no cycle continuous mapping between
and
whenever
?




