
Several ways to apply a (multivalued) multiargument function to a family of filters ★★★
Author(s): Porton

1. The funcoid corresponding to this function (considered as a single argument function on indexed families) applied to the reloidal product of filters .
2. The funcoid corresponding to this function (considered as a single argument function on indexed families) applied to the starred reloidal product of filters .
3. .
Keywords: funcoid; function; multifuncoid; staroid
Multicolour Erdős--Hajnal Conjecture ★★★










Keywords: ramsey theory
Sidorenko's Conjecture ★★★
Author(s): Sidorenko





Keywords: density problems; extremal combinatorics; homomorphism
Edge-Unfolding Convex Polyhedra ★★
Author(s): Shephard
Singmaster's conjecture ★★
Author(s): Singmaster

The number appears once in Pascal's triangle,
appears twice,
appears three times, and
appears
times. There are infinite families of numbers known to appear
times. The only number known to appear
times is
. It is not known whether any number appears more than
times. The conjectured upper bound could be
; Singmaster thought it might be
or
. See Singmaster's conjecture.
Keywords: Pascal's triangle