38 citations · 129 across the 36 of their papers we have counts for
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math.CO1998
The equivalence between enumerating cyclically symmetric, self-complementary and totally symmetric, self-complementary plane partitions
Mihai Ciucu
We prove that the number of cyclically symmetric, self-complementary plane partitions contained in a cube of side equals the square of the number of totally symmetric, self-co…
math.CO1998★ 24 cited
Plane partitions II: 5 1/2 symmetry classes
Mihai Ciucu, Christian Krattenthaler
We present new, simple proofs for the enumeration of five of the ten symmetry classes of plane partitions contained in a given box. Four of them are derived from a simple determina…
math.CO1998★ 30 cited
Plane partitions I: a generalization of MacMahon's formula
Mihai Ciucu
The number of plane partitions contained in a given box was shown by MacMahon to be given by a simple product formula. By a simple bijection, this formula also enumerates lozenge t…