5 citations · 5 across the 2 of their papers we have counts for
8 papers · 1 filter
Rotational invariance of quadromer correlations on the hexagonal lattice
Mihai Ciucu
In 1963 Fisher and Stephenson \cite{FS} conjectured that the monomer-monomer correlation on the square lattice is rotationally invariant. In this paper we prove a closely related s…
Perfect matchings and perfect powers
Mihai Ciucu
In the last decade there have been many results about special families of graphs whose number of perfect matchings is given by perfect or near perfect powers. In this paper we pres…
Enumeration of lozenge tilings of hexagons with cut off corners
Mihai Ciucu, Christian Krattenthaler
Motivated by the enumeration of a class of plane partitions studied by Proctor and by considerations about symmetry classes of plane partitions, we consider the problem of enumerat…
A non-automatic (!) application of Gosper's algorithm evaluates a determinant from tiling enumeration
Mihai Ciucu, Christian Krattenthaler
We evaluate the determinant , which gives the number of lozenge tilings of a hexagon with cut off corners. A pa…
Enumeration of lozenge tilings of hexagons with a central triangular hole
Mihai Ciucu, Theresia Eisenkölbl, C. Krattenthaler +1
We deal with unweighted and weighted enumerations of lozenge tilings of a hexagon with side lengths , where an equilateral triangle of side length has been r…
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…