A lozenge (◊), often referred to as a diamond, is a form of rhombus. The definition of lozenge is not strictly fixed, and it is sometimes used simply… (More)

Semantic Scholar uses AI to extract papers important to this topic.

2017

2017

- David Cook, Uwe Nagel
- Electr. J. Comb.
- 2017

It is well-known that plane partitions, lozenge tilings of a hexagon, perfect matchings on a honeycomb graph, and families of non… (More)

Is this relevant?

2014

2014

- Jonathan Novak
- 2014

We give a new proof of the fact that, near a turning point of the frozen boundary, the vertical tiles in a uniformly random… (More)

Is this relevant?

2014

2014

While the field of one-dimensional constrained codes is mature, with theoretical as well as practical aspects of codeand decoder… (More)

Is this relevant?

2009

2009

- Olivier Bodini, Thomas Fernique, Eric Rémila
- DGCI
- 2009

In this paper, a structural property of the set of lozenge tilings of a 2n-gon is highlighted. We introduce a simple… (More)

Is this relevant?

2002

2002

- Mihai Ciucu, Christian Krattenthaler
- J. Comb. Theory, Ser. A
- 2002

Abstract. Motivated by the enumeration of a class of plane partitions studied by Proctor and by considerations about symmetry… (More)

Is this relevant?

2001

2001

- Mihai Ciucu, Theresia Eisenkölbl, Christian Krattenthaler, D. Zare
- J. Comb. Theory, Ser. A
- 2001

We deal with the unweighted and weighted enumerations of lozenge tilings of a hexagon with side lengths a; b + m; c; a + m; b; c… (More)

Is this relevant?

1999

1999

- Mihai Ciucu, Christian Krattenthaler
- J. Comb. Theory, Ser. A
- 1999

Abstract. Propp conjectured [15] that the number of lozenge tilings of a semiregular hexagon of sides 2n − 1, 2n − 1 and 2n which… (More)

Is this relevant?

1998

1998

- Mihai Ciucu
- J. Comb. Theory, Ser. A
- 1998

We present a combinatorial solution to the problem of determining the number of lozenge tilings of a hexagon with sides a, b + 1… (More)

Is this relevant?

Highly Cited

1997

Highly Cited

1997

We show how to combine Fourier analysis with coupling arguments to bound the mixing times of a variety of Markov chains. The… (More)

Is this relevant?

Review

1995

Review

1995

We consider tilings of quadriculated regions by dominoes and of triangulated regions by lozenges. We present an overview of… (More)

Is this relevant?