(eng) We first prove that the set of domino tilings of a fixed finite figure is a distributive lattice, even in the case when the figure has holes. Afterwards, we give a geometrical interpretation of the order given by this lattice. We extend these results to other types of tilings (calisson tilings, tilings with bicolored Wang tiles)
In this paper we enumerate domino tilings of an Aztec rectangle with arbitrary defects of size one o...
In this paper we enumerate domino tilings of an Aztec rectangle with arbitrary defects of size one o...
International audienceThe Undecidability of the Domino ProblemEmmanuel Jeandel and Pascal VanierOne ...
We first prove that the set of domino tilings of a fixed finite figure is a distributive lattice, ev...
We first prove that the set of domino tilings of a fixed finite figure is a distributive lattice, ev...
AbstractWe first prove that the set of domino tilings of a fixed finite figure is a distributive lat...
(eng) Many tiling spaces such as domino tilings of fixed figures have an underlying lattice structur...
. Let P be a graded poset with 0 and 1 and rank at least 3. Assume that every rank 3 interval is a d...
Rapport interne.Many tiling spaces such as domino tilings of fixed figures have an underlying lattic...
International audienceThis paper proposes a representation theory for any finite lattice via set-col...
International audienceThis paper proposes a representation theory for any finite lattice via set-col...
International audienceThis paper proposes a representation theory for any finite lattice via set-col...
(eng) A lot of progress has been made in tiling theory in the last ten years after Thurston (\cite{T...
(eng) In this paper, we introduce a generalization of a class of tilings which appear in the literat...
AbstractWe consider the problem of tiling a plane picture with dominoes, this picture can be with ho...
In this paper we enumerate domino tilings of an Aztec rectangle with arbitrary defects of size one o...
In this paper we enumerate domino tilings of an Aztec rectangle with arbitrary defects of size one o...
International audienceThe Undecidability of the Domino ProblemEmmanuel Jeandel and Pascal VanierOne ...
We first prove that the set of domino tilings of a fixed finite figure is a distributive lattice, ev...
We first prove that the set of domino tilings of a fixed finite figure is a distributive lattice, ev...
AbstractWe first prove that the set of domino tilings of a fixed finite figure is a distributive lat...
(eng) Many tiling spaces such as domino tilings of fixed figures have an underlying lattice structur...
. Let P be a graded poset with 0 and 1 and rank at least 3. Assume that every rank 3 interval is a d...
Rapport interne.Many tiling spaces such as domino tilings of fixed figures have an underlying lattic...
International audienceThis paper proposes a representation theory for any finite lattice via set-col...
International audienceThis paper proposes a representation theory for any finite lattice via set-col...
International audienceThis paper proposes a representation theory for any finite lattice via set-col...
(eng) A lot of progress has been made in tiling theory in the last ten years after Thurston (\cite{T...
(eng) In this paper, we introduce a generalization of a class of tilings which appear in the literat...
AbstractWe consider the problem of tiling a plane picture with dominoes, this picture can be with ho...
In this paper we enumerate domino tilings of an Aztec rectangle with arbitrary defects of size one o...
In this paper we enumerate domino tilings of an Aztec rectangle with arbitrary defects of size one o...
International audienceThe Undecidability of the Domino ProblemEmmanuel Jeandel and Pascal VanierOne ...