Add to ORKGWe get four quartered Aztec diamonds by dividing an Aztec diamond region by two zigzag cuts passing its center. W. Jockusch and J. Propp (in an unpublished work) found that the number of tilings of quartered Aztec diamonds is given by simple product formulas. In this paper we present a simple proof for this result
We show how to count tilings of Aztec diamonds and hexagons with defects using determinants. In seve...
We give a bijective proof of the Aztec diamond theorem, stating that there are 2n(n+1)/2 domino tili...
36 pages, 22 figuresWe introduce a family of domino tilings that includes tilings of the Aztec diamo...
We get four quartered Aztec diamonds by dividing an Aztec diamond region by two zigzag cuts passing ...
We generalize a theorem of W. Jockusch and J. Propp on quartered Aztec diamonds by enumerating the t...
We consider a new family of 4-vertex regions with zigzag boundary on the square lattice with diagona...
Imagine you have a cutout from a piece of squared paper and a pile of dominoes, each of which can co...
AbstractIn this paper, we continue the study of domino-tilings of Aztec diamonds. In particular, we ...
We consider a new family of 4-vertex regions with zigzag boundary on the square lattice with diagona...
Tilings over the plane are analysed in this work, making a special focus on the Aztec Diamond Theore...
AbstractThe Aztec diamond of order n is a certain configuration of 2n(n+1) unit squares. We give a n...
In the Introduction, we present the problems we are going to study and we establish the basic defini...
Abstract. We introduce a family of domino tilings that includes tilings of the Aztec diamond and pyr...
Imagine you have a cutout from a piece of squared paper and a pile of dominoes, each of which can co...
We consider several new families of subgraphs of the square grid whose matchings are enumerated by p...
We show how to count tilings of Aztec diamonds and hexagons with defects using determinants. In seve...
We give a bijective proof of the Aztec diamond theorem, stating that there are 2n(n+1)/2 domino tili...
36 pages, 22 figuresWe introduce a family of domino tilings that includes tilings of the Aztec diamo...
We get four quartered Aztec diamonds by dividing an Aztec diamond region by two zigzag cuts passing ...
We generalize a theorem of W. Jockusch and J. Propp on quartered Aztec diamonds by enumerating the t...
We consider a new family of 4-vertex regions with zigzag boundary on the square lattice with diagona...
Imagine you have a cutout from a piece of squared paper and a pile of dominoes, each of which can co...
AbstractIn this paper, we continue the study of domino-tilings of Aztec diamonds. In particular, we ...
We consider a new family of 4-vertex regions with zigzag boundary on the square lattice with diagona...
Tilings over the plane are analysed in this work, making a special focus on the Aztec Diamond Theore...
AbstractThe Aztec diamond of order n is a certain configuration of 2n(n+1) unit squares. We give a n...
In the Introduction, we present the problems we are going to study and we establish the basic defini...
Abstract. We introduce a family of domino tilings that includes tilings of the Aztec diamond and pyr...
Imagine you have a cutout from a piece of squared paper and a pile of dominoes, each of which can co...
We consider several new families of subgraphs of the square grid whose matchings are enumerated by p...
We show how to count tilings of Aztec diamonds and hexagons with defects using determinants. In seve...
We give a bijective proof of the Aztec diamond theorem, stating that there are 2n(n+1)/2 domino tili...
36 pages, 22 figuresWe introduce a family of domino tilings that includes tilings of the Aztec diamo...