Add to ORKGAbstract. SL2-tilings were introduced by Assem, Reutenauer, and Smith in connection with frieses and their applications to cluster algebras. An SL2-tiling is a bi-infinite matrix of positive integers such that each adjacent 2 × 2–submatrix has determinant 1. In this paper we define the class of SL2-tilings with enough ones. It contains the previously known tilings as well as some which are new, and we show that it is in bijection with a certain class of combinatorial objects, namely “good ” triangulations of the strip. 1
Fock and Goncharov introduced a family of cluster algebras associated with the moduli of SL(k)-local...
AbstractTilings of the discrete plane Z2 generated by quasi-linear transformations (QLT) have been i...
Publisher Copyright: © 2022 The AuthorA line packing is optimal if its coherence is as small as poss...
We define a family of generalizations of SL2-tilings to higher dimensions called epsilon-SL2-tilings...
We define a family of generalizations of SL_2 -tilings to higher dimensions called e-SL2 -tilings. ...
We define a family of generalizations of SL2-tilings to higher dimensions called ϵ-SL2-tilings. We s...
We extend our previous results on the connection between strip tiling problems and regular grammars ...
Abstract In this paper, we introduce the tilings of a 2×n "triangular strip" with triangle...
Bodeen et al. recently considered a new combinatorial tiling problem wherein a “strip ” is tiled usi...
AbstractWe extend our previous results on the connection between strip tiling problems and regular g...
The problem of classifying all tile-k-transitive tilings of the infinite 2-dimensional ribbon (and p...
2-Periodic self-dual tilings are important in fields ranging from crystal chemistry to mathematical ...
Propp recently introduced regions in the hexagonal grid called benzels and stated several enumerativ...
AbstractConsider the 2n-by-2n matrix M=(mi,j)i,j=12n with mi,j=1 for i,j satisfying |2i−2n−1|+|2j−2n...
Combinatorics is the field of mathematics studying the combination and permutation of sets of elemen...
Fock and Goncharov introduced a family of cluster algebras associated with the moduli of SL(k)-local...
AbstractTilings of the discrete plane Z2 generated by quasi-linear transformations (QLT) have been i...
Publisher Copyright: © 2022 The AuthorA line packing is optimal if its coherence is as small as poss...
We define a family of generalizations of SL2-tilings to higher dimensions called epsilon-SL2-tilings...
We define a family of generalizations of SL_2 -tilings to higher dimensions called e-SL2 -tilings. ...
We define a family of generalizations of SL2-tilings to higher dimensions called ϵ-SL2-tilings. We s...
We extend our previous results on the connection between strip tiling problems and regular grammars ...
Abstract In this paper, we introduce the tilings of a 2×n "triangular strip" with triangle...
Bodeen et al. recently considered a new combinatorial tiling problem wherein a “strip ” is tiled usi...
AbstractWe extend our previous results on the connection between strip tiling problems and regular g...
The problem of classifying all tile-k-transitive tilings of the infinite 2-dimensional ribbon (and p...
2-Periodic self-dual tilings are important in fields ranging from crystal chemistry to mathematical ...
Propp recently introduced regions in the hexagonal grid called benzels and stated several enumerativ...
AbstractConsider the 2n-by-2n matrix M=(mi,j)i,j=12n with mi,j=1 for i,j satisfying |2i−2n−1|+|2j−2n...
Combinatorics is the field of mathematics studying the combination and permutation of sets of elemen...
Fock and Goncharov introduced a family of cluster algebras associated with the moduli of SL(k)-local...
AbstractTilings of the discrete plane Z2 generated by quasi-linear transformations (QLT) have been i...
Publisher Copyright: © 2022 The AuthorA line packing is optimal if its coherence is as small as poss...