Geodesic
Linearly related polyominoes
Journal of Algebraic Combinatorics, Tome 41 (2015) no. 4, pp. 949-968.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We classify all convex polyomino ideals which are linearly related or have a linear resolution. Convex stack polyominoes whose ideals are extremal Gorenstein are also classified. In addition, we characterize, in combinatorial terms, the distributive lattices whose join-meet ideals are extremal Gorenstein or have a linear resolution.
Classification : 13C05, 05E40, 13P10, 05B50
Keywords: binomial ideals, linear syzygies, polyominoes 
@article{JAC_2015__41_4_a10,
     author = {Ene, Viviana and Herzog, J\"urgen and Hibi, Takayuki},
     title = {Linearly related polyominoes},
     journal = {Journal of Algebraic Combinatorics},
     pages = {949--968},
     publisher = {mathdoc},
     volume = {41},
     number = {4},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2015__41_4_a10/}
}
TY  - JOUR
AU  - Ene, Viviana
AU  - Herzog, Jürgen
AU  - Hibi, Takayuki
TI  - Linearly related polyominoes
JO  - Journal of Algebraic Combinatorics
PY  - 2015
SP  - 949
EP  - 968
VL  - 41
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JAC_2015__41_4_a10/
LA  - en
ID  - JAC_2015__41_4_a10
ER  - 
%0 Journal Article
%A Ene, Viviana
%A Herzog, Jürgen
%A Hibi, Takayuki
%T Linearly related polyominoes
%J Journal of Algebraic Combinatorics
%D 2015
%P 949-968
%V 41
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JAC_2015__41_4_a10/
%G en
%F JAC_2015__41_4_a10
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki. Linearly related polyominoes. Journal of Algebraic Combinatorics, Tome 41 (2015) no. 4, pp. 949-968. http://geodesic.mathdoc.fr/item/JAC_2015__41_4_a10/