1 citations · 2 across the 4 of their papers we have counts for
4 papers
On the relations of isotonian algebras
Jürgen Herzog, Ayesha Asloob Qureshi, Akihiro Shikama
It is shown that for large classes of posets and , the defining ideal of an isotonian algebras is generated by squarefree binomials. Within these classes, those po…
Simple Polyominoes are Prime
Ayesha Asloob Qureshi, Takafumi Shibuta, Akihiro Shikama
In this paper we show that polyomino ideal of a simple polyomino coincides with the toric ideal of a weakly chordal bipartite graph and hence it has a quadratic Gröbner basis with…
Decomposable edge polytopes of finite graphs
Atsushi Funato, Nan Li, Akihiro Shikama
Edge polytopes is a class of interesting polytope with rich algebraic and combinatorial properties, which was introduced by Ohsugi and Hibi. In this papar, we follow a previous stu…
Gröbner bases of balanced polyominoes
Jürgen Herzog, Ayesha Asloob Qureshi, Akihiro Shikama
We introduce balanced polyominoes and show that their ideal of inner minors is a prime ideal and has a quadratic Gröbner basis with respect to any monomial order, and we show that…