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Akihiro Shikama

Osaka University

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Journal of Algebra and Its Applications | 2016

Alexander duality for monomial ideals associated with isotone maps between posets

Juergen Herzog; Ayesha Asloob Qureshi; Akihiro Shikama

For a pair

Ars Mathematica Contemporanea | 2016

The number of edges of the edge polytope of a finite simple graph

Takayuki Hibi; Aki Mori; Hidefumi Ohsugi; Akihiro Shikama

(P,Q)

Discrete Mathematics | 2017

The numbers of edges of the order polytope and the chain polytope of a finite partially ordered set

Takayuki Hibi; Nan Li; Yoshimi Sahara; Akihiro Shikama

of finite posets the generators of the ideal

Journal of Commutative Algebra | 2018

Toric representations of algebras defined by certain nonsimple polyominoes

Akihiro Shikama

L(P,Q)

Archive | 2017

The Smallest Normal Edge Polytopes with No Regular Unimodular Triangulations

Ginji Hamano; Takuji Hayashi; Takayuki Hibi; Koichi Hirayama; Hidefumi Ohsugi; Kei Sato; Akihiro Shikama; Akiyoshi Tsuchiya

correspond bijectively to the isotone maps from

Journal of Algebra | 2014

Many toric ideals generated by quadratic binomials possess no quadratic Gröbner bases

Takayuki Hibi; Kenta Nishiyama; Hidefumi Ohsugi; Akihiro Shikama

P

Journal of Commutative Algebra | 2017

Simple polyominoes are prime

Ayesha Asloob Qureshi; Takafumi Shibuta; Akihiro Shikama

to

Mathematische Nachrichten | 2015

Gröbner bases of balanced polyominoes

Jürgen Herzog; Ayesha Asloob Qureshi; Akihiro Shikama

Q

arXiv: Commutative Algebra | 2017

On the relations of isotonian algebras

Jürgen Herzog; Ayesha Asloob Qureshi; Akihiro Shikama

. In this note we determine all pairs

arXiv: Combinatorics | 2015

Multibasic Ehrhart theory

Aki Mori; Takeshi Morita; Akihiro Shikama

(P,Q)

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