Akihiro Shikama

Alexander duality for monomial ideals associated with isotone maps between posets

For a pair

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

(P,Q)

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

of finite posets the generators of the ideal

Toric representations of algebras defined by certain nonsimple polyominoes

L(P,Q)

The Smallest Normal Edge Polytopes with No Regular Unimodular Triangulations

correspond bijectively to the isotone maps from

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

P

Simple polyominoes are prime

to

Gröbner bases of balanced polyominoes

Q

On the relations of isotonian algebras

. In this note we determine all pairs

Multibasic Ehrhart theory

(P,Q)