20 citations · 20 across the 5 of their papers we have counts for
5 papers
Average-Rare Order Ideals in Functional Preorders
Masahiro Hachimori, Kenji Kashiwabara
We prove that for the preorder induced by a function f: V -> V, the family of all order ideals is average-rare, that is, its normalized degree sum (nds) is nonpositive. As a base c…
On the Averaging Problem of Ideal Families Related to Frankl's Conjecture with Formal Proof by Lean 4
Masahiro Hachimori, Kenji Kashiwabara
Frankl's conjecture, also known as the union-closed sets conjecture, can be equivalently expressed in terms of intersection-closed set families by considering the complements of se…
The root distributions of Ehrhart polynomials of free sums of reflexive polytopes
Masahiro Hachimori, Akihiro Higashitani, Yumi Yamada
In this paper, we study the root distributions of Ehrhart polynomials of free sums of certain reflexive polytopes. We investigate cases where the roots of the Ehrhart polynomials o…
Signature codes for weighted binary adder channel and multimedia fingerprinting
Jinping Fan, Yujie Gu, Masahiro Hachimori +1
In this paper, we study the signature codes for weighted binary adder channel (WbAC) and collusion-resistant multimedia fingerprinting. Let denote the maximum cardinality…
Obstructions to shellability, partitionability, and sequential Cohen-Macaulayness
Masahiro Hachimori, Kenji Kashiwabara
For a property of simplicial complexes, a simplicial complex is an obstruction to if itself does not satisfy but all of its proper restrictions s…