Research Output per year

## Fingerprint Dive into the research topics where Satoshi Murai is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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Simplicial Complex
Mathematics

Hilbert Function
Mathematics

Betti numbers
Mathematics

Polynomial ring
Mathematics

Monomial Ideals
Mathematics

Polytopes
Mathematics

F-vector
Mathematics

Graded Betti numbers
Mathematics

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## Research Output 2006 2019

## Exceptional Balanced Triangulations on Surfaces

Klee, S., Murai, S. & Suzuki, Y., 2019 Jan 1, (Accepted/In press) In : Graphs and Combinatorics.Research output: Contribution to journal › Article

Triangulation

Closed

Exception

Flip

Genus

## Hessenberg varieties and hyperplane arrangements

Abe, T., Horiguchi, T., Masuda, M., Murai, S. & Sato, T., 2019 Jan 1, (Accepted/In press) In : Journal fur die Reine und Angewandte Mathematik.Research output: Contribution to journal › Article

Hyperplane Arrangement

Si

Algebra

Polynomials

Semisimple

1
Citation
(Scopus)

## The Numbers of Edges of 5-Polytopes with a Given Number of Vertices

Kusunoki, T. & Murai, S., 2019 Jan 1, In : Annals of Combinatorics.Research output: Contribution to journal › Article

F-vector

Polytopes

Convex Polytope

Face

Invariant

2
Citations
(Scopus)

## Balanced generalized lower bound inequality for simplicial polytopes

Juhnke-Kubitzke, M. & Murai, S., 2018 Apr 1, In : Selecta Mathematica, New Series. 24, 2, p. 1677-1689 13 p.Research output: Contribution to journal › Article

polytopes

Polytopes

Lower bound

Unimodality

Polytope

1
Citation
(Scopus)

## Balanced subdivisions and flips on surfaces

Murai, S. & Suzuki, Y., 2018 Jan 1, In : Proceedings of the American Mathematical Society. 146, 3, p. 939-951 13 p.Research output: Contribution to journal › Article

Triangulation

Flip

Subdivision

Welds

Pentagon