• 216 Citations
  • 8 h-Index
20062019
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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

  • 216 Citations
  • 8 h-Index
  • 57 Article
  • 2 Paper
  • 1 Chapter
  • 1 Conference article

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 journalArticle

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 journalArticle

Hyperplane Arrangement
Si
Algebra
Polynomials
Semisimple

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 journalArticle

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 journalArticle

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 journalArticle

Triangulation
Flip
Subdivision
Welds
Pentagon