Takayuki Hibi
- Binomial edge ideals and conditional independence statements
2009/09/25 by Juergen Herzog, Takayuki Hibi, Herzog, Juergen +7 · 17 citations
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Polynomial and algebraic computation #Computational Drug Discovery Methods
- Monomial ideals whose powers have a linear resolution
2003/07/16 by Juergen Herzog, Takayuki Hibi, Herzog, Juergen +3 · 11 citations
Mathematics · #13C99 #13D02 #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA) #math.AC #math.RA #msc:13C99 #msc:13D02
- Dirac's theorem on chordal graphs and Alexander duality
2003/07/16 by Jürgen Herzog, Takayuki Hibi, Herzog, Jürgen +3 · 3 citations
Mathematics · #13A02 #13F55 #55U30 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.CO #msc:13A02 #msc:13F55 #msc:55U30
- Cohen-Macaulay chordal graphs
2004/07/22 by Juergen Herzog, Herzog, Juergen, Takayuki Hibi +3 · 3 citations
Mathematics · #13A02 #13D02 #13D40 #13P10 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.CO #msc:13A02 #msc:13D02 #msc:13D40 #msc:13P10
- The depth of powers of an ideal
2004/09/10 by Juergen Herzog, Takayuki Hibi, Herzog, Juergen +1 · 3 citations
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation #math.AC #math.CO #msc:13C15 #msc:13P10
- Symbolic powers of monomial ideals and vertex cover algebras
2005/12/18 by Juergen Herzog, Takayuki Hibi, Herzog, Juergen +3 · 3 citations
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Algebraic structures and combinatorial models #Polynomial and algebraic computation
- Unimodular equivalence of order and chain polytopes
2012/08/20 by Takayuki Hibi, Hibi, Takayuki, Nan Li +1 · 3 citations
Computer Science · Engineering · #Advanced Algebra and Logic #graph theory and CDMA systems #semigroups and automata theory
- Distributive Lattices, Bipartite Graphs and Alexander Duality
2003/07/17 by Juergen Herzog, Takayuki Hibi, Herzog, Juergen +1 · 1 citation
Computer Science · Mathematics · #05C99 #06A07 #06D99 #13F55 #13H10 #Advanced Algebra and Logic #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras #math.AC #math.CO #msc:05C99 #msc:06A07 #msc:06D99 #msc:13F55 #msc:13H10
- Rigid resolutions and big Betti numbers
2003/06/16 by Aldo Conca, Conca, Aldo, Juergen Herzog +3 · 1 citation
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation #math.AC #msc:13D02
- Cohen-Macaulay Polymatroidal Ideals
2004/09/07 by Juergen Herzog, Takayuki Hibi, Herzog, Juergen +1 · 1 citation
Mathematics · #05B35 #13C14 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.CO #msc:05B35 #msc:13C14
- Gotzmann ideals of the polynomial ring
2007/03/21 by Satoshi Murai, Murai, Satoshi, Takayuki Hibi +1 · 1 citation
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Polynomial and algebraic computation #Algebraic Geometry and Number Theory
- Chain polytopes and algebras with straightening laws
2012/07/11 by Takayuki Hibi, Nan Li, Hibi, Takayuki +1 · 1 citation
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Advanced Combinatorial Mathematics #Polynomial and algebraic computation
- Regularity and h-polynomials of binomial edge ideals
2018/08/21 by Takayuki Hibi, Kazunori Matsuda, Hibi, Takayuki +1 · 1 citation
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Polynomial and algebraic computation #Algebraic Geometry and Number Theory
- Matchings and squarefree powers of edge ideals
2019/09/25 by Nursel Erey, Jürgen Herzog, Erey, Nursel +5 · 1 citation
Mathematics · #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
- Rings of Teter type
2021/12/08 by Oleksandra Gasanova, Gasanova, Oleksandra, Jürgen Herzog +5 · 1 citation
Mathematics · #13H10 #13M05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics
- Scarf complexes of graphs and their powers
2024/03/08 by Sara Faridi, Huy Tài Hà, Faridi, Sara +5 · 1 citation
Chemistry · Computer Science · Mathematics · #Axial and Atropisomeric Chirality Synthesis #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #Graph theory and applications #Topological and Geometric Data Analysis
- Bounded powers of edge ideals: regularity and linear quotients
2025/02/03 by Takayuki Hibi, Hibi, Takayuki, S. A. Seyed Fakhari +1 · 3 citations
Mathematics · #Commutative Algebra and Its Applications #Rings, Modules, and Algebras
- Prime and Cohen--Macaulay binomial ideals with linear resolution
2026/07/24 by Takayuki Hibi, Ayesha Asloob Qureshi, Sara Saeedi Madani
#math.AC
- Regularity and depth of binomial ideals arising from combinatorics
2026/07/21 by Takayuki Hibi, Seyed Amin Seyed Fakhari
#math.AC #math.CO