Takayuki Hibi

Algebra and Number Theory · 2000–2016

A researcher in the Science corpus: 22 papers; trusts 10 researchers and is trusted by 29 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 45 citations into it; #217 of 2,864 by trust here, #98 by citations
• Computational Theory and Mathematics — 30 citations into it; #1,241 of 12,182 by trust here, #1,068 by citations
• Geometry and Topology — 26 citations into it; #1,457 of 7,422 by trust here, #726 by citations
• Discrete Mathematics and Combinatorics — 10 citations into it; #595 of 2,017 by trust here, #536 by citations

Whom Takayuki Hibi trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Jürgen Herzog
2. Hidefumi Ohsugi
3. Xinxian Zheng
4. Adam Van Tuyl
5. Aldo Conca
6. Sara Faridi
7. Huy Tài Hà
8. Manoj Kummini
9. Russ Woodroofe
10. Akimichi Takemura

Who trusts Takayuki Hibi overall

1. Jürgen Herzog
2. Susan Morey
3. Huy Tài Hà
4. Adam Van Tuyl
5. Asia Rauf
6. Nguyên Công Minh
7. Ngô Viêt Trung
8. Giancarlo Rinaldo
9. Hidefumi Ohsugi
10. A. Corso

Papers from Takayuki Hibi's perspective

Ordered by how strongly the researchers Takayuki Hibi trusts endorse each paper. Same corpus, a different order for every researcher.

1. Resolutions of Facet Ideals
2. The facet ideal of a simplicial complex
3. Resolutions by mapping cones
4. A Note on Rees Algebras and the MFMC Property
5. Blowup algebras of ideals of vertex covers of bipartite graphs
6. Discrete Polymatroids
7. Ideals with Stable Betti Numbers
8. Sequentially Cohen–Macaulay bipartite graphs: vertex decomposability and regularity
9. Regularity, depth and arithmetic rank of bipartite edge ideals
10. Resolutions of square-free monomial ideals via facet ideals: a survey

Their papers

• Distributive Lattices, Bipartite Graphs and Alexander Duality (2003) — 214 citations
• Standard graded vertex cover algebras, cycles and leaves (2006) — 78 citations
• Monomial ideals whose powers have a linear resolution (2003) — 181 citations
• The depth of powers of an ideal (2004) — 172 citations
• Ideals with Stable Betti Numbers (2000) — 82 citations
• Symbolic powers of monomial ideals and vertex cover algebras (2005) — 169 citations
• Compressed polytopes, initial ideals and complete multipartite graphs (2000) — 56 citations
• Algebraic study on Cameron-Walker graphs (2013) — 74 citations
• INDISPENSABLE BINOMIALS OF FINITE GRAPHS (2005) — 49 citations
• Cohen-Macaulay binomial edge ideals (2010) — 146 citations
• Unimodular equivalence of order and chain polytopes (2012) — 47 citations
• The trace of the canonical module (2016) — 119 citations
• Roots of Ehrhart polynomials arising from graphs (2010) — 65 citations
• Toric Ideals Arising from Contingency Tables (2007) — 55 citations
• Ideals of fiber type and polymatroids (2005) — 68 citations
• Rigid resolutions and big Betti numbers (2003) — 49 citations
• Resolutions of a-stable ideals (2002) — 53 citations
• Discrete Polymatroids (2002) — 58 citations
• Convex polytopes all of whose reverse lexicographic initial ideals are squarefree (2001) — 76 citations
• Strongly Koszul algebras (2000) — 67 citations