What is he best known for?
The fields of study he is best known for:
- Combinatorics
- Algebra
- Discrete mathematics
His scientific interests lie mostly in Combinatorics, Discrete mathematics, Pure mathematics, Monomial and Polynomial ring.
His work on Monomial ideal expands to the thematically related Combinatorics.
His Discrete mathematics research incorporates elements of Function and Limit.
His work on Semigroup as part of general Pure mathematics study is frequently connected to Lie coalgebra, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.
His Monomial study integrates concerns from other disciplines, such as Type, Ideal and Field.
His studies deal with areas such as Subalgebra and Vertex as well as Polynomial ring.
His most cited work include:
- Monomial Ideals (499 citations)
- Binomial edge ideals and conditional independence statements (192 citations)
- Componentwise linear ideals (181 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Combinatorics, Discrete mathematics, Polytope, Pure mathematics and Ideal.
His Combinatorics research integrates issues from Ring and Polynomial ring.
His study looks at the intersection of Polynomial ring and topics like Monomial with Square-free integer, Resolution and Vertex cover.
In general Discrete mathematics study, his work on Betti number often relates to the realm of Birkhoff polytope, thereby connecting several areas of interest.
Takayuki Hibi studied Polytope and Unimodular matrix that intersect with Triangulation.
In Pure mathematics, Takayuki Hibi works on issues like Monomial ideal, which are connected to Simplicial complex.
He most often published in these fields:
- Combinatorics (69.81%)
- Discrete mathematics (29.11%)
- Polytope (26.42%)
What were the highlights of his more recent work (between 2015-2021)?
- Combinatorics (69.81%)
- Polytope (26.42%)
- Ideal (14.29%)
In recent papers he was focusing on the following fields of study:
Takayuki Hibi mainly investigates Combinatorics, Polytope, Ideal, Edge and Simple graph.
Takayuki Hibi combines subjects such as Ring and Polynomial ring with his study of Combinatorics.
His Polynomial ring study which covers Monomial that intersects with Monomial ideal.
He interconnects Lattice, Independent set and Regular polygon in the investigation of issues within Polytope.
His studies examine the connections between Lattice and genetics, as well as such issues in Discrete mathematics, with regards to Pure mathematics.
As a member of one scientific family, Takayuki Hibi mostly works in the field of Edge, focusing on Upper and lower bounds and, on occasion, Square-free integer, Rees algebra and Ideal.
Between 2015 and 2021, his most popular works were:
- Unimodular Equivalence of Order and Chain Polytopes (23 citations)
- The trace of the canonical module (22 citations)
- REVERSE LEXICOGRAPHIC SQUAREFREE INITIAL IDEALS AND GORENSTEIN FANO POLYTOPES (18 citations)
In his most recent research, the most cited papers focused on:
- Combinatorics
- Algebra
- Discrete mathematics
His scientific interests lie mostly in Combinatorics, Polytope, Partially ordered set, Square-free integer and Pure mathematics.
His work carried out in the field of Combinatorics brings together such families of science as Simple and Polynomial ring.
His Polytope study combines topics from a wide range of disciplines, such as Algebraic number, Fano plane and Lexicographical order.
His research in Partially ordered set intersects with topics in Chain, Unimodular matrix, Independent set, Characterization and Order.
His Square-free integer research is multidisciplinary, incorporating elements of Maximal ideal and Tensor product.
His Pure mathematics research is multidisciplinary, relying on both Discrete mathematics, Matrix, Gröbner basis and Prime.
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