What is he best known for?
The fields of study he is best known for:
- Algorithm
- Combinatorics
- Geometry
Hiroshi Imai spends much of his time researching Combinatorics, Discrete mathematics, Algorithm, Mathematical optimization and Computational geometry.
He combines subjects such as Weighted Voronoi diagram, Bell's theorem, Convex polytope and Polygon with his study of Combinatorics.
His study in Fisher information extends to Discrete mathematics with its themes.
His Algorithm research integrates issues from Polygonal chain, Piecewise linear function, Sequence and K shortest path routing.
In general Mathematical optimization study, his work on Search algorithm, Combinatorial optimization and Local search often relates to the realm of Nurse scheduling problem, thereby connecting several areas of interest.
His study in Computational geometry is interdisciplinary in nature, drawing from both Voronoi diagram and Plane.
His most cited work include:
- Applications of weighted Voronoi diagrams and randomization to variance-based k-clustering: (extended abstract) (261 citations)
- VORONOI DIAGRAM IN THE LAGUERRE GEOMETRY AND ITS APPLICATIONS (181 citations)
- Polygonal Approximations of a Curve — Formulations and Algorithms (172 citations)
What are the main themes of his work throughout his whole career to date?
The scientist’s investigation covers issues in Combinatorics, Discrete mathematics, Algorithm, Voronoi diagram and Theoretical computer science.
His Combinatorics research includes elements of Convex polytope and Regular polygon.
His Discrete mathematics study incorporates themes from Quantum finite automata and Binary decision diagram.
Hiroshi Imai interconnects Sequence and Shortest path problem in the investigation of issues within Algorithm.
His Voronoi diagram research is multidisciplinary, incorporating perspectives in Quantum state, Computational geometry and Divergence.
His studies link Centroidal Voronoi tessellation with Power diagram.
He most often published in these fields:
- Combinatorics (31.43%)
- Discrete mathematics (27.76%)
- Algorithm (19.18%)
What were the highlights of his more recent work (between 2005-2021)?
- Discrete mathematics (27.76%)
- Combinatorics (31.43%)
- Voronoi diagram (11.84%)
In recent papers he was focusing on the following fields of study:
Hiroshi Imai focuses on Discrete mathematics, Combinatorics, Voronoi diagram, Algorithm and Quantum state.
His Discrete mathematics research is multidisciplinary, incorporating elements of Flow, Elliptic curve cryptography and Computational geometry.
The Combinatorics study combines topics in areas such as Facet, Hamming weight and Regular polygon.
Hiroshi Imai has included themes like Geodesic, Motion planning and Pure mathematics in his Voronoi diagram study.
His Algorithm research incorporates elements of Binary number, Graph and Scalar multiplication.
His research integrates issues of Statistical physics and Qubit in his study of Quantum state.
Between 2005 and 2021, his most popular works were:
- A fibre bundle over manifolds of quantum channels and its application to quantum statistics (88 citations)
- On the relationship between convex bodies related to correlation experiments with dichotomic observables (49 citations)
- Quantum network coding for quantum repeaters (43 citations)
In his most recent research, the most cited papers focused on:
- Algorithm
- Combinatorics
- Geometry
Combinatorics, Voronoi diagram, Quantum algorithm, Discrete mathematics and Pure mathematics are his primary areas of study.
His Combinatorics study integrates concerns from other disciplines, such as Regular polygon, Semidefinite programming and Quantum correlation.
His biological study spans a wide range of topics, including Quantum state, Voltage graph and Qubit.
His research investigates the connection between Quantum algorithm and topics such as Quantum capacity that intersect with problems in Quantum error correction and Quantum channel.
Hiroshi Imai specializes in Discrete mathematics, namely Geometric graph theory.
His studies deal with areas such as Isotropy, Inequality and Observable as well as Pure mathematics.
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