D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 41 Citations 5,847 180 World Ranking 981 National Ranking 62
Engineering and Technology D-index 38 Citations 5,305 160 World Ranking 2859 National Ranking 211

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

Overview

What is he best known for?

The fields of study he is best known for:

  • Combinatorics
  • Geometry
  • Algebra

Combinatorics, Convex hull, Discrete mathematics, Polytope and Convex polytope are his primary areas of study. His biological study spans a wide range of topics, including Point, Regular polygon, Convex body and Convex set. His biological study deals with issues like Convex analysis, which deal with fields such as Subderivative.

His Convex hull study deals with Integer programming intersecting with Operations research, Dynamic programming and Simple. His Discrete mathematics study combines topics from a wide range of disciplines, such as Normal distribution, Central limit theorem, Polyhedral combinatorics and Tverberg's theorem. His study focuses on the intersection of Convex polytope and fields such as Orthogonal convex hull with connections in the field of Krein–Milman theorem.

His most cited work include:

  • A generalization of carathéodory's theorem (233 citations)
  • Strong Formulations for Multi-Item Capacitated Lot Sizing (219 citations)
  • Uncapacitated lot-sizing: The convex hull of solutions (174 citations)

What are the main themes of his work throughout his whole career to date?

Imre Bárány spends much of his time researching Combinatorics, Discrete mathematics, Regular polygon, Convex hull and Convex set. The Combinatorics study combines topics in areas such as Plane, Convex polytope and Convex body. His Discrete mathematics research is multidisciplinary, relying on both Helly's theorem, Finite set and Tverberg's theorem.

Imre Bárány works mostly in the field of Regular polygon, limiting it down to topics relating to Upper and lower bounds and, in certain cases, Convex curve, as a part of the same area of interest. Many of his studies on Convex hull involve topics that are commonly interrelated, such as Probability measure. His studies examine the connections between Convex set and genetics, as well as such issues in Convex analysis, with regards to Subderivative.

He most often published in these fields:

  • Combinatorics (112.04%)
  • Discrete mathematics (33.78%)
  • Regular polygon (33.11%)

What were the highlights of his more recent work (between 2016-2021)?

  • Combinatorics (112.04%)
  • Regular polygon (33.11%)
  • Discrete mathematics (33.78%)

In recent papers he was focusing on the following fields of study:

Imre Bárány mainly focuses on Combinatorics, Regular polygon, Discrete mathematics, Partition and Convex set. His Combinatorics research integrates issues from Point, Type and Helly's theorem. His Regular polygon research includes themes of Line, Pairwise comparison and Conjecture.

He interconnects Order, Extension, Mathematical society, Selection and Topology in the investigation of issues within Discrete mathematics. His work deals with themes such as Convex hull, Convex body, Convex analysis, Convex combination and Subderivative, which intersect with Convex set. His studies deal with areas such as Probability distribution, Upper and lower bounds, Convex polytope and Polytope as well as Convex hull.

Between 2016 and 2021, his most popular works were:

  • Random points in halfspheres (34 citations)
  • Random points in halfspheres (34 citations)
  • Tverberg’s theorem is 50 years old: A survey (31 citations)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Strong Formulations for Multi-Item Capacitated Lot Sizing

Imre Barany;Tony J. Van Roy;Laurence A. Wolsey.
Management Science (1984)

389 Citations

A generalization of carathéodory's theorem

Imre Bárány.
Discrete Mathematics (1982)

308 Citations

Uncapacitated lot-sizing: The convex hull of solutions

Imre Barany;Tony van Roy;Laurence A. Wolsey.
MATH PROGRAM STUD , 22 (DEC) 32 - 43. (1984) (1984)

234 Citations

Computing the volume is difficult

Imre Bárány;Zoltán Füredi.
Discrete and Computational Geometry (1987)

224 Citations

On a Topological Generalization of a Theorem of Tverberg

I. Bárány;S. B. Shlosman;A. Szücs.
Journal of The London Mathematical Society-second Series (1981)

185 Citations

CONVEX-BODIES, ECONOMIC CAP COVERINGS, RANDOM POLYTOPES

I. Bárány;D. G. Larman.
Mathematika (1988)

171 Citations

Fair Distribution Protocols or How the Players Replace Fortune

Imre Bárány.
Mathematics of Operations Research (1992)

168 Citations

Central limit theorems for Gaussian polytopes

Imre Bárány;Van H. Vu.
Annals of Probability (2008)

147 Citations

Point Selections and Weak ε-Nets for Convex Hulls

Noga Alon;Noga Alon;Imre Bárány;Imre Bárány;Zoltán Füredi;Daniel J. Kleitman.
Combinatorics, Probability & Computing (1992)

138 Citations

On the number of halving planes

Imre Bárány;Zoltán Füredi;László Lovász;László Lovász.
Combinatorica (1990)

128 Citations

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Santosh Vempala

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George L. Nemhauser

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