D-Index & Metrics Best Publications
Mathematics
Netherlands
2023

D-Index & Metrics 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.

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 48 Citations 40,126 168 World Ranking 856 National Ranking 4
Computer Science D-index 48 Citations 40,109 162 World Ranking 3909 National Ranking 47

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in Netherlands Leader Award

2022 - Research.com Mathematics in Netherlands Leader Award

2015 - EURO Gold Medal

2013 - Fellow of the American Mathematical Society

2009 - SIAM Fellow For contributions to combinatorial optimization.

2008 - Member of Academia Europaea

2006 - INFORMS John von Neumann Theory Prize

2003 - Dantzig Prize, by the Society for Industrial and Applied Mathematics (SIAM) and the Mathematical Optimization Society (MOS)

Overview

What is he best known for?

The fields of study he is best known for:

  • Combinatorics
  • Algebra
  • Discrete mathematics

Combinatorics, Discrete mathematics, Combinatorial optimization, Optimization problem and Linear programming are his primary areas of study. Discrete mathematics is closely attributed to Branch and price in his research. His research in Combinatorial optimization focuses on subjects like Matroid intersection, which are connected to Total dual integrality.

His Quadratic assignment problem study in the realm of Optimization problem connects with subjects such as Ellipsoid method. He has included themes like Matroid polytope, Weighted matroid, Cutting-plane method and Polymatroid in his Polyhedron study. His Integer programming study incorporates themes from Linear-fractional programming, Criss-cross algorithm and System of linear equations.

His most cited work include:

  • Theory of Linear and Integer Programming (5875 citations)
  • Geometric Algorithms and Combinatorial Optimization (3230 citations)
  • Combinatorial Optimization (2568 citations)

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

Alexander Schrijver focuses on Combinatorics, Discrete mathematics, Graph, Disjoint sets and Bipartite graph. His research ties Upper and lower bounds and Combinatorics together. His studies deal with areas such as Graph theory, Semidefinite programming and Submodular set function as well as Discrete mathematics.

His biological study spans a wide range of topics, including Matching and Matroid. His research in Matching tackles topics such as State which are related to areas like Linear programming. His Algebra research is multidisciplinary, incorporating elements of Time complexity and Combinatorial optimization.

He most often published in these fields:

  • Combinatorics (76.65%)
  • Discrete mathematics (53.30%)
  • Graph (14.10%)

What were the highlights of his more recent work (between 2009-2019)?

  • Combinatorics (76.65%)
  • Discrete mathematics (53.30%)
  • Graph (14.10%)

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

His primary areas of investigation include Combinatorics, Discrete mathematics, Graph, Vertex and Algebra. His Combinatorics research includes themes of Upper and lower bounds and Bounded function. His Discrete mathematics study frequently links to adjacent areas such as Series.

His Graph research includes themes of Complex number, Matrix, Eigenvalues and eigenvectors and Spin model. The Vertex study combines topics in areas such as Chord diagram, Vertex model, Circulant graph and Lie algebra. Semidefinite programming and Symmetry is closely connected to Coding theory in his research, which is encompassed under the umbrella topic of Algebra.

Between 2009 and 2019, his most popular works were:

  • The Traveling Salesman Problem (72 citations)
  • Invariant semidefinite programs (48 citations)
  • Invariant semidefinite programs (48 citations)

In his most recent research, the most cited papers focused on:

  • Combinatorics
  • Algebra
  • Real number

Alexander Schrijver mostly deals with Combinatorics, Discrete mathematics, Invariant, Semidefinite programming and Polynomial optimization. His Combinatorics study frequently involves adjacent topics like Upper and lower bounds. He combines subjects such as Travelling salesman problem and Series with his study of Discrete mathematics.

His Invariant research incorporates elements of Binary Golay code, Comparability, Binary code, Hamming distance and Symmetric matrix. His research integrates issues of Symmetry and Coding theory in his study of Polynomial optimization. The various areas that he examines in his Graph partition study include Partition function, Circulant graph, Regular graph, Vertex and Vertex model.

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

Theory of Linear and Integer Programming

Alexander Schrijver.
(1986)

10233 Citations

Combinatorial optimization. Polyhedra and efficiency.

A. Schrijver.
Algorithms and Combinatorics (2003)

5581 Citations

Geometric Algorithms and Combinatorial Optimization

Martin Grötschel;László Lovász;Alexander Schrijver.
(1988)

4962 Citations

Combinatorial Optimization

William J. Cook;William H. Cunningham;William R. Pulleyblank;Alexander Schrijver.
(1997)

4321 Citations

The Traveling Salesman Problem

William J. Cook;William H. Cunningham;William R. Pulleyblank;Alexander Schrijver.
(2011)

3300 Citations

The ellipsoid method and its consequences in combinatorial optimization

Martin Grötschel;Lászlo Lovász;Alexander Schrijver.
Combinatorica (1981)

2517 Citations

Cones of Matrices and Set-Functions and 0–1 Optimization

László Lovász;Alexander Schrijver.
Siam Journal on Optimization (1991)

1235 Citations

A Combinatorial Algorithm Minimizing Submodular Functions in Strongly Polynomial Time

Alexander Schrijver.
Journal of Combinatorial Theory, Series B (2000)

753 Citations

Polynomial Algorithms for Perfect Graphs

Martin Grötschel;Lászlo Lovász;Alexander Schrijver.
Annals of discrete mathematics (1984)

462 Citations

On the History of Combinatorial Optimization (Till 1960)

Alexander Schrijver.
Handbooks in Operations Research and Management Science (2005)

349 Citations

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