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 33 Citations 6,271 146 World Ranking 1728 National Ranking 19
Engineering and Technology D-index 31 Citations 4,863 124 World Ranking 5629 National Ranking 105

Research.com Recognitions

Awards & Achievements

2018 - Royal Netherlands Academy of Arts and Sciences

2017 - SIAM Fellow For contributions to discrete and polynomial optimization and revealing interactions between them.

Overview

What is she best known for?

The fields of study she is best known for:

  • Algebra
  • Combinatorics
  • Geometry

Discrete mathematics, Combinatorics, Semidefinite programming, Positive-definite matrix and Polynomial are her primary areas of study. Her Discrete mathematics research integrates issues from Quantum Fourier transform, Quantum algorithm, Controlled NOT gate, Algebraic number and Regular polygon. Her work focuses on many connections between Combinatorics and other disciplines, such as Moment matrix, that overlap with her field of interest in Monomial.

Her Semidefinite programming study integrates concerns from other disciplines, such as Combinatorial optimization, Approximation algorithm, Conic optimization and Semidefinite embedding. Monique Laurent has included themes like Structure and Diagonal in her Positive-definite matrix study. She has researched Polytope in several fields, including Birkhoff polytope and Complete graph.

Her most cited work include:

  • Geometry of Cuts and Metrics (801 citations)
  • Sums of Squares, Moment Matrices and Optimization Over Polynomials (447 citations)
  • A comparison of the Sherali-Adams, Lov\341sz-Schrijver and Lasserre relaxations for 0-1 programming (333 citations)

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

Her scientific interests lie mostly in Combinatorics, Discrete mathematics, Semidefinite programming, Polytope and Positive-definite matrix. Her study in Combinatorics is interdisciplinary in nature, drawing from both Matrix, Symmetric matrix and Polynomial. Her System of polynomial equations study in the realm of Polynomial interacts with subjects such as Rate of convergence.

Her study in the field of Time complexity, Independent set and Maximum cut also crosses realms of Hierarchy. Her Semidefinite programming research includes themes of Semidefinite embedding, Quadratically constrained quadratic program, Approximation algorithm and Positive polynomial. Her biological study spans a wide range of topics, including Delaunay triangulation, Complete graph, Dimension, Cone and Convex hull.

She most often published in these fields:

  • Combinatorics (93.73%)
  • Discrete mathematics (45.76%)
  • Semidefinite programming (22.88%)

What were the highlights of her more recent work (between 2014-2021)?

  • Combinatorics (93.73%)
  • Discrete mathematics (45.76%)
  • Rate of convergence (12.92%)

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

Her primary areas of investigation include Combinatorics, Discrete mathematics, Rate of convergence, Measure and Polynomial. The various areas that Monique Laurent examines in her Combinatorics study include Positive-definite matrix, Matrix, Symmetric matrix, Monotone polygon and Upper and lower bounds. Her Positive-definite matrix study incorporates themes from Conic optimization, Noncommutative geometry, Semidefinite programming, Rank and Matrix decomposition.

Her Discrete mathematics research incorporates elements of Symmetry and Quantum entanglement. Monique Laurent combines subjects such as Hypercube, Convex body and Orthogonal polynomials with her study of Measure. The concepts of her Polynomial study are interwoven with issues in Simplex, Closed set and Hierarchy.

Between 2014 and 2021, her most popular works were:

  • Conic Approach to Quantum Graph Parameters Using Linear Optimization Over the Completely Positive Semidefinite Cone (44 citations)
  • Convergence analysis for Lasserre's measure-based hierarchy of upper bounds for polynomial optimization (23 citations)
  • The quadratic assignment problem is easy for Robinsonian matrices with Toeplitz structure (18 citations)

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

  • Combinatorics
  • Algebra
  • Geometry

Monique Laurent mainly focuses on Combinatorics, Discrete mathematics, Rate of convergence, Hypercube and Measure. Her research integrates issues of Matrix, Upper and lower bounds and Polynomial in her study of Combinatorics. Her Discrete mathematics study combines topics in areas such as Monotone polygon, Symmetric matrix and Semidefinite programming.

The Semidefinite programming study combines topics in areas such as Quantum discord, Quantum correlation, Quantum graph and Conic section. In her research on the topic of Hypercube, Borel measure is strongly related with Lebesgue measure. Her studies in Measure integrate themes in fields like Compact space and Convex body.

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

Geometry of Cuts and Metrics

Michel Marie Deza;Monique Laurent.
(2009)

1051 Citations

Sums of Squares, Moment Matrices and Optimization Over Polynomials

M. Laurent.
The IMA Volumes in Mathematics and its Applications Series (2009)

725 Citations

A comparison of the Sherali-Adams, Lov\\341sz-Schrijver and Lasserre relaxations for 0-1 programming

Monique Laurent.
Mathematics of Operations Research (2001)

401 Citations

Semidefinite programming and integer programming

Monique Laurent;Franz Rendl.
Handbooks in Operations Research and Management Science (2005)

201 Citations

Matrix Completion Problems.

Monique Laurent.
Encyclopedia of Optimization (2009)

120 Citations

On a positive semidefinite relaxation of the cut polytope

Monique Laurent;Svatopluk Poljak.
Linear Algebra and its Applications (1995)

115 Citations

Semidefinite Characterization and Computation of Zero-Dimensional Real Radical Ideals

Jean Bernard Lasserre;Monique Laurent;Philipp Rostalski.
Foundations of Computational Mathematics (2008)

115 Citations

Facets for the cut cone I

Michel Deza;Monique Laurent.
Mathematical Programming (1992)

103 Citations

A PTAS for the minimization of polynomials of fixed degree over the simplex

Etienne de Klerk;Monique Laurent;Pablo A. Parrilo.
workshop on approximation and online algorithms (2006)

102 Citations

Semidefinite representations for finite varieties

Monique Laurent.
Mathematical Programming (2007)

92 Citations

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