D-Index & Metrics Best Publications

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 35 Citations 8,374 119 World Ranking 1862 National Ranking 798
Computer Science D-index 35 Citations 8,374 121 World Ranking 7428 National Ranking 3499

Research.com Recognitions

Awards & Achievements

2017 - Fellow of the Royal Society, United Kingdom

2016 - Fellow of the MacArthur Foundation

2014 - Rolf Nevanlinna Prize "For his prescient definition of the “Unique Games” problem, and leading the effort to understand its complexity and its pivotal role in the study of efficient approximation of optimization problems; his work has led to breakthroughs in algorithmic design and approximation hardness, and to new exciting interactions between computational complexity, analysis and geometry."[12]

2010 - National Science Foundation Alan T. Waterman Award Computer Science

2006 - Fellow of Alfred P. Sloan Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Combinatorics
  • Discrete mathematics
  • Algebra

His scientific interests lie mostly in Combinatorics, Discrete mathematics, Unique games conjecture, Approximation algorithm and Conjecture. His study on Hardness of approximation, Binary logarithm and Boolean function is often connected to Set theory as part of broader study in Combinatorics. His Discrete mathematics research is multidisciplinary, incorporating elements of Computational complexity theory and Graph theory.

His Unique games conjecture research is multidisciplinary, incorporating perspectives in Graph, Grothendieck inequality and Maximum cut. His work in Approximation algorithm addresses subjects such as Combinatorial optimization, which are connected to disciplines such as Monotone polygon and Submodular set function. His Vertex cover study combines topics from a wide range of disciplines, such as Theory of computing and Constant factor.

His most cited work include:

  • On the power of unique 2-prover 1-round games (810 citations)
  • Vertex cover might be hard to approximate to within 2-ε (586 citations)
  • Optimal Inapproximability Results for MAX-CUT and Other 2-Variable CSPs? (473 citations)

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

His primary areas of study are Combinatorics, Discrete mathematics, Unique games conjecture, Hardness of approximation and Approximation algorithm. His Combinatorics study incorporates themes from Computational complexity theory and Constant. The study incorporates disciplines such as Function and Fraction in addition to Discrete mathematics.

His Unique games conjecture study also includes

  • Maximum cut which intersects with area such as Rounding and Grothendieck inequality,
  • Embedding most often made with reference to Reduction. Subhash Khot combines subjects such as PCP theorem, Bipartite graph and Finite field with his study of Hardness of approximation. His Approximation algorithm study deals with Time complexity intersecting with Vertex.

He most often published in these fields:

  • Combinatorics (77.19%)
  • Discrete mathematics (64.33%)
  • Unique games conjecture (28.07%)

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

  • Combinatorics (77.19%)
  • Discrete mathematics (64.33%)
  • Boolean function (9.36%)

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

The scientist’s investigation covers issues in Combinatorics, Discrete mathematics, Boolean function, Conjecture and Function. His Combinatorics study typically links adjacent topics like Small set. His Boolean function research incorporates themes from Property testing and Mathematical proof.

His specific area of interest is Conjecture, where Subhash Khot studies Unique games conjecture. His Function research focuses on Integer and how it connects with Variable. He has included themes like Vertex, Maximum cut, Rounding and Approximation algorithm in his Time complexity study.

Between 2016 and 2021, his most popular works were:

  • On independent sets, 2-to-2 games, and Grassmann graphs (27 citations)
  • Pseudorandom Sets in Grassmann Graph have Near-Perfect Expansion. (25 citations)
  • Towards a proof of the 2-to-1 games conjecture? (18 citations)

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

  • Algebra
  • Combinatorics
  • Real number

Subhash Khot mainly focuses on Combinatorics, Graph, Small set, Conjecture and Vertex cover. As part of his studies on Combinatorics, Subhash Khot often connects relevant areas like Pseudorandom number generator. He integrates many fields, such as Small set, Completeness, Linearity, Imperfect and Cover, in his works.

The various areas that Subhash Khot examines in his Vertex cover study include Feedback vertex set, Independent set and Vertex. Subhash Khot connects Maximal independent set with Discrete mathematics in his study.

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

On the power of unique 2-prover 1-round games

Subhash Khot.
symposium on the theory of computing (2002)

1353 Citations

Vertex cover might be hard to approximate to within 2-ε

Subhash Khot;Oded Regev.
Journal of Computer and System Sciences (2008)

845 Citations

Optimal Inapproximability Results for MAX-CUT and Other 2-Variable CSPs?

Subhash Khot;Guy Kindler;Elchanan Mossel;Ryan O’Donnell.
SIAM Journal on Computing (2007)

750 Citations

The unique games conjecture, integrality gap for cut problems and embeddability of negative type metrics into l/sub 1/

S.A. Khot;N.K. Vishnoi.
foundations of computer science (2005)

436 Citations

Hardness of approximating the shortest vector problem in lattices

Subhash Khot.
Journal of the ACM (2005)

324 Citations

Ruling Out PTAS for Graph Min-Bisection, Dense k-Subgraph, and Bipartite Clique

Subhash Khot.
SIAM Journal on Computing (2006)

287 Citations

Improved inapproximability results for MaxClique, chromatic number and approximate graph coloring

S. Khot.
international conference on cluster computing (2001)

264 Citations

Near-optimal lower bounds on the multi-party communication complexity of set disjointness

A. Chakrabarti;S. Khot;Xiaodong Sun.
conference on computational complexity (2003)

233 Citations

Inapproximability of Vertex Cover and Independent Set in Bounded Degree Graphs

Per Austrin;Subhash Khot;Muli Safra.
Theory of Computing (2011)

214 Citations

Parameterized Complexity of Finding Subgraphs with Hereditary Properties

Subhash Khot;Venkatesh Raman.
computing and combinatorics conference (2000)

205 Citations

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