D-Index & Metrics Best Publications
Mathematics
Hungary
2023
Engineering and Technology
Hungary
2022

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 98 Citations 56,461 720 World Ranking 31 National Ranking 1
Engineering and Technology D-index 98 Citations 53,691 335 World Ranking 63 National Ranking 1

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in Hungary Leader Award

2022 - Research.com Engineering and Technology in Hungary Leader Award

2022 - Research.com Mathematics in Hungary Leader Award

1996 - Fellow of American Physical Society (APS) Citation For the elucidation of the thermal and electronic properties of disordered materials and actinide compounds, and for his work on the biophysics of the neural control of the locomotion of nematodes

1983 - Wolf Prize in Mathematics for his numerous contributions to number theory, combinatorics, probability, set theory and mathematical analysis, and for personally stimulating mathematicians the world over.

1982 - Charles Coolidge Parlin Marketing Research Award, American Marketing Association

1980 - Fellow of the American Association for the Advancement of Science (AAAS)

1980 - Member of the National Academy of Sciences

1951 - Frank Nelson Cole Prize in Number Theory

1946 - Fellow of John Simon Guggenheim Memorial Foundation

1945 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Combinatorics
  • Discrete mathematics
  • Real number

Paul Erdös mainly focuses on Combinatorics, Discrete mathematics, Pure mathematics, Algebra and Complement graph. His Graph, Integer, Ramsey's theorem, Graph power and Quartic graph study are his primary interests in Combinatorics. His Quartic graph research includes themes of Graph labeling and Factor-critical graph.

His Discrete mathematics study is mostly concerned with Strength of a graph, Voltage graph, Extremal graph theory, Butterfly graph and Hypergraph. His Extremal graph theory research integrates issues from Friendship graph and Erdős–Stone theorem. His Complement graph research is multidisciplinary, incorporating elements of Cubic graph and Null graph.

His most cited work include:

  • On the evolution of random graphs (4376 citations)
  • A combinatorial problem in geometry (1253 citations)
  • INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS (1001 citations)

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

Paul Erdös focuses on Combinatorics, Discrete mathematics, Pure mathematics, Algebra and Graph. His work is connected to Integer, Prime factor, Ramsey's theorem, Partition and Complement graph, as a part of Combinatorics. Discrete mathematics connects with themes related to Graph theory in his study.

He most often published in these fields:

  • Combinatorics (57.93%)
  • Discrete mathematics (41.62%)
  • Pure mathematics (7.78%)

What were the highlights of his more recent work (between 1986-2020)?

  • Combinatorics (57.93%)
  • Discrete mathematics (41.62%)
  • Graph (6.14%)

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

His primary areas of investigation include Combinatorics, Discrete mathematics, Graph, Graph theory and Upper and lower bounds. His study in Combinatorics concentrates on Integer, Ramsey's theorem, Graph, Prime and Line graph. His Line graph and Voltage graph and Cubic graph investigations all form part of his Line graph research activities.

Discrete mathematics is closely attributed to Partition in his research. Graph is often connected to Chromatic scale in his work. His research on Upper and lower bounds frequently connects to adjacent areas such as Complete graph.

Between 1986 and 2020, his most popular works were:

  • On the evolution of random graphs (4376 citations)
  • A combinatorial problem in geometry (1253 citations)
  • Graphs of Extremal Weights. (385 citations)

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

  • Combinatorics
  • Real number
  • Mathematical analysis

His primary scientific interests are in Combinatorics, Discrete mathematics, Graph, Graph and Bipartite graph. As part of his studies on Combinatorics, Paul Erdös frequently links adjacent subjects like Upper and lower bounds. His Discrete mathematics research incorporates themes from Combinatorial principles, Barycentric-sum problem and Combinatorial explosion.

Paul Erdös interconnects Mathematics education, Connected Mathematics, Core-Plus Mathematics Project and Partition in the investigation of issues within Graph. His work carried out in the field of Bipartite graph brings together such families of science as Triangle-free graph and Complete graph. His Integer research is multidisciplinary, relying on both Finite variation, Pure mathematics, Zero, Real number and Sequence.

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 evolution of random graphs

P. Erdos;A. Rényi.
(2011)

20644 Citations

A combinatorial problem in geometry

P. Erdös;G. Szekeres.
Compositio Mathematica (2009)

1689 Citations

INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS

P. Erdós;Chao Ko;R. Rado.
Quarterly Journal of Mathematics (1961)

1505 Citations

On an extremal problem in graph theory

P. Erdös.
Colloquium Mathematicum (1964)

901 Citations

Graph Theory and Probability

P. Erdös.
Canadian Journal of Mathematics (1959)

860 Citations

On the structure of linear graphs

P. Erdös;A. H. Stone.
Bulletin of the American Mathematical Society (1946)

856 Citations

Some remarks on the theory of graphs

P. Erdös.
Bulletin of the American Mathematical Society (1947)

839 Citations

Intersection Theorems for Systems of Sets

P. Erdös;R. Rado.
Journal of The London Mathematical Society-second Series (1960)

816 Citations

A note on Hamiltonian circuits

V. Chvátal;P. Erdös.
Discrete Mathematics (1972)

794 Citations

Graphs of Extremal Weights.

Béla Bollobás;Paul Erdös.
Ars Combinatoria (1998)

733 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

Best Scientists Citing Paul Erdös

Benny Sudakov

Benny Sudakov

ETH Zurich

Publications: 233

Noga Alon

Noga Alon

Tel Aviv University

Publications: 217

János Pach

János Pach

Alfréd Rényi Institute of Mathematics

Publications: 162

Peter Frankl

Peter Frankl

Alfréd Rényi Institute of Mathematics

Publications: 149

Béla Bollobás

Béla Bollobás

University of Memphis

Publications: 133

Jacob Fox

Jacob Fox

Stanford University

Publications: 125

Saharon Shelah

Saharon Shelah

Hebrew University of Jerusalem

Publications: 116

Zoltán Füredi

Zoltán Füredi

University of Illinois at Urbana-Champaign

Publications: 115

Vojtěch Rödl

Vojtěch Rödl

Emory University

Publications: 109

Michael Krivelevich

Michael Krivelevich

Tel Aviv University

Publications: 109

József Balogh

József Balogh

University of Illinois at Urbana-Champaign

Publications: 101

Micha Sharir

Micha Sharir

Tel Aviv University

Publications: 76

Alexandr V. Kostochka

Alexandr V. Kostochka

University of Illinois at Urbana-Champaign

Publications: 74

Carl Pomerance

Carl Pomerance

Dartmouth College

Publications: 73

Douglas B. West

Douglas B. West

University of Illinois at Urbana-Champaign

Publications: 69

Yoshiharu Kohayakawa

Yoshiharu Kohayakawa

Universidade de São Paulo

Publications: 68

Trending Scientists

Antonio Capone

Antonio Capone

Polytechnic University of Milan

Michael Hobday

Michael Hobday

University of Brighton

John Zahorjan

John Zahorjan

University of Washington

Jijun Tang

Jijun Tang

University of South Carolina

Yong Xia

Yong Xia

Hong Kong Polytechnic University

Rolf U. Halden

Rolf U. Halden

Arizona State University

Bernhard Wunderlich

Bernhard Wunderlich

University of Tennessee at Knoxville

Bieke Vanhooydonck

Bieke Vanhooydonck

University of Antwerp

Rui Rosa

Rui Rosa

University of Lisbon

Beate Eckes

Beate Eckes

University of Cologne

Virginia W. Cornish

Virginia W. Cornish

Columbia University

Masaaki Komatsu

Masaaki Komatsu

Juntendo University

Ljerka Kunst

Ljerka Kunst

University of British Columbia

Bin Yong

Bin Yong

Hohai University

Masa Kageyama

Masa Kageyama

Centre national de la recherche scientifique, CNRS

Eliezer M. Van Allen

Eliezer M. Van Allen

Harvard University

Something went wrong. Please try again later.