H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 87 Citations 36,484 483 World Ranking 42 National Ranking 26
Engineering and Technology H-index 85 Citations 29,992 429 World Ranking 89 National Ranking 41

Research.com Recognitions

Awards & Achievements

2017 - Member of Academia Europaea

2013 - Fellow of the American Mathematical Society

2013 - Polish Academy of Science

2011 - Fellow of the Royal Society, United Kingdom

Overview

What is he best known for?

The fields of study he is best known for:

  • Combinatorics
  • Discrete mathematics
  • Geometry

His scientific interests lie mostly in Combinatorics, Discrete mathematics, Random graph, Random regular graph and Graph. Indifference graph, 1-planar graph, Tutte polynomial, Vertex and Binary logarithm are subfields of Combinatorics in which his conducts study. As a part of the same scientific family, he mostly works in the field of Indifference graph, focusing on Chordal graph and, on occasion, Pathwidth.

His work on Discrete mathematics is being expanded to include thematically relevant topics such as Degree. His research in Random graph intersects with topics in Phase transition, Universal graph, Dense graph and Hopcroft–Karp algorithm. The various areas that Béla Bollobás examines in his Random regular graph study include Odd graph, Strongly regular graph, Pancyclic graph, Path graph and Split graph.

His most cited work include:

  • Graduate Texts in Mathematics (7753 citations)
  • Modern graph theory (3132 citations)
  • Extremal Graph Theory (1800 citations)

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

Béla Bollobás mainly investigates Combinatorics, Discrete mathematics, Graph, Random graph and Percolation. His work in Random regular graph, Conjecture, Vertex, Degree and Vertex is related to Combinatorics. Hypergraph, Line graph, Indifference graph, Graph power and Chordal graph are subfields of Discrete mathematics in which his conducts study.

Béla Bollobás is interested in Bootstrap percolation, which is a field of Graph. His research in Random graph is mostly concerned with Giant component. His Percolation research is multidisciplinary, incorporating elements of Voronoi diagram and Continuum percolation theory.

He most often published in these fields:

  • Combinatorics (98.09%)
  • Discrete mathematics (67.84%)
  • Graph (22.32%)

What were the highlights of his more recent work (between 2013-2021)?

  • Combinatorics (98.09%)
  • Discrete mathematics (67.84%)
  • Random graph (20.41%)

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

Béla Bollobás mostly deals with Combinatorics, Discrete mathematics, Random graph, Hypergraph and Bootstrap percolation. His work is connected to Graph, Vertex, Conjecture, Vertex and Degree, as a part of Combinatorics. His Discrete mathematics research integrates issues from Continuum percolation theory, Torus and Bounded function.

His work in Random graph addresses subjects such as Integer, which are connected to disciplines such as Finite set. His research investigates the link between Hypergraph and topics such as Probabilistic method that cross with problems in Central limit theorem and Limit. His Bootstrap percolation study incorporates themes from Extreme point, Sharpening and Percolation.

Between 2013 and 2021, his most popular works were:

  • On the stability of the Erdős-Ko-Rado theorem (45 citations)
  • Monotone cellular automata in a random environment (40 citations)
  • Subcritical -bootstrap percolation models have non-trivial phase transitions (34 citations)

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

  • Combinatorics
  • Geometry
  • Algebra

Béla Bollobás mainly focuses on Combinatorics, Discrete mathematics, Bootstrap percolation, Percolation and Graph. All of his Combinatorics and Random graph, Integer, Disjoint sets, Kneser graph and Natural number investigations are sub-components of the entire Combinatorics study. His work in Kneser graph covers topics such as Cubic graph which are related to areas like Random regular graph, Regular graph and Extremal graph theory.

His studies deal with areas such as Continuum percolation theory and Torus as well as Discrete mathematics. Béla Bollobás works mostly in the field of Bootstrap percolation, limiting it down to topics relating to Statistical physics and, in certain cases, Type and Phase transition, as a part of the same area of interest. His study in the field of Vertex also crosses realms of Running time.

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.

Top Publications

Graduate Texts in Mathematics

Rajendra Bhatia;Glen Bredon;Wolfgang Walter;Joseph J. Rotman.
(1977)

23307 Citations

The evolution of random graphs

Béla Bollobás.
Transactions of the American Mathematical Society (1984)

8944 Citations

Modern graph theory

Béla Bollobás.
(1998)

4831 Citations

Extremal Graph Theory

Béla Bollobás.
(1978)

2813 Citations

A Probabilistic Proof of an Asymptotic Formula for the Number of Labelled Regular Graphs

Béla Bollobás.
European Journal of Combinatorics (1980)

1282 Citations

The degree sequence of a scale-free random graph process

Béla Bollobás;Oliver Riordan;Joel Spencer;Gábor Tusnády.
Random Structures and Algorithms (2001)

993 Citations

Graph Theory: An Introductory Course

Béla Bollobás.
(2012)

770 Citations

The phase transition in inhomogeneous random graphs

Béla Bollobás;Svante Janson;Oliver Riordan.
Random Structures and Algorithms (2007)

757 Citations

Graphs of Extremal Weights.

Béla Bollobás;Paul Erdös.
Ars Combinatoria (1998)

629 Citations

Mathematical results on scale‐free random graphs

Béla Bollobás;Béla Bollobás;Oliver M. Riordan.
(2005)

554 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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