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 37 Citations 4,933 163 World Ranking 1706 National Ranking 118
Engineering and Technology D-index 37 Citations 4,906 156 World Ranking 4615 National Ranking 296

Overview

What is he best known for?

The fields of study he is best known for:

  • Combinatorics
  • Mathematical analysis
  • Discrete mathematics

His main research concerns Combinatorics, Discrete mathematics, Random graph, Indifference graph and Random regular graph. His work is connected to 1-planar graph, Line graph, Graph, Vertex and Disjoint sets, as a part of Combinatorics. His studies deal with areas such as Chromatic scale and Demand vector as well as Graph.

His research is interdisciplinary, bridging the disciplines of Degree and Discrete mathematics. His study in Indifference graph is interdisciplinary in nature, drawing from both Pathwidth, Split graph and Chordal graph. His Split graph research includes elements of Universal graph, Pancyclic graph and Graph product.

His most cited work include:

  • On colouring random graphs (317 citations)
  • Acyclic coloring of graphs (211 citations)
  • Random planar graphs (152 citations)

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

His primary scientific interests are in Combinatorics, Discrete mathematics, Random graph, Graph and Random regular graph. Chromatic scale, Vertex, Vertex, 1-planar graph and Planar graph are subfields of Combinatorics in which his conducts study. His Discrete mathematics study frequently involves adjacent topics like Upper and lower bounds.

Colin McDiarmid has researched Random graph in several fields, including Disjoint sets, Class, Time complexity and Line graph. When carried out as part of a general Graph research project, his work on Clique number is frequently linked to work in Expected value, therefore connecting diverse disciplines of study. His work carried out in the field of Random regular graph brings together such families of science as Pancyclic graph and Book embedding.

He most often published in these fields:

  • Combinatorics (85.56%)
  • Discrete mathematics (59.89%)
  • Random graph (27.81%)

What were the highlights of his more recent work (between 2015-2021)?

  • Combinatorics (85.56%)
  • Graph (18.72%)
  • Discrete mathematics (59.89%)

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

Colin McDiarmid mainly investigates Combinatorics, Graph, Discrete mathematics, Random graph and Vertex. Colin McDiarmid undertakes interdisciplinary study in the fields of Combinatorics and High probability through his research. His Graph research includes elements of Open problem and Euler's formula.

His research links Packing problems with Discrete mathematics. The various areas that Colin McDiarmid examines in his Random graph study include Random regular graph, Modularity and Clique. His research investigates the connection with Vertex and areas like Degree which intersect with concerns in Cubic graph and Treewidth.

Between 2015 and 2021, his most popular works were:

  • Modularity of regular and treelike graphs (11 citations)
  • Extremal Distances for Subtree Transfer Operations in Binary Trees (8 citations)
  • Random Graphs, Geometry and Asymptotic Structure (8 citations)

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

  • Combinatorics
  • Mathematical analysis
  • Graph theory

Combinatorics, Graph, Vertex, Random graph and Time complexity are his primary areas of study. His study connects Tree and Combinatorics. Colin McDiarmid has included themes like Open problem and Euler's formula in his Graph study.

His Vertex research includes themes of Hypercube and Multi-commodity flow problem. His Random graph research integrates issues from Disjoint sets, Modularity and Extremal graph theory. His study looks at the intersection of Time complexity and topics like Binary logarithm with Vertex and Random geometric graph.

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 colouring random graphs

G. R. Grimmett;C. J. H. McDiarmid.
Mathematical Proceedings of the Cambridge Philosophical Society (1975)

465 Citations

Acyclic coloring of graphs

Noga Alon;Colin Mcdiarmid;Bruce Reed.
Random Structures and Algorithms (1991)

318 Citations

Algorithmic theory of random graphs

Alan Frieze;Colin McDiarmid.
Random Structures and Algorithms (1997)

220 Citations

Random planar graphs

Colin McDiarmid;Angelika Steger;Dominic J. A. Welsh.
Journal of Combinatorial Theory, Series B (2005)

177 Citations

Small transversals in hypergraphs

Vasek Chvátal;Colin McDiarmid.
Combinatorica (1992)

174 Citations

Channel Assignment and Weighted Coloring

Colin McDiarmid;Bruce A. Reed.
Networks (2000)

166 Citations

Vertex-Colouring Edge-Weightings

Louigi Addario-Berry;Ketan Dalal;Colin McDiarmid;Bruce A. Reed.
Combinatorica (2007)

142 Citations

On integer points in polyhedra

William J. Cook;Mark Hartmann;Ravi Kannan;Colin McDiarmid.
Combinatorica (1992)

109 Citations

On the maximum queue length in the supermarket model

Malwina J. Luczak;Colin McDiarmid.
Annals of Probability (2006)

105 Citations

Rado's theorem for polymatroids

Colin J. H. McDiarmid.
Mathematical Proceedings of the Cambridge Philosophical Society (1975)

95 Citations

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