What is he best known for?
The fields of study he is best known for:
- Combinatorics
- Mathematical analysis
- Discrete mathematics
His primary scientific interests are in Combinatorics, Discrete mathematics, Random graph, Random regular graph and Dense graph.
The concepts of his Combinatorics study are interwoven with issues in Distribution and Generalization.
He works mostly in the field of Discrete mathematics, limiting it down to topics relating to Degree and, in certain cases, Power law and Scale, as a part of the same area of interest.
His work on Giant component and Barabási–Albert model is typically connected to Watts and Strogatz model as part of general Random graph study, connecting several disciplines of science.
His work focuses on many connections between Giant component and other disciplines, such as Line graph, that overlap with his field of interest in Multiple edges and Exponential random graph models.
His Random regular graph research focuses on Path graph and how it connects with Wheel graph and Complement graph.
His most cited work include:
- The degree sequence of a scale-free random graph process (707 citations)
- The phase transition in inhomogeneous random graphs (612 citations)
- The Diameter of a Scale-Free Random Graph (513 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Combinatorics, Discrete mathematics, Random graph, Giant component and Graph.
Combinatorics and Upper and lower bounds are frequently intertwined in his study.
His study in the field of Random regular graph, Path graph and Graph power also crosses realms of Continuum percolation theory.
His Random regular graph research includes themes of Indifference graph and Dense graph.
The Random graph study combines topics in areas such as Phase transition, Null graph, Branching process and Degree.
As a part of the same scientific family, he mostly works in the field of Giant component, focusing on Random walk and, on occasion, Martingale.
He most often published in these fields:
- Combinatorics (80.13%)
- Discrete mathematics (54.97%)
- Random graph (46.36%)
What were the highlights of his more recent work (between 2013-2021)?
- Combinatorics (80.13%)
- Discrete mathematics (54.97%)
- Random graph (46.36%)
In recent papers he was focusing on the following fields of study:
Oliver Riordan spends much of his time researching Combinatorics, Discrete mathematics, Random graph, Graph and Hypergraph.
In the field of Combinatorics, his study on Degree overlaps with subjects such as struct.
While the research belongs to areas of Discrete mathematics, Oliver Riordan spends his time largely on the problem of Branching process, intersecting his research to questions surrounding Sequence, Giant component and Probability distribution.
The study incorporates disciplines such as Vertex, Null graph, Binomial and Product rule in addition to Random graph.
The Bootstrap percolation research Oliver Riordan does as part of his general Graph study is frequently linked to other disciplines of science, such as Running time, therefore creating a link between diverse domains of science.
The various areas that Oliver Riordan examines in his Hypergraph study include Martingale, Probabilistic method, Matching, Range and Generalization.
Between 2013 and 2021, his most popular works were:
- An old approach to the giant component problem (24 citations)
- The Janson inequalities for general up-sets (19 citations)
- Essential enhancements revisited (18 citations)
In his most recent research, the most cited papers focused on:
- Combinatorics
- Mathematical analysis
- Statistics
Oliver Riordan mainly focuses on Combinatorics, Random graph, Discrete mathematics, struct and Graph.
His Large deviations theory research extends to Combinatorics, which is thematically connected.
His research integrates issues of Event, Mathematical proof and Distribution in his study of Large deviations theory.
His research in Random graph tackles topics such as Vertex which are related to areas like Null graph, Neighbourhood and Product rule.
Oliver Riordan undertakes multidisciplinary investigations into Discrete mathematics and Continuum percolation theory in his work.
His work deals with themes such as Probability distribution, Degree, Giant component, Constant and Sequence, which intersect with Branching process.
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