What is he best known for?
The fields of study he is best known for:
- Combinatorics
- Discrete mathematics
- Real number
Combinatorics, Discrete mathematics, Upper and lower bounds, Function and Pathwidth are his primary areas of study.
The various areas that Nathan Linial examines in his Combinatorics study include Geometry, Omega and Constant.
His research in Omega tackles topics such as Computational problem which are related to areas like Distributed algorithm.
His Competitive analysis study in the realm of Upper and lower bounds interacts with subjects such as Schedule.
His Function research includes themes of Harmonic analysis, Fourier transform, Boolean function and Polynomial.
His Pathwidth research incorporates themes from Indifference graph and Chordal graph.
His most cited work include:
- Expander Graphs and their Applications (1457 citations)
- The geometry of graphs and some of its algorithmic applications (866 citations)
- Locality in distributed graph algorithms (774 citations)
What are the main themes of his work throughout his whole career to date?
Nathan Linial spends much of his time researching Combinatorics, Discrete mathematics, Upper and lower bounds, Graph and Computational biology.
His study looks at the intersection of Combinatorics and topics like Omega with Bounded function.
His Discrete mathematics study focuses mostly on Indifference graph, Graph power, Random regular graph, Vertex and Boolean function.
Nathan Linial interconnects Pathwidth and Chordal graph in the investigation of issues within Indifference graph.
His work deals with themes such as Graph theory and Permutation, which intersect with Upper and lower bounds.
His Computational biology study combines topics in areas such as microRNA, Gene and Bioinformatics.
He most often published in these fields:
- Combinatorics (75.11%)
- Discrete mathematics (47.26%)
- Upper and lower bounds (13.08%)
What were the highlights of his more recent work (between 2010-2020)?
- Combinatorics (75.11%)
- Computational biology (7.59%)
- Discrete mathematics (47.26%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Combinatorics, Computational biology, Discrete mathematics, Gene and Almost surely.
His study on Combinatorics is mostly dedicated to connecting different topics, such as Upper and lower bounds.
The concepts of his Computational biology study are interwoven with issues in Phenotype, Proteome, microRNA and Heritability.
Nathan Linial has included themes like Calculus, Simple, Chernoff bound and Inequality in his Discrete mathematics study.
In general Gene study, his work on Human genome and Genome often relates to the realm of Open peer review, thereby connecting several areas of interest.
He interconnects High dimensional, Random graph, Omega and Homology in the investigation of issues within Almost surely.
Between 2010 and 2020, his most popular works were:
- No justified complaints: on fair sharing of multiple resources (92 citations)
- Collapsibility and Vanishing of Top Homology in Random Simplicial Complexes (55 citations)
- On the phase transition in random simplicial complexes (53 citations)
In his most recent research, the most cited papers focused on:
- Combinatorics
- Real number
- Discrete mathematics
His primary areas of investigation include Combinatorics, Discrete mathematics, Almost surely, Upper and lower bounds and Homology.
His work on Time complexity as part of general Combinatorics research is often related to Stable roommates problem, thus linking different fields of science.
His biological study spans a wide range of topics, including NODAL and Eigenvalues and eigenvectors.
His Almost surely study combines topics in areas such as Random regular graph, Simplicial complex, Eigenfunction, Adjacency matrix and Random graph.
The Upper and lower bounds study combines topics in areas such as Hypergraph, Entropy, Complete graph and Omega.
His research on Homology also deals with topics like
- Simplicial homology that intertwine with fields like Simplex, h-vector and Abstract simplicial complex,
- Betti number that intertwine with fields like Phase transition, Giant component, Probability space and Connected component.
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