What is he best known for?
The fields of study he is best known for:
- Combinatorics
- Discrete mathematics
- Algebra
The scientist’s investigation covers issues in Discrete mathematics, Combinatorics, Random graph, Random regular graph and Indifference graph.
In general Discrete mathematics, his work in Pathwidth, Line graph, Vertex and Graph partition is often linked to Power law linking many areas of study.
As part of his studies on Combinatorics, he often connects relevant subjects like Eigenvalues and eigenvectors.
His biological study spans a wide range of topics, including Integral graph and Directed graph.
His work on Giant component as part of general Random graph research is often related to Exponent, thus linking different fields of science.
His Spectral graph theory study combines topics from a wide range of disciplines, such as Algebraic connectivity and Rayleigh quotient.
His most cited work include:
- Spectral Graph Theory (5967 citations)
- Spectral grouping using the Nystrom method (1098 citations)
- Optical orthogonal codes: design, analysis and applications (1024 citations)
What are the main themes of his work throughout his whole career to date?
Fan Chung focuses on Combinatorics, Discrete mathematics, Graph, Random graph and Random walk.
In his research, Laplace operator is intimately related to Eigenvalues and eigenvectors, which falls under the overarching field of Combinatorics.
His Discrete mathematics research focuses on Almost surely and how it connects with Degree.
His Random walk studies intersect with other disciplines such as PageRank, Heat kernel, Stationary distribution and Laplacian matrix.
The concepts of his PageRank study are interwoven with issues in Conductance and Algorithm.
His study ties his expertise on Graph product together with the subject of Indifference graph.
He most often published in these fields:
- Combinatorics (67.86%)
- Discrete mathematics (49.70%)
- Graph (14.58%)
What were the highlights of his more recent work (between 2011-2021)?
- Combinatorics (67.86%)
- Discrete mathematics (49.70%)
- Random walk (9.52%)
In recent papers he was focusing on the following fields of study:
His primary areas of investigation include Combinatorics, Discrete mathematics, Random walk, Graph and PageRank.
His primary area of study in Combinatorics is in the field of Random graph.
His work deals with themes such as Random regular graph, Graph enumeration, Convergence, Class and Limit, which intersect with Random graph.
Fan Chung usually deals with Graph and limits it to topics linked to Almost surely and Expander graph and Linear number.
His work carried out in the field of PageRank brings together such families of science as Algorithm, Mathematical optimization and Approximation algorithm.
Fan Chung focuses mostly in the field of Eigenvalues and eigenvectors, narrowing it down to topics relating to Laplace operator and, in certain cases, Sigma.
Between 2011 and 2021, his most popular works were:
- Spectral Clustering of Graphs with General Degrees in the Extended Planted Partition Model (174 citations)
- Harnack inequalities for graphs with non-negative Ricci curvature (50 citations)
- Curvature aspects of graphs (27 citations)
In his most recent research, the most cited papers focused on:
- Combinatorics
- Algebra
- Mathematical analysis
His main research concerns Discrete mathematics, Combinatorics, PageRank, Random walk and Algorithm.
The various areas that Fan Chung examines in his Discrete mathematics study include Boundary value problem and Log sum inequality.
His Permutation, Edge and Chordal graph study in the realm of Combinatorics connects with subjects such as Joint probability distribution and Eulerian path.
His research in PageRank intersects with topics in Approximation algorithm and Cluster analysis.
The study incorporates disciplines such as Scheduling, Processor scheduling, Graph theory and The Intersect in addition to Algorithm.
His studies in Heat kernel integrate themes in fields like Graph, Laplacian matrix and Bounded function.
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