D-Index & Metrics Best Publications
Mathematics
USA
2023

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 80 Citations 33,146 304 World Ranking 93 National Ranking 53
Computer Science D-index 80 Citations 33,107 301 World Ranking 619 National Ranking 363

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in United States Leader Award

2015 - SIAM Fellow For contributions to combinatorics, graph theory, and their applications.

2013 - Fellow of the American Mathematical Society

1998 - Fellow of the American Academy of Arts and Sciences

Overview

What is she best known for?

The fields of study she is best known for:

  • Combinatorics
  • Discrete mathematics
  • Algebra

Her main research concerns Discrete mathematics, Combinatorics, Random graph, Random regular graph and Indifference graph. Her work on Pathwidth, Line graph, Vertex and Graph partition is typically connected to Power law as part of general Discrete mathematics study, connecting several disciplines of science. Many of her studies involve connections with topics such as Eigenvalues and eigenvectors and Combinatorics.

Her Eigenvalues and eigenvectors study combines topics from a wide range of disciplines, such as Integral graph and Directed graph. The Integral graph study combines topics in areas such as Sobolev inequality, Isoperimetric inequality and Graph energy. Her work on Giant component as part of general Random graph study is frequently connected to Exponent, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.

Her most cited work include:

  • Spectral Graph Theory (6185 citations)
  • Spectral grouping using the Nystrom method (1125 citations)
  • Optical orthogonal codes: design, analysis and applications (1036 citations)

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

Combinatorics, Discrete mathematics, Graph, Random graph and Random walk are her primary areas of study. Her study looks at the relationship between Combinatorics and fields such as Eigenvalues and eigenvectors, as well as how they intersect with chemical problems. The Discrete mathematics study which covers Almost surely that intersects with Degree.

Other disciplines of study, such as PageRank, Heat kernel, Stationary distribution and Laplacian matrix, are mixed together with her Random walk studies. Her research in PageRank intersects with topics in Conductance and Algorithm. Her work on Graph product expands to the thematically related Indifference graph.

She most often published in these fields:

  • Combinatorics (67.86%)
  • Discrete mathematics (49.70%)
  • Graph (14.58%)

What were the highlights of her more recent work (between 2011-2021)?

  • Combinatorics (67.86%)
  • Discrete mathematics (49.70%)
  • Random walk (9.52%)

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

Her primary areas of study are Combinatorics, Discrete mathematics, Random walk, Graph and PageRank. She is interested in Random graph, which is a branch of Combinatorics. Her Random graph research includes elements of Random regular graph, Graph enumeration, Convergence, Class and Limit.

As a member of one scientific family, Fan Chung mostly works in the field of Graph, focusing on Almost surely and, on occasion, Expander graph and Linear number. Her PageRank research incorporates elements of Algorithm, Mathematical optimization and Approximation algorithm. In her research on the topic of Eigenvalues and eigenvectors, Sigma is strongly related with Laplace operator.

Between 2011 and 2021, her most popular works were:

  • Spectral Clustering of Graphs with General Degrees in the Extended Planted Partition Model (184 citations)
  • Harnack inequalities for graphs with non-negative Ricci curvature (50 citations)
  • Curvature aspects of graphs (27 citations)

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

  • Combinatorics
  • Algebra
  • Mathematical analysis

Fan Chung spends much of her time researching Discrete mathematics, PageRank, Combinatorics, Random walk and Algorithm. Her study in the field of Induced subgraph and Bipartite graph is also linked to topics like Sample size determination and Importance sampling. Her studies in PageRank integrate themes in fields like Approximation algorithm, Edge and Cluster analysis.

Fan Chung works in the field of Combinatorics, focusing on Permutation in particular. In general Algorithm study, her work on Computation often relates to the realm of List scheduling, thereby connecting several areas of interest. Her Heat kernel research includes themes of Graph, Laplacian matrix and Bounded function.

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

Spectral Graph Theory

Fan R K Chung.
(1996)

6272 Citations

Spectral grouping using the Nystrom method

C. Fowlkes;S. Belongie;F. Chung;J. Malik.
IEEE Transactions on Pattern Analysis and Machine Intelligence (2004)

1691 Citations

Optical orthogonal codes: design, analysis, and applications

F. R. K. Chung;J. A. Salehi;V. K. Wei.
international symposium on information theory (1989)

1445 Citations

The average distances in random graphs with given expected degrees

Fan Chung;Linyuan Lu.
Proceedings of the National Academy of Sciences of the United States of America (2002)

1300 Citations

A random graph model for massive graphs

William Aiello;Fan Chung;Linyuan Lu.
symposium on the theory of computing (2000)

1278 Citations

Local Graph Partitioning using PageRank Vectors

R. Andersen;Fan Chung;K. Lang.
foundations of computer science (2006)

1246 Citations

Connected Components in Random Graphs with Given Expected Degree Sequences

Fan Chung;Linyuan Lu.
Annals of Combinatorics (2002)

1071 Citations

Complex Graphs and Networks

Fan Chung;Linyuan Lu.
(2006)

912 Citations

The Spectra of Random Graphs with Given Expected Degrees

Fan R. K. Chung;Linyuan Lu;Van H. Vu.
Internet Mathematics (2004)

729 Citations

Laplacians and the Cheeger Inequality for Directed Graphs

Fan Chung.
Annals of Combinatorics (2005)

721 Citations

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