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 39 Citations 21,608 163 World Ranking 1421 National Ranking 58
Engineering and Technology D-index 39 Citations 21,542 144 World Ranking 3746 National Ranking 154

Overview

What is he best known for?

The fields of study he is best known for:

  • Combinatorics
  • Quantum mechanics
  • Discrete mathematics

Chris Godsil spends much of his time researching Discrete mathematics, Combinatorics, Graph, Adjacency matrix and Chordal graph. His Discrete mathematics research incorporates themes from Quantum information science and Spectrum. His work in Vertex-transitive graph, Graph theory, Conjecture, Symmetric group and Matching polynomial is related to Combinatorics.

His Graph study combines topics in areas such as Polynomial, Perfect state transfer and Hermite polynomials. Many of his studies involve connections with topics such as Indifference graph and Chordal graph. His research brings together the fields of Cograph and Graph product.

His most cited work include:

  • Algebraic Graph Theory (4896 citations)
  • Zero forcing sets and the minimum rank of graphs (241 citations)
  • On the full automorphism group of a graph (233 citations)

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

Chris Godsil mostly deals with Combinatorics, Discrete mathematics, Graph, Adjacency matrix and Quantum walk. The Combinatorics study combines topics in areas such as Matrix and Eigenvalues and eigenvectors. His Graph study integrates concerns from other disciplines, such as Spectral radius, Homomorphism, Conjecture, Chromatic scale and Perfect state transfer.

In his study, Degree matrix is strongly linked to Seidel adjacency matrix, which falls under the umbrella field of Adjacency matrix. Chris Godsil combines subjects such as Algebraic graph theory, Laplacian matrix and Bipartite graph with his study of Quantum walk. His study looks at the relationship between Chordal graph and topics such as Indifference graph, which overlap with Pathwidth, Clique-sum and Metric dimension.

He most often published in these fields:

  • Combinatorics (90.05%)
  • Discrete mathematics (52.24%)
  • Graph (24.88%)

What were the highlights of his more recent work (between 2016-2021)?

  • Combinatorics (90.05%)
  • Quantum walk (15.42%)
  • Graph (24.88%)

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

His primary areas of study are Combinatorics, Quantum walk, Graph, Discrete mathematics and Matrix. His Combinatorics research is multidisciplinary, relying on both Eigenvalues and eigenvectors and Mixing. Chris Godsil studied Quantum walk and Strongly regular graph that intersect with Paley graph.

His Graph study which covers Chromatic scale that intersects with Graph coloring, Conjecture and Finite group. His study in Discrete mathematics is interdisciplinary in nature, drawing from both Projection, Quantum and Perfect state transfer. His Matrix research incorporates elements of Centralizer and normalizer, Automorphism and Projection.

Between 2016 and 2021, his most popular works were:

  • Pretty good state transfer in qubit chains—The Heisenberg Hamiltonian (23 citations)
  • Strongly Cospectral Vertices (16 citations)
  • Uniform Mixing on Cayley Graphs (6 citations)

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

  • Combinatorics
  • Quantum mechanics
  • Algebra

Chris Godsil mainly investigates Combinatorics, Quantum walk, Discrete mathematics, Cayley graph and Graph. His research integrates issues of Positive-definite matrix and Eigenvalues and eigenvectors in his study of Combinatorics. His Quantum walk research is multidisciplinary, incorporating elements of Strongly regular graph, Mixing and Bipartite graph.

The concepts of his Discrete mathematics study are interwoven with issues in Quantum, Quantum computer and Perfect state transfer. His Cayley graph study combines topics in areas such as Characterization and Cartesian coordinate system. His Adjacency matrix study combines topics from a wide range of disciplines, such as Embedding and Computation.

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

Algebraic Graph Theory

Christopher David Godsil;Gordon Royle.
(2009)

9231 Citations

STRONGLY REGULAR GRAPHS

Chris Godsil;Gordon Royle.
(2001)

6926 Citations

On the full automorphism group of a graph

Chris D. Godsil.
Combinatorica (1981)

355 Citations

On the theory of the matching polynomial

Chris D. Godsil;Ivan Gutman.
Journal of Graph Theory (1981)

308 Citations

Zero forcing sets and the minimum rank of graphs

Francesco Barioli;Wayne Barrett;Steve Butler;Sebastian M. Cioabă.
Linear Algebra and its Applications (2008)

276 Citations

Constructing cospectral graphs

C. D. Godsil;C. D. Godsil;B. D. McKay;B. D. McKay.
Aequationes Mathematicae (1982)

271 Citations

A new graph product and its spectrum

C.D. Godsil;B.D. McKay.
Bulletin of The Australian Mathematical Society (1978)

202 Citations

Cycles in graphs

Brian Roger Alspach;Christopher David Godsil.
North-holland Mathematics Studies (1985)

193 Citations

State transfer on graphs

Chris Godsil.
Discrete Mathematics (2012)

163 Citations

Feasibility conditions for the existence of walk-regular graphs

C.D. Godsil;B.D. McKay.
Linear Algebra and its Applications (1980)

158 Citations

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