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- David Avis

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
32
Citations
7,155
149
World Ranking
2321
National Ranking
95

Computer Science
D-index
32
Citations
7,116
147
World Ranking
8984
National Ranking
373

- Combinatorics
- Algorithm
- Geometry

The scientist’s investigation covers issues in Combinatorics, Polyhedron, Regular polygon, Discrete mathematics and Convex hull. His Combinatorics research is multidisciplinary, incorporating elements of Cardinality, Bounded function and Star-shaped polygon. The various areas that David Avis examines in his Polyhedron study include Vertex, Anatomic Surface and Partial volume.

David Avis works mostly in the field of Regular polygon, limiting it down to topics relating to Algorithm and, in certain cases, Convex metric space, Fisher information metric, Metric, Injective metric space and Metric k-center, as a part of the same area of interest. His research in Discrete mathematics intersects with topics in Assignment problem, Plane, Heuristics and Euclidean geometry. His Convex hull study often links to related topics such as Convex polytope.

- Automated 3-D Extraction of Inner and Outer Surfaces of Cerebral Cortex from MRI (734 citations)
- Reverse search for enumeration (630 citations)
- A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra (482 citations)

David Avis spends much of his time researching Combinatorics, Discrete mathematics, Polytope, Polyhedron and Convex hull. His Combinatorics study integrates concerns from other disciplines, such as Linear programming, Space and Convex polytope. His studies deal with areas such as Orthogonal convex hull and Vertex enumeration problem as well as Convex polytope.

His Discrete mathematics research focuses on Birkhoff polytope and how it connects with Uniform k 21 polytope. His Polytope study also includes fields such as

- Exponential function, which have a strong connection to Upper and lower bounds,
- Simplex algorithm which is related to area like Digraph. His Polyhedron study incorporates themes from Speedup, Shared memory, Parallel computing and Regular polygon.

- Combinatorics (65.96%)
- Discrete mathematics (38.30%)
- Polytope (28.19%)

- Polytope (28.19%)
- Combinatorics (65.96%)
- Discrete mathematics (38.30%)

David Avis mainly focuses on Polytope, Combinatorics, Discrete mathematics, Simple and Polyhedron. His Polytope research is multidisciplinary, incorporating perspectives in Linear programming, Time complexity, Theory of computation and Facet. His specific area of interest is Combinatorics, where David Avis studies Vertex.

His Discrete mathematics study combines topics from a wide range of disciplines, such as Generalization, Uniform k 21 polytope, Game theory, Birkhoff polytope and Polynomial. His Simple research incorporates themes from Algorithm, Search algorithm and Limit. His studies in Polyhedron integrate themes in fields like Travelling salesman problem and Speedup, Shared memory, Parallel computing.

- Ground metric learning (62 citations)
- On the extension complexity of combinatorial polytopes (27 citations)
- Optimized open pit mine design, pushbacks and the gap problem—a review (26 citations)

- Algorithm
- Combinatorics
- Geometry

His main research concerns Polytope, Parallel computing, Polyhedron, Combinatorics and Mathematical optimization. The concepts of his Polytope study are interwoven with issues in Theory of computation and Descriptive complexity theory. His work carried out in the field of Parallel computing brings together such families of science as Minor, Theoretical computer science, Branch and bound and Vertex.

His Combinatorics research includes themes of Discrete mathematics, Upper and lower bounds, Exponential function and Simplex algorithm. His biological study spans a wide range of topics, including Computational complexity theory and Generalization. The study incorporates disciplines such as Tree, Algorithm and Parameterized complexity in addition to Mathematical optimization.

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.

Automated 3-D Extraction of Inner and Outer Surfaces of Cerebral Cortex from MRI

David MacDonald;Noor Kabani;David Avis;Alan C. Evans.

NeuroImage **(2000)**

1011 Citations

Reverse search for enumeration

David Avis;Komei Fukuda.

Discrete Applied Mathematics **(1996)**

977 Citations

A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra

David Avis;Komei Fukuda.

symposium on computational geometry **(1991)**

757 Citations

How good are convex hull algorithms

David Avis;David Bremner;Raimund Seidel;Raimund Seidel.

Computational Geometry: Theory and Applications **(1997)**

355 Citations

A linear algorithm for computing the visibility polygon from a point

H El Gindy;D Avis.

Journal of Algorithms **(1981)**

351 Citations

A survey of heuristics for the weighted matching problem

David Avis.

Networks **(1983)**

254 Citations

A Revised Implementation of the Reverse Search Vertex Enumeration Algorithm

David Avis.

**(2000)**

239 Citations

Multiple surface identification and matching in magnetic resonance images

David MacDonald;David Avis;Alan C. Evans.

Visualization in Biomedical Computing 1994 **(1994)**

215 Citations

Notes on Bland’s pivoting rule

D. Avis;V. Chvátal.

**(1978)**

193 Citations

A linear algorithm for finding the convex hull of a simple polygon

Duncan McCallum;David Avis.

Information Processing Letters **(1979)**

184 Citations

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