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- William T. Trotter

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

Engineering and Technology
D-index
33
Citations
6,277
133
World Ranking
4386
National Ranking
1637

Mathematics
D-index
33
Citations
6,137
137
World Ranking
2163
National Ranking
922

- Combinatorics
- Geometry
- Real number

William T. Trotter mainly focuses on Combinatorics, Discrete mathematics, Partially ordered set, Bounded function and Line graph. His Combinatorics study is mostly concerned with Order dimension, Chromatic scale, Graph coloring game, Graph theory and Factor-critical graph. William T. Trotter has included themes like Dimension theory, Hausdorff dimension and Dimension in his Order dimension study.

His work carried out in the field of Graph theory brings together such families of science as Plane, Line, Discrete geometry and Euclidean geometry. His Partially ordered set research integrates issues from Order and Indecomposable module. His work in Bounded function addresses subjects such as Graph, which are connected to disciplines such as Degree.

- Extremal problems in discrete geometry (516 citations)
- Combinatorics and Partially Ordered Sets: Dimension Theory (469 citations)
- The Ramsey Number of a Graph with Bounded Maximum Degree (163 citations)

His primary areas of investigation include Combinatorics, Discrete mathematics, Partially ordered set, Dimension and Graph. His study in Combinatorics is interdisciplinary in nature, drawing from both Arbitrarily large and Bounded function. His Bounded function research is multidisciplinary, relying on both Graph theory, Treewidth and Planar graph.

His Discrete mathematics study which covers Interval that intersects with Sequence. His Partially ordered set research focuses on Star product and how it relates to Tree. His Dimension research focuses on subjects like Intersection, which are linked to Characterization.

- Combinatorics (102.42%)
- Discrete mathematics (73.94%)
- Partially ordered set (55.15%)

- Combinatorics (102.42%)
- Partially ordered set (55.15%)
- Graph (17.58%)

Combinatorics, Partially ordered set, Graph, Dimension and Discrete mathematics are his primary areas of study. His Combinatorics study combines topics from a wide range of disciplines, such as Upper and lower bounds and Arbitrarily large. His work focuses on many connections between Partially ordered set and other disciplines, such as Bounded function, that overlap with his field of interest in Treewidth and Graph theory.

His work in the fields of Graph, such as Graph coloring, Fractional coloring and Complete coloring, intersects with other areas such as Performance ratio. His work deals with themes such as Graph and Block, which intersect with Dimension. His study in the fields of Interval order, Graded poset, Order dimension and Integer under the domain of Discrete mathematics overlaps with other disciplines such as Maximum dimension.

- Tree-width and dimension (32 citations)
- On the dimension of posets with cover graphs of treewidth 2 (25 citations)
- Posets and VPG Graphs (14 citations)

- Combinatorics
- Geometry
- Real number

William T. Trotter mostly deals with Combinatorics, Partially ordered set, Graph, Bounded function and Discrete mathematics. His work in Partially ordered set tackles topics such as Dimension which are related to areas like Integer and Multiplicative constant. His study focuses on the intersection of Graph and fields such as Arbitrarily large with connections in the field of Pathwidth.

His studies deal with areas such as Measure, Graph theory, Representation and Treewidth as well as Bounded function. His Graph theory research is multidisciplinary, incorporating perspectives in Cover, Planarity testing and Planar graph. The concepts of his Discrete mathematics study are interwoven with issues in Upper and lower bounds and Of the form.

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.

Combinatorics and Partially Ordered Sets: Dimension Theory

William T. Trotter.

**(1992)**

953 Citations

Combinatorics and Partially Ordered Sets: Dimension Theory

William T. Trotter.

**(1992)**

953 Citations

Extremal problems in discrete geometry

Endre Szemerédi;William T. Trotter.

Combinatorica **(1983)**

610 Citations

Extremal problems in discrete geometry

Endre Szemerédi;William T. Trotter.

Combinatorica **(1983)**

610 Citations

Unit distances in the Euclidean plane

Joel Spencer;Endre Szemeredi;Endre Szemeredi;WT Trotter.

**(1984)**

217 Citations

Unit distances in the Euclidean plane

Joel Spencer;Endre Szemeredi;Endre Szemeredi;WT Trotter.

**(1984)**

217 Citations

On the game chromatic number of some classes of graphs

U. Faigle;Walter Kern;H. Kierstead;W.T. Trotter.

Ars Combinatoria **(1993)**

209 Citations

On the game chromatic number of some classes of graphs

U. Faigle;Walter Kern;H. Kierstead;W.T. Trotter.

Ars Combinatoria **(1993)**

209 Citations

Planar graph coloring with an uncooperative partner

H. A. Kierstead;W. T. Trotter.

Journal of Graph Theory **(1994)**

204 Citations

Planar graph coloring with an uncooperative partner

H. A. Kierstead;W. T. Trotter.

Journal of Graph Theory **(1994)**

204 Citations

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