What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Combinatorics (102.42%)
- Discrete mathematics (73.94%)
- Partially ordered set (55.15%)
What were the highlights of his more recent work (between 2015-2021)?
- Combinatorics (102.42%)
- Partially ordered set (55.15%)
- Graph (17.58%)
In recent papers he was focusing on the following fields of study:
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.
Between 2015 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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