What is he best known for?
The fields of study he is best known for:
- Geometry
- Combinatorics
- Discrete mathematics
His main research concerns Combinatorics, Discrete mathematics, Computational geometry, Set and Data structure.
He is interested in Binary logarithm, which is a field of Combinatorics.
His Discrete mathematics study integrates concerns from other disciplines, such as Simplex, Range searching and Combinatorial complexity.
His work carried out in the field of Computational geometry brings together such families of science as Range and Plane.
His Set research is multidisciplinary, relying on both Space and Structure.
While the research belongs to areas of Data structure, Emo Welzl spends his time largely on the problem of Time complexity, intersecting his research to questions surrounding Range, Linear space, Hypersphere and VC dimension.
His most cited work include:
- ź-nets and simplex range queries (662 citations)
- Combinatorial complexity bounds for arrangements of curves and spheres (303 citations)
- A subexponential bound for linear programming (286 citations)
What are the main themes of his work throughout his whole career to date?
Combinatorics, Discrete mathematics, Plane, Upper and lower bounds and General position are his primary areas of study.
Emo Welzl is studying Binary logarithm, which is a component of Combinatorics.
The various areas that he examines in his Discrete mathematics study include Computational geometry and Point set.
His studies in Plane integrate themes in fields like Line and Finite set.
His General position research also works with subjects such as
- Order type which is related to area like Characterization,
- Polytope which connect with Linear programming, Dimension and Simplex algorithm.
His research investigates the connection between Set and topics such as Space that intersect with issues in Structure.
He most often published in these fields:
- Combinatorics (75.12%)
- Discrete mathematics (41.31%)
- Plane (14.55%)
What were the highlights of his more recent work (between 2011-2020)?
- Combinatorics (75.12%)
- Discrete mathematics (41.31%)
- General position (11.27%)
In recent papers he was focusing on the following fields of study:
Emo Welzl mainly focuses on Combinatorics, Discrete mathematics, General position, Order type and Planar graph.
He interconnects Point and Plane in the investigation of issues within Combinatorics.
His work on Satisfiability as part of general Discrete mathematics study is frequently linked to Sampling, therefore connecting diverse disciplines of science.
His biological study spans a wide range of topics, including Extreme point and Convex hull, Regular polygon.
Emo Welzl usually deals with Convex hull and limits it to topics linked to Polytope and Binary logarithm.
His study in Order type is interdisciplinary in nature, drawing from both Characterization and Spatial network.
Between 2011 and 2020, his most popular works were:
- Combinatorial Complexity Bounds for Arrangements of Curves and Surfaces (86 citations)
- Counting plane graphs: Perfect matchings, spanning cycles, and Kasteleyn's technique (32 citations)
- Quantum technology: from research to application (19 citations)
In his most recent research, the most cited papers focused on:
- Geometry
- Combinatorics
- Algebra
His primary areas of investigation include Combinatorics, Discrete mathematics, General position, Upper and lower bounds and Spanning tree.
His study in the field of Euclidean shortest path is also linked to topics like Yen's algorithm.
Emo Welzl specializes in Discrete mathematics, namely Planar graph.
His research in General position tackles topics such as Order type which are related to areas like Antipodal point, Extreme point, Regular polygon and Distribution.
The study incorporates disciplines such as Minimum degree spanning tree, Plane, Point set and Linear algebra in addition to Upper and lower bounds.
His research in Spanning tree intersects with topics in 1-planar graph, Spatial network, Dual graph and Graph.
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