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- János Pach

Mathematics

Hungary

2022

Engineering and Technology

Hungary

2022

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
65
Citations
14,559
410
World Ranking
281
National Ranking
4

Engineering and Technology
D-index
65
Citations
14,145
337
World Ranking
713
National Ranking
2

2022 - Research.com Engineering and Technology in Hungary Leader Award

2022 - Research.com Mathematics in Hungary Leader Award

2016 - Fellow of the American Mathematical Society For contributions to discrete and combinatorial geometry and to convexity and combinatorics.

2014 - Member of Academia Europaea

2011 - ACM Fellow For contributions to computational geometry.

- Combinatorics
- Geometry
- Discrete mathematics

His scientific interests lie mostly in Combinatorics, Discrete mathematics, Planar graph, Graph and Discrete geometry. His research in Combinatorics intersects with topics in Plane, Upper and lower bounds and Type. The concepts of his Planar graph study are interwoven with issues in Complement graph and Planar straight-line graph.

His Planar straight-line graph research is multidisciplinary, relying on both Linkless embedding, Embedding and Book embedding. His Graph research includes elements of Pairwise comparison and Lemma. His Discrete geometry research is multidisciplinary, incorporating perspectives in Minkowski space, Computational geometry, Series and Pure mathematics.

- Research Problems in Discrete Geometry (644 citations)
- How to draw a planar graph on a grid (618 citations)
- How to draw a planar graph on a grid (618 citations)

János Pach focuses on Combinatorics, Discrete mathematics, Plane, Graph and Conjecture. The Combinatorics study combines topics in areas such as Upper and lower bounds, Bounded function and Regular polygon. His Bounded function study combines topics in areas such as Hyperplane and Finite set.

His work in Topological graph, Complement graph, 1-planar graph, Multiple edges and Disjoint sets is related to Discrete mathematics. His Plane study deals with Point intersecting with Simple. The various areas that János Pach examines in his Planar graph study include Planar straight-line graph and Book embedding.

- Combinatorics (103.25%)
- Discrete mathematics (44.44%)
- Plane (23.93%)

- Combinatorics (103.25%)
- Conjecture (13.68%)
- Vertex (12.82%)

His primary areas of study are Combinatorics, Conjecture, Vertex, Graph and Plane. His Combinatorics research is multidisciplinary, relying on both Upper and lower bounds, Bounded function and Constant. His Conjecture study also includes fields such as

- Simple which is related to area like Arithmetic progression and Arithmetic,
- Lemma which intersects with area such as Discrete geometry.

His Vertex research is multidisciplinary, incorporating elements of Multiple edges, Multigraph and Ordered graph. He combines subjects such as Intersection, Point, Pairwise comparison and Perimeter with his study of Plane. His studies deal with areas such as Discrete mathematics, Riemann surface, Boundary, Simply connected space and Ackermann function as well as Jordan curve theorem.

- On Arrangements of Jordan Arcs With Three Intersections Per Pair (24 citations)
- On Arrangements of Jordan Arcs With Three Intersections Per Pair (24 citations)
- Note on k-planar crossing numbers (12 citations)

- Geometry
- Combinatorics
- Algebra

Combinatorics, Graph, Plane, Vertex and Bounded function are his primary areas of study. His Combinatorics study incorporates themes from Upper and lower bounds, Perimeter and Constant. Many of his research projects under Graph are closely connected to Difficult problem with Difficult problem, tying the diverse disciplines of science together.

His studies in Plane integrate themes in fields like Chromatic scale, Disjoint sets, Family of curves, Jordan curve theorem and Ackermann function. His Vertex research integrates issues from Binary logarithm, Monotone polygon and Complete bipartite graph. The study incorporates disciplines such as Discrete mathematics, Riemann surface, Boundary, Simply connected space and Function in addition to Bounded function.

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.

Research Problems in Discrete Geometry

János Pach;Peter Brass;William Moser.

**(2005)**

1085 Citations

Combinatorial Geometry

Janos Pach;K P Agarwal.

**(1995)**

1042 Citations

How to draw a planar graph on a grid

H. De Fraysseix;J. Pach;J. Pach;R. Pollack.

Combinatorica **(1990)**

821 Citations

On the union of Jordan regions and collision-free translational motion amidst polygonal obstacles

Klara Kedem;Ron Livne;János Pach;Micha Sharir.

Discrete and Computational Geometry **(1986)**

453 Citations

Graphs drawn with few crossings per edge

János Pach;Géza Tóth.

Combinatorica **(1997)**

363 Citations

The hippocampus as a cognitive graph.

Robert U. Muller;Matt Stead;Janos Pach.

The Journal of General Physiology **(1996)**

355 Citations

Combinatorial Geometry: Pach/Combinatorial

János Pach;Pankaj K. Agarwal.

**(1995)**

323 Citations

Small sets supporting fary embeddings of planar graphs

Hubert de Fraysseix;János Pach;Richard Pollack.

symposium on the theory of computing **(1988)**

260 Citations

Embedding planar graphs at fixed vertex locations

János Pach;Rephael Wenger.

Graphs and Combinatorics **(2001)**

208 Citations

Applications of the crossing number

János Pach;János Pach;Farhad Shahrokhi;Mario Szegedy.

Algorithmica **(1996)**

193 Citations

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