H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics D-index 69 Citations 16,456 350 World Ranking 133 National Ranking 3
Engineering and Technology D-index 65 Citations 13,345 320 World Ranking 422 National Ranking 3

Research.com Recognitions

Awards & Achievements

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.

Overview

What is he best known for?

The fields of study he is best known for:

  • 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.

His most cited work include:

  • 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)

What are the main themes of his work throughout his whole career to date?

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.

He most often published in these fields:

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

What were the highlights of his more recent work (between 2017-2021)?

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

In recent papers he was focusing on the following fields of study:

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.

Between 2017 and 2021, his most popular works were:

  • 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)

In his most recent research, the most cited papers focused on:

  • 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.

Best Publications

Research Problems in Discrete Geometry

János Pach;Peter Brass;William Moser.
(2005)

1051 Citations

Combinatorial Geometry

Janos Pach;K P Agarwal.
(1995)

1017 Citations

How to draw a planar graph on a grid

H. De Fraysseix;J. Pach;J. Pach;R. Pollack.
Combinatorica (1990)

802 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)

439 Citations

Graphs drawn with few crossings per edge

János Pach;Géza Tóth.
Combinatorica (1997)

343 Citations

The hippocampus as a cognitive graph.

Robert U. Muller;Matt Stead;Janos Pach.
The Journal of General Physiology (1996)

331 Citations

Combinatorial Geometry: Pach/Combinatorial

János Pach;Pankaj K. Agarwal.
(1995)

328 Citations

Small sets supporting fary embeddings of planar graphs

Hubert de Fraysseix;János Pach;Richard Pollack.
symposium on the theory of computing (1988)

256 Citations

Fat Triangles Determine Linearly Many Holes

Jiri Matousek;Janos Pach;Micha Sharir;Shmuel Sifrony.
SIAM Journal on Computing (1994)

180 Citations

Almost tight bounds for e-nets

János Komlós;János Pach;Gerhard Woeginger.
Discrete and Computational Geometry (1992)

173 Citations

Editorial Boards

Discrete and Computational Geometry
(Impact Factor: 0.639)

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