Károly Bezdek

Q: What Schools Are Affiliated With Károly Bezdek

Károly Bezdek is affiliated with the following schools: University of Calgary, Eötvös Loránd University

Károly Bezdek's AcademicInfluence.com Rankings

Károly Bezdek

Mathematics

#3789

World Rank

#5512

Historical Rank

Geometry

#112

World Rank

#172

Historical Rank

Measure Theory

#3886

World Rank

#4580

Historical Rank

mathematics Degrees

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Mathematics

Károly Bezdek's Degrees

PhD Mathematics Eötvös Loránd University

Why Is Károly Bezdek Influential?

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According to Wikipedia, Károly Bezdek is a Hungarian-Canadian mathematician. He is a professor as well as a Canada Research Chair of mathematics and the director of the Centre for Computational and Discrete Geometry at the University of Calgary in Calgary, Alberta, Canada. Also he is a professor of mathematics at the University of Pannonia in Veszprém, Hungary. His main research interests are in geometry in particular, in combinatorial, computational, convex, and discrete geometry. He has authored 3 books and more than 130 research papers. He is a founding Editor-in-Chief of the e-journal Contributions to Discrete Mathematics .

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Károly Bezdek's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Pushing disks apart - The Kneser-Poulsen conjecture in the plane (2001) (76)
Ball-Polyhedra (2007) (74)
Classical Topics in Discrete Geometry (2010) (58)
Sphere packings revisited (2006) (57)
THE PROBLEM OF ILLUMINATION OF THE BOUNDARY OF A CONVEX BODY BY AFFINE SUBSPACES (1991) (40)
The geometry of homothetic covering and illumination (2016) (39)
Lectures on Sphere Arrangements – the Discrete Geometric Side (2013) (38)
The illumination conjecture and its extensions (2006) (33)
Finite and Uniform Stability of Sphere Packings (1998) (32)
Hadwiger-Levi’s Covering Problem Revisited (1993) (31)
On a stronger form of Roger's lemma and the minimum surface area of Voronoi cells in unit ball packings (2000) (29)
Contact graphs of unit sphere packings revisited (2012) (28)
Covering curves by translates of a convex set (1989) (28)
Shortest billiard trajectories (2009) (27)
On the Maximum Number of Touching Pairs in a Finite Packing of Translates of a Convex Body (2002) (27)
Rigidity of ball-polyhedra in Euclidean 3-space (2006) (26)
A Proof of Hadwiger's Covering Conjecture for Dual Cyclic Polytopes (1997) (22)
Illuminating Spindle Convex Bodies and Minimizing the Volume of Spherical Sets of Constant Width (2011) (20)
The Kneser–Poulsen Conjecture for Spherical Polytopes (2004) (20)
On the vertex index of convex bodies (2007) (20)
On the Perimeter of the Intersection of Congruent Disks (2006) (19)
On k+-neighbour Packings and One-sided Hadwiger Configurations (2003) (17)
Tarski's plank problem revisited ∗ (2009) (17)
Covering Large Balls with Convex Sets in Spherical Space (2011) (17)
On contact numbers of totally separable unit sphere packings (2015) (16)
Contact Numbers for Sphere Packings (2016) (16)
TWO-DISTANCE PRESERVING FUNCTIONS FROM EUCLIDEAN SPACE (2000) (15)
Finding the Best Face on a Voronoi Polyhedron – The Strong Dodecahedral Conjecture Revisited (2005) (15)
A Solution of Conway's Fried Potato Problem (1995) (13)
From r-dual sets to uniform contractions (2017) (13)
On The Mth Petty Numbers of Normed Spaces (2003) (12)
Improving Rogers’ Upper Bound for the Density of Unit Ball Packings via Estimating the Surface Area of Voronoi Cells from Below in Euclidean \sl d -Space for All \sl d ≥ \bf 8 (2001) (12)
Isoperimetric Inequalities and the Dodecahedral Conjecture (1997) (12)
Density bounds for outer parallel domains of unit ball packings (2014) (12)
Covering Convex Bodies by Cylinders and Lattice Points by Flats (2009) (12)
On the X-ray Number of Almost Smooth Convex Bodies and of Convex Bodies of Constant Width (2009) (12)
The Kneser–Poulsen Conjecture for Special Contractions (2017) (12)
Hadwiger's Covering Conjecture and its Relatives (1992) (10)
Discrete geometry and optimization (2013) (10)
On the illumination of smooth convex bodies (1992) (10)
Conway's fried potato problem revisited (1996) (10)
The Radon Number of the Three-Dimensional Integer Lattice (2003) (9)
On the transversal Helly numbers of disjoint and overlapping disks (2006) (8)
An illumination problem for zonoids (1993) (8)
A point set everywhere dense in the plane (1985) (8)
On the successive illumination parameters of convex bodies (2006) (7)
ALMOST EQUIDISTANT POINTS ON SD-1 (2000) (7)
Hadwiger's covering conjecture and low dimensional dual cyclic polytopes (1993) (7)
On rhombic dodecahedra. (2000) (7)
On contact graphs of totally separable domains (2017) (6)
On the covering index of convex bodies (2015) (6)
On hyperplanes and polytopes (1990) (6)
Bounds for Totally Separable Translative Packings in the Plane (2017) (5)
On the intrinsic volumes of intersections of congruent balls (2018) (5)
On a discrete Dido-type question. (1989) (5)
Discrete Geometry and Symmetry (2015) (5)
Minimizing the mean projections of finite ρ-separable packings ∗† (2018) (4)
Volumetric Discrete Geometry (2019) (4)
Edge-Antipodal 3-Polytopes (2007) (4)
On Non-separable Families of Positive Homothetic Convex Bodies (2016) (4)
Facets with fewest vertices (1990) (4)
Kepler’s Conjecture and the Dodecahedral Conjecture (1996) (4)
ON A STRONG VERSION OF THE KEPLER CONJECTURE (2011) (4)
On contact graphs of totally separable packings in low dimensions (2018) (4)
From the separable Tammes problem to extremal distributions of great circles in the unit sphere (2022) (4)
On the Monotonicity of the Volume of Hyperbolic Convex Polyhedra (2005) (4)
On the illumination of unbounded closed convex sets (1992) (4)
VORONOI POLYHEDRA OF UNIT BALL PACKINGS WITH SMALL SURFACE AREA (2000) (4)
From the Kneser-Poulsen conjecture to ball-polyhedra via Voronoi diagrams (2007) (3)
On illumination in the plane by line segments (1992) (3)
Research problems (1992) (3)
Circle packings into convex domains of the Euclidean and hyperbolic plane and the sphere (1986) (3)
A lower bound for the mean width of Voronoi polyhedra of unit ball packings in E3 (2000) (3)
On the weighted Kneser-Poulsen conjecture (2008) (3)
Finite and uniform stability of sphere coverings (1995) (3)
Rigid Ball-Polyhedra in Euclidean $$3$$-Space (2011) (3)
Minimal Translation Covers For Sets of Diameter 1 (1997) (3)
Contact numbers for congruent sphere packings (2011) (3)
A note on the illumination of convex bodies (1993) (3)
Light-Sources That Illuminate the Boundary Points All But the Vertices of a Convex Polyhedron (1997) (2)
The geometry of illumination (2016) (2)
DANZER-GRüNBAUM'S THEOREM REVISITED (2000) (2)
From spherical to Euclidean illumination (2019) (2)
Ball-Polyhedra as Intersections of Congruent Balls (2010) (2)
Rigidity of Ball-polyhedra via Truncated Voronoi and Delaunay Complexes (2012) (2)
Antipodality in hyperbolic space (2006) (2)
Lower bounds for packing densities (1991) (2)
The polyhedral Tammes problem (2001) (2)
Selected Open Problems in Discrete Geometry and Optimization (2013) (2)
The illumination conjecture for spindle convex bodies (2011) (1)
The thinnest holding-lattice of a set (1987) (1)
Minimizing the mean projections of finite $$\rho $$ρ-separable packings (2017) (1)
Analogues of Alexandrov's and Stoker's theorems for ball-polyhedra (2012) (1)
On the covering index of convex bodies (2016) (1)
ON UNIFORM CONTRACTIONS OF BALLS IN MINKOWSKI SPACES (2019) (1)
On the second smallest distance between finitely many points on the sphere (1989) (1)
Volumetric bounds for intersections of congruent balls in Euclidean spaces (2021) (1)
Contact graphs of unit sphere packings revisited (2013) (1)
On contact graphs of totally separable domains (2018) (1)
Volumetric bounds for intersections of congruent balls (2019) (1)
Densest Packings of Spheres (1)
Plank theorems via successive inradii (2014) (1)
On Gromov's conjecture for uniform contractions (2018) (1)
Interior points of the convex hull of few points in $$\mathbb{E}^d $$ (1991) (1)
Soft Packings, Nested Clusters, and Condensed Matter (2020) (0)
More Proofs on Volumetric Properties of Separable Packings (2019) (0)
Selected Proofs on the Kneser–Poulsen Conjecture (2010) (0)
On Planar Tilings With Finitely Many Sorts of Tiles (1990) (0)
The Kneser–Poulsen Conjecture for Special Contractions (2018) (0)
From r-dual sets to uniform contractions (2017) (0)
Packing Convex Bodies by Cylinders (2016) (0)
Coverings by Planks and Cylinders (2010) (0)
1 1 D ec 2 01 9 Volumetric bounds for intersections of congruent balls ∗ (2019) (0)
Selected Proofs on Coverings by Planks and Cylinders (2010) (0)
From Normal Tilings to Voronoi Tilings of Sphere Packings in Euclidean 3-space (2012) (0)
Minimizing the mean projections of finite ρ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\rho $$\end{document}-separ (2018) (0)
Proofs on Volumetric Properties of (m, d)-scribed Polytopes (2019) (0)
Proofs on Unit Sphere Packings (2013) (0)
On certain translation covers (1990) (0)
Contact Numbers for Congruent Sphere Packings Via Voronoi Diagrams (2012) (0)
Ball-Polyhedra and Spindle Convex Bodies (2013) (0)
Book Review: Combinatorial geometry (1998) (0)
3rd Geometry Festival: An International Conference on Packings, Coverings and Tilings (1997) (0)
4th GEOMETRY FESTIVAL, BUDAPEST (2000) (0)
Bounds for Totally Separable Translative Packings in the Plane (2018) (0)
Globally Rigid Ball-Polyhedra in Euclidean 3-Space (2013) (0)
Illuminating spiky balls and cap bodies (2022) (0)
On Non-separable Families of Positive Homothetic Convex Bodies (2016) (0)
More on Volumetric Properties of Separable Packings (2019) (0)
The Kneser-Poulsen Conjecture Revisited (2019) (0)
Contact Numbers for Congruent Sphere Packings in Euclidean 3-Space (2012) (0)
Open Problems: An Overview (2019) (0)
Proofs on the Volume of the Convex Hull of a Pair of Convex Bodies (2019) (0)
From spherical to Euclidean illumination (2019) (0)
Unit Sphere Packings (2013) (0)
Proofs on Contractions of Sphere Arrangements (2013) (0)
On a strengthening of the Blaschke–Leichtweiss theorem (2021) (0)
Proofs on the Kneser-Poulsen Conjecture (2019) (0)
Volumetric Bounds for Contact Numbers (2019) (0)
Proofs on Ball-Polyhedra and Spindle Convex Bodies (2013) (0)
Volumetric Properties of (m, d)-scribed Polytopes (2019) (0)
Research Problems: An Overview (2013) (0)
Sphere packings in 3-space Károly Bezdek (2004) (0)
Density bounds for outer parallel domains of unit ball packings (2015) (0)
Selected Proofs on Ball-Polyhedra (2010) (0)
Contact numbers for unit ball packings: old and new (2015) (0)
Classical topics in discrete geometry / Karoly Bezdek (2010) (0)
From dual bodies to the Kneser-Poulsen conjecture (2017) (0)
Discrete Geometry Days, 2019 July, Budapest (2019) (0)
Rigid Ball-Polyhedra in Euclidean \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$3$$\end{document}-Space (2012) (0)
M G ] 1 9 O ct 2 01 1 On the vertex index of convex bodies ∗ (2021) (0)
Report for the BIRS workshop 07w5111 on "Discrete geometry and topology in low dimensions" (2009) (0)
Selected Proofs on Sphere Packings (2010) (0)
On k-diametral point configurations in Minkowski spaces (2020) (0)
On the Volume of Finite Arrangements of Spheres (2010) (0)
On Minimal Tilings with Convex Cells Each Containing a Unit Ball (2013) (0)
Contractions of Sphere Arrangements (2013) (0)
On the affine plank problem via successive inradii (2013) (0)
Coverings by Homothetic Bodies - Illumination and Related Topics (2010) (0)
Selected Proofs on Illumination and Related Topics (2010) (0)
On $\lambda$-separable packings in the plane (2023) (0)
On the volume of unions and intersections of congruent balls under uniform contractions (2019) (0)
Coverings by Cylinders (2013) (0)
Selected Proofs on Finite Packings of Translates of Convex Bodies (2010) (0)
Spindle starshaped sets (2014) (0)
On the (n − 2)-transversals of n convex subsets of the plane (1991) (0)
Volume of the Convex Hull of a Pair of Convex Bodies (2019) (0)
Finite Packings by Translates of Convex Bodies (2010) (0)
Proofs on Coverings by Cylinders (2013) (0)
Proofs on Volumetric Bounds for Contact Numbers (2019) (0)

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