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1

On the illumination of smooth convex bodies

Journal:

Archiv der Mathematik

Year:

1992

Language:

english

File:

PDF, 199 KB

english, 1992

2

Hadwiger's Covering Conjecture and its Relatives

Journal:

American Mathematical Monthly

Year:

1992

Language:

english

File:

PDF, 354 KB

english, 1992

3

Isoperimetric Inequalities and the Dodecahedral Conjecture

Bezdek, Károly

Journal:

International Journal of Mathematics

Year:

1997

Language:

english

File:

PDF, 893 KB

english, 1997

4

Circle packings into convex domains of the Euclidean and hyperbolic plane and the sphere

Journal:

Geometriae Dedicata

Year:

1986

Language:

english

File:

PDF, 280 KB

english, 1986

5

The Kneser–Poulsen Conjecture for Spherical Polytopes

Károly Bezdek, Robert Connelly

Journal:

Discrete & Computational Geometry

Year:

2004

Language:

english

File:

PDF, 159 KB

english, 2004

6

Hadwiger's Covering Conjecture and Its Relatives

Bezdek, Károly

Journal:

American Mathematical Monthly

Year:

1992

Language:

english

File:

PDF, 393 KB

english, 1992

7

Pushing disks apart - the Kneser-Poulsen conjecture in the plane

Bezdek, Károly, Connelly, Robert

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2002

Language:

english

File:

PDF, 410 KB

english, 2002

8

Spindle starshaped sets

Bezdek, Károly, Naszódi, Márton

Journal:

Aequationes Mathematicae

Year:

2015

Language:

english

File:

PDF, 355 KB

english, 2015

9

On the second smallest distance between finitely many points on the sphere

András Bezdek, Károly Bezdek

Journal:

Geometriae Dedicata

Year:

1989

Language:

english

File:

PDF, 350 KB

english, 1989

10

ON A STRONG VERSION OF THE KEPLER CONJECTURE

Bezdek, Károly

Journal:

Year:

2013

Language:

english

File:

PDF, 109 KB

english, 2013

11

Kepler’s Conjecture and the Dodecahedral Conjecture

Journal:

Mitteilungen der Deutschen Mathematiker-Vereinigung

Year:

1996

File:

PDF, 2.84 MB

1996

12

Rigidity of ball-polyhedra in Euclidean 3-space

Károly Bezdek, Márton Naszódi

Journal:

European Journal of Combinatorics

Year:

2006

Language:

english

File:

PDF, 280 KB

english, 2006

13

TWO-DISTANCE PRESERVING FUNCTIONS FROM EUCLIDEAN SPACE

Károly Bezdek, Robert Connelly

Journal:

Periodica Mathematica Hungarica

Year:

2000

File:

PDF, 698 KB

2000

14

A Proof of Hadwiger's Covering Conjecture for Dual Cyclic Polytopes

Károly Bezdek, Tibor Bisztriczky

Journal:

Geometriae Dedicata

Year:

1997

Language:

english

File:

PDF, 124 KB

english, 1997

15

On the intrinsic volumes of intersections of congruent balls

Bezdek, Károly

Journal:

Discrete Optimization

Year:

2019

Language:

english

File:

PDF, 664 KB

english, 2019

16

On the weighted Kneser-Poulsen conjecture

Károly Bezdek, Robert Connelly

Journal:

Periodica Mathematica Hungarica

Year:

2008

Language:

english

File:

PDF, 168 KB

english, 2008

17

From spherical to Euclidean illumination

Bezdek, Károly, Lángi, Zsolt

Journal:

Monatshefte für Mathematik

Year:

2019

File:

PDF, 255 KB

2019

18

Minimal Translation Covers For Sets of Diameter 1

Károly Bezdek, Robert Connelly

Journal:

Periodica Mathematica Hungarica

Year:

1997

File:

PDF, 175 KB

1997

19

The illumination conjecture for spindle convex bodies

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2011

Language:

english

File:

PDF, 1.29 MB

english, 2011

20

Problem 82-2

A. Meir, Andras Bezdek and Karoly Bezdek

Journal:

Year:

1983

Language:

english

File:

PDF, 270 KB

english, 1983

21

[Fields Institute Communications] Discrete Geometry and Optimization Volume 69 ||

Bezdek, Karoly, Deza, Antoine, Ye, Yinyu

Year:

2013

Language:

english

File:

PDF, 6.43 MB

english, 2013

22

Finding the Best Face on a Voronoi Polyhedron – The Strong Dodecahedral Conjecture Revisited

Károly Bezdek, Endre Daróczy-Kiss

Journal:

Monatshefte für Mathematik

Year:

2005

Language:

english

File:

PDF, 153 KB

english, 2005

23

Shortest billiard trajectories

Dániel Bezdek, Károly Bezdek

Journal:

Geometriae Dedicata

Year:

2009

Language:

english

File:

PDF, 269 KB

english, 2009

24

4thGEOMETRY FESTIVAL, BUDAPEST

Käroly Bezdek, Robert Connelly

Journal:

Periodica Mathematica Hungarica

Year:

2000

File:

PDF, 157 KB

2000

25

[Fields Institute Monographs] Lectures on Sphere Arrangements – the Discrete Geometric Side Volume 32 ||

Bezdek, Károly

Year:

2013

Language:

english

File:

PDF, 2.81 MB

english, 2013

26

On the illumination of unbounded closed convex sets

Journal:

Israel Journal of Mathematics

Year:

1992

Language:

english

File:

PDF, 413 KB

english, 1992

27

On the covering index of convex bodies

Bezdek, Károly, Khan, Muhammad A.

Journal:

Aequationes Mathematicae

Year:

2016

Language:

english

File:

PDF, 732 KB

english, 2016

28

The problem of illumination of the boundary of a convex body by affine subspaces

Bezdek, Károly

Journal:

Year:

1991

Language:

english

File:

PDF, 720 KB

english, 1991

29

Antipodality in hyperbolic space

Károly Bezdek, Márton Naszódi, Deborah Oliveros

Journal:

Journal of Geometry

Year:

2006

Language:

english

File:

PDF, 105 KB

english, 2006

30

Contact graphs of unit sphere packings revisited

Károly Bezdek, Samuel Reid

Journal:

Journal of Geometry

Year:

2013

Language:

english

File:

PDF, 752 KB

english, 2013

31

Packing Convex Bodies by Cylinders

Bezdek, Károly, Litvak, Alexander E.

Journal:

Discrete & Computational Geometry

Year:

2016

Language:

english

File:

PDF, 423 KB

english, 2016

32

On contact graphs of totally separable packings in low dimensions

Bezdek, Károly, Naszódi, Márton

Journal:

Advances in Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 394 KB

english, 2018

33

[Fields Institute Monographs] Lectures on Sphere Arrangements – the Discrete Geometric Side Volume 32 || Proofs on Coverings by Cylinders

Bezdek, Károly

Year:

2013

Language:

english

File:

PDF, 254 KB

english, 2013

34

Sphere packings revisited

Journal:

European Journal of Combinatorics

Year:

2006

Language:

english

File:

PDF, 285 KB

english, 2006

35

ALMOST EQUIDISTANT POINTS ONSD-1

Károly Bezdek, Zsolt Lángi

Journal:

Periodica Mathematica Hungarica

Year:

2000

File:

PDF, 239 KB

2000

36

Density bounds for outer parallel domains of unit ball packings

Bezdek, Károly, Lángi, Zsolt

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2015

Language:

english

File:

PDF, 1.34 MB

english, 2015

37

From r-dual sets to uniform contractions

Bezdek, Károly

Journal:

Aequationes Mathematicae

Year:

2017

Language:

english

File:

PDF, 510 KB

english, 2017

38

Bounds for Totally Separable Translative Packings in the Plane

Bezdek, Károly, Lángi, Zsolt

Journal:

Discrete & Computational Geometry

Year:

2018

Language:

english

File:

PDF, 805 KB

english, 2018

39

The Radon Number of the Three-Dimensional Integer Lattice

Károly Bezdek, Aart Blokhuis

Journal:

Discrete & Computational Geometry

Year:

2003

Language:

english

File:

PDF, 120 KB

english, 2003

40

Contact Numbers for Congruent Sphere Packings in Euclidean 3-Space

Bezdek, Károly

Journal:

Discrete & Computational Geometry

Year:

2012

Language:

english

File:

PDF, 446 KB

english, 2012

41

Ball-Polyhedra

Karoly Bezdek, Zsolt Langi, Marton Naszodi, Peter Papez

Journal:

Discrete & Computational Geometry

Year:

2007

Language:

english

File:

PDF, 456 KB

english, 2007

42

Light-Sources That Illuminate the Boundary Points All But the Vertices of a Convex Polyhedron

Journal:

Periodica Mathematica Hungarica

Year:

1997

File:

PDF, 194 KB

1997

43

The illumination conjecture and its extensions

Journal:

Periodica Mathematica Hungarica

Year:

2006

Language:

english

File:

PDF, 159 KB

english, 2006

44

The Kneser–Poulsen Conjecture for Special Contractions

Bezdek, Károly, Naszódi, Márton

Journal:

Discrete & Computational Geometry

Year:

2018

Language:

english

File:

PDF, 501 KB

english, 2018

45

On the successive illumination parameters of convex bodies

Károly Bezdek, Károly Böröczky, György Kiss

Journal:

Periodica Mathematica Hungarica

Year:

2006

Language:

english

File:

PDF, 257 KB

english, 2006

46

[Fields Institute Communications] Discrete Geometry and Optimization Volume 69 || On Volumes of Permutation Polytopes

Bezdek, Karoly, Deza, Antoine, Ye, Yinyu

Year:

2013

Language:

english

File:

PDF, 257 KB

english, 2013

47

[IEEE 4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007) - Glamorgan, UK (2007.07.9-2007.07.11)] 4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007) - From the Kneser-Poulsen conjecture to ball-polyhedra via Voronoi diagrams

Year:

2007

Language:

english

File:

PDF, 117 KB

english, 2007

48

On contact numbers of totally separable unit sphere packings

Bezdek, Károly, Szalkai, Balázs, Szalkai, István

Journal:

Discrete Mathematics

Year:

2016

Language:

english

File:

PDF, 406 KB

english, 2016

49

VORONOI POLYHEDRA OF UNIT BALL PACKINGS WITH SMALL SURFACE AREA

Károly Bezdek, Endre Daróczy Kiss, Kai Ju Liu

Journal:

Periodica Mathematica Hungarica

Year:

2000

File:

PDF, 485 KB

2000

50

On the Maximum Number of Touching Pairs in a Finite Packing of Translates of a Convex Body

Journal:

Journal of Combinatorial Theory, Series A

Year:

2002

Language:

english

File:

PDF, 102 KB

english, 2002

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