Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Aladár Heppes"'
Autor:
Jesús Jerónimo-Castro, Aladár Heppes
Publikováno v:
Convexity and Discrete Geometry Including Graph Theory ISBN: 9783319281841
Let K denote an oval, a centrally symmetric compact convex domain with non-empty interior. A family of translates of K is said to have property T(k) if, for every subset of at most k translates, there exists a common line transversal intersecting all
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::64c5bd07d8143bcf5c249dd55b5d8d71
https://doi.org/10.1007/978-3-319-28186-5_13
https://doi.org/10.1007/978-3-319-28186-5_13
Autor:
Aladár Heppes
Publikováno v:
Discrete & Computational Geometry. 45:321-328
Let K denote an oval, a centrally symmetric compact convex domain with non-empty interior. A family of translates of K is said to have property T(k) if for every subset of at most k translates there exists a common line transversal intersecting all o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::395f8ea177bd9b65e24f89dbf47f703e
https://doi.org/10.1007/s00454-010-9292-x
https://doi.org/10.1007/s00454-010-9292-x
Autor:
Aladár Heppes
Publikováno v:
Canadian Mathematical Bulletin. 52:388-402
Let K denote an oval, a centrally symmetric compact convex domain with non-empty interior. A family of translates of K is said to have property T(k) if for every subset of at most k translates there exists a common line transversal intersecting all o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d5958e1f19c0df91cff51702b428ca6
https://doi.org/10.4153/cmb-2009-042-6
https://doi.org/10.4153/cmb-2009-042-6
Autor:
Aladár Heppes
Publikováno v:
Discrete & Computational Geometry. 40:312-318
A family of closed discs is said to have property T(k) if to every subset of at most k discs there belongs a common line transversal. A family of discs is said to be d-disjoint, d≥1, if the mutual distance between the centers of the discs is larger
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::039a64c7502f84d5824320197d6a8229
https://doi.org/10.1007/s00454-008-9071-0
https://doi.org/10.1007/s00454-008-9071-0
Autor:
Aladár Heppes
Publikováno v:
Discrete & Computational Geometry. 38:289-304
A family of disjoint closed congruent discs is said to have property T(3) if to every triple of discs there exists a common line transversal. Katchalski and Lewis [10] proved the existence of a constant mdisc such that to every family of disjoint clo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f3629362b605d85fc361a0b6ab8404a
https://doi.org/10.1007/s00454-007-1339-2
https://doi.org/10.1007/s00454-007-1339-2
Autor:
Aladár Heppes
Publikováno v:
Discrete & Computational Geometry. 34:463-474
A result of Eckhoff implies that to every finite T(3)-family of pairwise disjoint copies of a closed disc of unit diameter there exists a strip of width 1 meeting all members of the family. Our goal is to generalize this result giving a stricter uppe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e4612a348d38b91335772ff086aa7652
https://doi.org/10.1007/s00454-005-1181-3
https://doi.org/10.1007/s00454-005-1181-3
Autor:
Aladár Heppes
Publikováno v:
Discrete and Computational Geometry. 30:241-262
The main purpose of this paper is to prove some long-standing conjectures concerning the packing density of some compact arrangements of discs of two different radii in the Euclidean plane. To reach this goal a new method, called cell balancing, is p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f3b427b1964a1cf436cf76ea56ed864
https://doi.org/10.1007/s00454-003-0007-6
https://doi.org/10.1007/s00454-003-0007-6
Autor:
Aladár Heppes
Publikováno v:
Periodica Mathematica Hungarica. 45:65-71
In the present paper lattice packings of open unit discs are considered in the Euclidean plane. Usually, efficiency of a packing is measured by its density, which in case of lattice packings is the quotient of the area of the discs and the area of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5418227884fefe7f123063a3d60b515a
https://doi.org/10.1023/a:1022345929586
https://doi.org/10.1023/a:1022345929586
Autor:
August Florian, Aladár Heppes
Publikováno v:
Discrete & Computational Geometry. 23:225-245
In this paper we consider coverings of the plane by circles of two different sizes. We establish a sufficient condition for such a covering to be solid in the sense of L. Fejes Toth [6]. As an application of this general theorem we prove that there e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ec1f5aa967f3fc323324addf5e44de4
https://doi.org/10.1007/pl00009497
https://doi.org/10.1007/pl00009497
Autor:
Aladár Heppes
Publikováno v:
Periodica Mathematica Hungarica. 39:129-134
Melissen [1] considered packings of k congruent circles in the symmetric flat torus T 2 = [0, 1)2 and determined the largest possible radius for k ≤ 4. In the present paper the analogous problem is studied for an arbitrary asymmetric torus T′2 =
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fc68d95c19cf4dea0dc6202279fa9e3c
https://doi.org/10.1023/a:1004847008346
https://doi.org/10.1023/a:1004847008346