Výsledky vyhledávání - "Ákos G. Horváth"

Strongly self-dual polytopes and distance graphs in the unit sphere

Autor: Ákos G. Horváth

Publikováno v: Acta Mathematica Hungarica. 163:640-651

Lovasz proved that the chromatic number of the graph formed by the principal diagonals of an $$n$$ -dimensional strongly self-dual polytope is greater than or equal to $$n+1$$ . There is equality if the length of the principal diagonals is greater th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8fc62bf35bfbdae6d8c92358f27b5b73
https://doi.org/10.1007/s10474-020-01106-6

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On Convex Bodies that are Characterizable by Volume Function

Autor: Ákos G. Horváth

Publikováno v: Arnold Mathematical Journal. 6:1-20

The “old-new” concept of a convex-hull function was investigated by several authors in the last seventy years. A recent research on it led to some other volume functions as the covariogram function, the widthness function or the so-called brightn

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::87641eb52a5eedfd2ff63b36e4b73197
https://doi.org/10.1007/s40598-020-00132-0

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A two-vertex theorem for normal tilings

Autor: Gábor Domokos, Ákos G. Horváth, Krisztina Regős

We regard a smooth, $d=2$-dimensional manifold $\mathcal{M}$ and its normal tiling $M$, the cells of which may have non-smooth or smooth vertices (at the latter, two edges meet at 180 degrees.) We denote the average number (per cell) of non-smooth ve

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe883bb128579a5dbf9325096f1a5a82
http://arxiv.org/abs/2110.02323

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The inverse problem on Roulettes in normed planes

Autor: Horst Martini, Ákos G. Horváth, Vitor Balestro

Publikováno v: Analysis and Mathematical Physics. 9:2413-2434

We investigate an inverse problem referring to roulettes in normed planes, thus generalizing analogous results of Bloom and Whitt on the Euclidean subcase. More precisely, we prove that a given curve can be traced by rolling another curve along a lin

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6600f83983d06c25fb53505c0ce0f610
https://doi.org/10.1007/s13324-019-00343-5

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Diameter, width and thickness in the hyperbolic plane

Autor: Ákos G. Horváth

This paper contains a new concept to measure the width and thickness of a convex body in the hyperbolic plane. We compare the known concepts with the new one and prove some results on bodies of constant width, constant diameter and given thickness.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39ac681254ba024f94fe25b55a64c564
http://arxiv.org/abs/2011.14739

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Towards the Next Generation of Reactive Model Transformations on Low-Code Platforms: Three Research Lines

Autor: Ákos G. Horváth, Manuel Wimmer, Benedek Horváth

Publikováno v: Proceedings of the 23rd ACM/IEEE International Conference on Model Driven Engineering Languages and Systems: Companion Proceedings
MODELS Companion

Low-Code Development Platforms have emerged as the next-generation, cloud-enabled collaborative platforms. These platforms adopt the principles of Model-Driven Engineering, where models are used as first-class citizens to build complex systems, and m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71543cc449744f856b6d4f70aa5fcc45
https://zenodo.org/record/4314584

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Central quadrics in Euclidean n-space - metric and focal properties

Autor: Ákos G. Horváth

Publikováno v: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 60:351-378

In this paper metric properties of central quadrics and cones in n-dimensional Euclidean space are discussed. Basic statements on the system of confocal regular quadrics are proved, and some interesting analogues of famous three-dimensional theorems

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::357191b683e925831d54c12f2ab2fabe
https://doi.org/10.1007/s13366-018-0413-7

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On the volume growth of the hyperbolic regular $$\varvec{n}$$ n -simplex

Autor: Ákos G. Horváth

Publikováno v: Aequationes mathematicae. 91:401-418

In this paper we give lower and upper bounds for the volume growth of a regular hyperbolic simplex, namely for the ratio of the n-dimensional volume of a regular simplex and the $(n-1)$-dimensional volume of its facets. In addition to the methods o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e8699c187d6d75ef0c932120412313b2
https://doi.org/10.1007/s00010-016-0465-4

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An extremal problem of regular simplices: the five-dimensional case

Autor: Ákos G. Horváth

Publikováno v: Journal of Geometry. 110

The new result of this paper is connected with the following problem: consider a supporting hyperplane of a regular simplex and its reflected image at this hyperplane. When will the volume of the convex hull of these two simplices be maximal? We prov

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e7cd5415cb3ea365e9f755965ef6ab3e
https://doi.org/10.1007/s00022-019-0472-4

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Angles in normed spaces

Autor: Horst Martini, Ákos G. Horváth, Vitor Balestro, Ralph Teixeira

Publikováno v: Aequationes mathematicae. 91:201-236

The concepts of angle, angle functions, and the question how to measure angles present old and well-established mathematical topics referring to the Euclidean space, and there exist also various extensions to non-Euclidean spaces of different types.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7b63f06bab7f0a77b3b42998c63567fc
https://doi.org/10.1007/s00010-016-0445-8

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