23 citations · 45 across the 14 of their papers we have counts for
17 papers
A two-vertex theorem for normal tilings
Gábor Domokos, Ákos G. Horváth, Krisztina Regős
We regard a smooth, -dimensional manifold and its normal tiling , the cells of which may have non-smooth or smooth vertices (at the latter, two edges meet at…
On the coordinates of minimal vectors in a Minkowski-reduced basis
Ákos G. Horváth
Finding the shortest vectors in a lattice is an NP-hard problem, so low-dimensional results also play an essential role in lattice reduction theory. Using Ryskov's result for the a…
Diameter, width and thickness in the hyperbolic plane
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 convex bodies that are characterizable by volume function
Ákos G. Horváth
The "old-new" concept of 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 covar…
Gallucci's axiom revisited
Ákos G. Horváth
In this paper we propose a well-justified synthetic approach of the projective space. We define the concepts of plane and space of incidence and also the Gallucci's axiom as an axi…
On the constructibility of the axes of an ellipsoid
Ákos G. Horváth, István Prok
In this paper we discuss Chasles's construction on ellipsoid to draw the semi-axes from a complete system of conjugate diameters. We prove that there is such situation when the con…