3 citations · 3 across the 5 of their papers we have counts for
5 papers
Parable of the Parabola
Vladimir Dragović, Mohammad Hassan Murad
We study triangles and quadrilaterals which are inscribed in a circle and circumscribed about a parabola. Although these are particular cases of the celebrated Poncelet's Theorem,…
Magic Billiards: the Case of Elliptical Boundaries
Vladimir Dragović, Milena Radnović
In this work, we introduce a novel concept of magic billiards, which can be seen as an umbrella, unifying several well-known generalisations of mathematical billiards. We analyse p…
Complexity of Lasso with Normalized Data, Geometry and Combinatorics
Vladimir Dragović, Borislav Gajić
We observe and prove that the complexity of lasso for normalized data is smaller than for nonnormalized ones by relating this question to extremal combinatorics and algebraic graph…
Is every triangle a trajectory of an elliptical billiard?
Vladimir Dragović, Milena Radnović
Using Marden's Theorem from geometric theory of polynomials, we show that for every triangle there is a unique ellipse such that the triangle is a billiard trajectory within that e…
Billiard Partitions, Fibonacci Sequences, SIP Classes, and Quivers
Vladimir Dragović, Marko Stošić
Starting from billiard partitions which arose recently in the description of periodic trajectories of ellipsoidal billiards in -dimensional Euclidean space, we introduce a new t…