M. Naszódi

activity

20092020

most citedBall and Spindle Convexity with respect to a Convex Body

23 citations · 51 across the 18 of their papers we have counts for

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Showing 2009Show all

2 papers · 1 filter

math.MG2009★ 13 cited

On the Transversal Number and VC-Dimension of Families of Positive Homothets of a Convex Body

Márton Naszódi, Steven Taschuk

Let F be a family of positive homothets (or translates) of a given convex body K in R^n. We investigate two approaches to measuring the complexity of F. First, we find an upper bou…

math.MG2009★ 1 cited

On the Constant of Homothety for Covering a Convex Set with Its Smaller Copies

Marton Naszodi

Let $H_{d}$ denote the smallest integer $n$ such that for every convex body $K$ in $ℜ^{d}$ there is a $0 < λ < 1$ such that $K$ is covered by $n$ translates of $λ K$ . In the book \emph{R…