H. Martini

activity

20042021

most citedThe geometry of Minkowski spaces -- a survey. Part I

151 citations · 408 across the 36 of their papers we have counts for

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2 papers · 1 filter

math.CO2021

On the number of antipodal or strictly antipodal pairs of points in finite subsets of $R^{d}$ , III

E. Makai, H. Martini, M. H. Nguyên +2

We improve our earlier upper bound on the numbers of antipodal pairs of points among $n$ points in $R^{3}$ , to $2 n^{2} /5 + O (n^{c})$ , for some $c < 2$ . We prove that the minimal n…

math.CO2010★ 1 cited

On the polygonal diameter of the interior, resp. exterior, of a simple closed polygon in the plane

Yaakov S. Kupitz, Horst Martini, Micha A. Perles

We give a tight upper bound on the polygonal diameter of the interior, resp. exterior, of a simple $n$ -gon, $n \geq 3$ , in the plane as a function of $n$ , and describe an $n$ -gon $(…

On the number of antipodal or strictly antipodal pairs of points in finite subsets of Rd, III

On the polygonal diameter of the interior, resp. exterior, of a simple closed polygon in the plane

On the number of antipodal or strictly antipodal pairs of points in finite subsets of $R^{d}$ , III