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DM
2008
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13 years 4 months ago
An isoperimetric inequality in the universal cover of the punctured plane
We find the largest for which any simple closed path in the universal cover R2 \ Z2 of R2 \ Z2, equipped with the natural lifted metric from the Euclidean two dimensional plane,...
Noga Alon, Adi Pinchasi, Rom Pinchasi
CCCG
2008
13 years 6 months ago
Maximal Covering by Two Isothetic Unit Squares
Let P be the point set in two dimensional plane. In this paper, we consider the problem of locating two isothetic unit squares such that together they cover maximum number of poin...
Priya Ranjan Sinha Mahapatra, Partha P. Goswami, S...