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DCG
2002
76views more  DCG 2002»
13 years 4 months ago
The Unit Distance Problem for Centrally Symmetric Convex Polygons
Let f(n) be the maximum number of unit distances determined by the vertices of a convex n-gon. Erdos and Moser conjectured that this function is linear. Supporting this conjecture...
Bernardo M. Ábrego, Silvia Fernández...
WADS
2005
Springer
111views Algorithms» more  WADS 2005»
13 years 10 months ago
On Geometric Dilation and Halving Chords
Let G be an embedded planar graph whose edges may be curves. The detour between two points, p and q (on edges or vertices) of G, is the ratio between the shortest path in G between...
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar ...