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» The Number of Generalized Balanced Lines
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CCCG
2004
13 years 8 months ago
On the number of line tangents to four triangles in three-dimensional space
We establish upper and lower bounds on the number of connected components of lines tangent to four triangles in R3 . We show that four triangles in R3 may admit at least 88 tangent...
Hervé Brönnimann, Olivier Devillers, S...
COMPGEOM
2004
ACM
14 years 23 days ago
The number of lines tangent to arbitrary convex polyhedra in 3D
We prove that the lines tangent to four possibly intersecting convex polyhedra in   3 with n edges in total form Θ(n2 ) connected components in the worst case. In the generic ca...
Hervé Brönnimann, Olivier Devillers, V...
LICS
1991
IEEE
13 years 11 months ago
On the Deduction Rule and the Number of Proof Lines
d Abstract) Maria Luisa Bonet∗ Samuel R. Buss∗ Department of Mathematics Department of Mathematics U.C. Berkeley U.C. San Diego Berkeley, California 94720 La Jolla, California ...
Maria Luisa Bonet, Samuel R. Buss
WDAG
2007
Springer
86views Algorithms» more  WDAG 2007»
14 years 1 months ago
Optimal On-Line Colorings for Minimizing the Number of ADMs in Optical Networks
We consider the problem of minimizing the number of ADMs in optical networks. All previous theoretical studies of this problem dealt with the off-line case, where all the lightpat...
Mordechai Shalom, Prudence W. H. Wong, Shmuel Zaks
SOFSEM
2010
Springer
14 years 4 months ago
Parallel Randomized Load Balancing: A Lower Bound for a More General Model
We extend the lower bound of Adler et. al [1] and Berenbrink [3] for parallel randomized load balancing algorithms. The setting in these asynchronous and distributed algorithms is...
Guy Even, Moti Medina