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APPROX
2005
Springer
106views Algorithms» more  APPROX 2005»
13 years 11 months ago
Approximating the Bandwidth of Caterpillars
A caterpillar is a tree in which all vertices of degree three or more lie on one path, called the backbone. We present a polynomial time algorithm that produces a linear arrangeme...
Uriel Feige, Kunal Talwar
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 ...
ICRA
2008
IEEE
205views Robotics» more  ICRA 2008»
13 years 11 months ago
Minimum time point assignment for coverage by two constrained robots
— This paper focuses on the assignment of discrete points to two robots, in the presence of geometric and kinematic constraints between the robots. The individual points have dif...
Nilanjan Chakraborty, Srinivas Akella, John T. Wen
GD
2005
Springer
13 years 11 months ago
A Mixed-Integer Program for Drawing High-Quality Metro Maps
In this paper we investigate the problem of drawing metro maps which is defined as follows. Given a planar graph G of maximum degree 8 with its embedding and vertex locations (e.g...
Martin Nöllenburg, Alexander Wolff
SODA
2012
ACM
191views Algorithms» more  SODA 2012»
11 years 7 months ago
Submatrix maximum queries in Monge matrices and Monge partial matrices, and their applications
We describe a data structure for submatrix maximum queries in Monge matrices or Monge partial matrices, where a query specifies a contiguous submatrix of the given matrix, and it...
Haim Kaplan, Shay Mozes, Yahav Nussbaum, Micha Sha...