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CCCG
2010
15 years 8 months ago
The traveling salesman problem for lines and rays in the plane
In the Euclidean TSP with neighborhoods (TSPN), we are given a collection of n regions (neighborhoods) and we seek a shortest tour that visits each region. In the path variant, we...
Adrian Dumitrescu
FAW
2010
Springer
225views Algorithms» more  FAW 2010»
15 years 7 months ago
Computing Minimum Diameter Color-Spanning Sets
We study the minimum diameter color-spanning set problem which has recently drawn some attention in the database community. We show that the problem can be solved in polynomial tim...
Rudolf Fleischer, Xiaoming Xu
CORR
2010
Springer
133views Education» more  CORR 2010»
15 years 7 months ago
Santa Claus Schedules Jobs on Unrelated Machines
One of the classic results in scheduling theory is the 2-approximation algorithm by Lenstra, Shmoys, and Tardos for the problem of scheduling jobs to minimize makespan on unrelate...
Ola Svensson
CORR
2008
Springer
77views Education» more  CORR 2008»
15 years 7 months ago
Principal Graphs and Manifolds
In many physical statistical, biological and other investigations it is desirable to approximate a system of points by objects of lower dimension and/or complexity. For this purpo...
Alexander N. Gorban, Andrei Yu. Zinovyev
CORR
2008
Springer
147views Education» more  CORR 2008»
15 years 7 months ago
C-K-R Partitions of Sparse Graphs
We present fast algorithms for constructing probabilistic embeddings and approximate distance oracles in sparse graphs. The main ingredient is a fast algorithm for sampling the pr...
Manor Mendel, Chaya Schwob