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MFCS
2004
Springer
13 years 10 months ago
Online Algorithms for Disk Graphs
We study the on-line versions of two fundamental graph problems, maximum independent set and minimum coloring, for the case of disk graphs which are graphs resulting from intersect...
Ioannis Caragiannis, Aleksei V. Fishkin, Christos ...
CORR
2010
Springer
112views Education» more  CORR 2010»
13 years 5 months ago
Approximation Algorithms for Dominating Set in Disk Graphs
We consider the problem of finding a lowest cost dominating set in a given disk graph containing n disks. The problem has been extensively studied on subclasses of disk graphs, ye...
Matt Gibson, Imran A. Pirwani
IPL
2007
81views more  IPL 2007»
13 years 4 months ago
Linear-time algorithms for problems on planar graphs with fixed disk dimension
The disk dimension of a planar graph G is the least number k for which G embeds in the plane minus k open disks, with every vertex on the boundary of some disk. Useful properties ...
Faisal N. Abu-Khzam, Michael A. Langston
FTTCS
2006
132views more  FTTCS 2006»
13 years 4 months ago
Algorithms and Data Structures for External Memory
Data sets in large applications are often too massive to fit completely inside the computer's internal memory. The resulting input/output communication (or I/O) between fast ...
Jeffrey Scott Vitter
WG
2004
Springer
13 years 10 months ago
A Robust PTAS for Maximum Weight Independent Sets in Unit Disk Graphs
A unit disk graph is the intersection graph of unit disks in the euclidean plane. We present a polynomial-time approximation scheme for the maximum weight independent set problem i...
Tim Nieberg, Johann Hurink, Walter Kern