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ABSTRACT
We consider the facility location problem with shortest path distances in a weighted graph. W.h.p., we get an approximation factor of 1.62 in O(n + m) time with n and m the number of nodes and edges. Also, as a kind of warm-up, for a metric with a constant-times distance oracle, we get the factor 1.62 deterministically in O(n2 log n) time.Our results build on a recent facility location algorithm of Jain, Mahdian, and Saberi (STOC'02) achieving an approximation factor of 1.61 in O(n3) time.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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