The p-center problem involves finding the best locations for p facilities such that the furthest among n points is as close as possible to one of the facilities. Rectangular (sometimes called rectilinear, Manhattan, or 1,) distances are considered. An O ( n ) algorithm for the 1-center problem, an O
On a generalization of the p-Center Problem
β Scribed by S.O. Krumke
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 422 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0020-0190
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## Abstract Let __n__β>β1 be an integer and let __a__~2~,__a__~3~,β¦,__a__~__n__~ be nonnegative integers such that $\sum\_{i=2}^{n} a\_i=2^{n-1} - 1$. Then $K\_{2^n}$ can be factored into $a\_2 C\_{2^2}$βfactors, $a\_3 C\_{2^3}$βfactors,β¦,$a\_n C\_{2^n}$βfactors, plus a 1βfactor. Β© 2002 Wiley Perio
This article uses a vertex-closing approach to investigate the p-center problem. The optimal set of vertices to close are found in imbedded subgraphs of the original graph. Properties of these subgraphs are presented and then used to characterize the optimal solution, to establish a priori upper and