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Reports (Research Report) Year : 1998

Optimizing the Incidences between Points and Arcs on a Circle

Cela Eranda
  • Function : Author
Dominique Fortin
  • Function : Author
Rudiger Rudolf
  • Function : Author

Abstract

Given a set P of 2n+1 points regularly spaced on a circle, a number pi for pairwise distinct points and a number alpha for pairwise distinct and fixed length arcs incident to points in P, the sum of incidences between alpha arcs and pi points, is optimized by contiguously assigning both arcs and points. An extension to negative incidences by considering $\pm 1$ weights on points is provided. Optimizing a special case of a bilinear form (Hardy, Littlewood and Pólya' theorem) as well as Circulant $\times$ anti-Monge QAP directly follow.

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Other [cs.OH]
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Dates and versions

inria-00073086 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073086 , version 1

Cite

Cela Eranda, Dominique Fortin, Rudiger Rudolf. Optimizing the Incidences between Points and Arcs on a Circle. [Research Report] RR-3593, INRIA. 1998. ⟨inria-00073086⟩
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