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Optimizing the Incidences between Points and Arcs on a Circle

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.
Keywords : BILINEAR FORM QAP
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https://hal.inria.fr/inria-00073086
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 11:49:23 AM
Last modification on : Thursday, February 11, 2021 - 2:50:06 PM
Long-term archiving on: : Sunday, April 4, 2010 - 11:33:37 PM

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  • HAL Id : inria-00073086, version 1

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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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