HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information

# Optimizing the Incidences between Points and Arcs on a Circle

1 PRAXITELE
INRIA Rocquencourt
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 :
Document type :
Reports
Domain :

https://hal.inria.fr/inria-00073086
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Wednesday, May 24, 2006 - 11:49:23 AM
Last modification on : Friday, February 4, 2022 - 3:16:15 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:33:37 PM

### Identifiers

• HAL Id : inria-00073086, version 1

### Citation

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

Record views