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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 29 — Oct. 10, 2012
  • pp: 6979–6983

Light-based solution for the dominating set problem

Sama Goliaei, Saeed Jalili, and Javad Salimi  »View Author Affiliations


Applied Optics, Vol. 51, Issue 29, pp. 6979-6983 (2012)
http://dx.doi.org/10.1364/AO.51.006979


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Abstract

In this paper, an optical solution for the dominating set problem is provided. The solution is based on long ribbon-shaped optical filters, on which some operations can be optically applied efficiently. The provided solution requires polynomial time, exponential length of filters, and exponential number of photons to solve the dominating set problem. The provided solution is implemented experimentally using lithographic sheets, on a graph with six vertices, to find all dominating sets with two vertices.

© 2012 Optical Society of America

OCIS Codes
(040.5190) Detectors : Photographic film
(200.0200) Optics in computing : Optics in computing
(200.3050) Optics in computing : Information processing
(200.4560) Optics in computing : Optical data processing
(200.4960) Optics in computing : Parallel processing
(210.4680) Optical data storage : Optical memories

ToC Category:
Optics in Computing

History
Original Manuscript: March 12, 2012
Revised Manuscript: July 26, 2012
Manuscript Accepted: August 20, 2012
Published: October 5, 2012

Citation
Sama Goliaei, Saeed Jalili, and Javad Salimi, "Light-based solution for the dominating set problem," Appl. Opt. 51, 6979-6983 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-29-6979

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