- Author
- Daniele Bartoli (UGent) , Giorgio Faina, Gyoergy Kiss, Stefano Marcugini and Fernanda Pambianco
- Organization
- Abstract
- A 2-semiarc is a pointset S-2 with the property that the number of tangent lines to S-2 at each of its points is two. Using some theoretical results and computer aided search, the complete classification of 2-semiarcs in PG(2, q) is given for q <= 7, the spectrum of their sizes is determined for q <= 9, and some results about the existence are proven for q = 11 and q = 13. For several sizes of 2-semiarcs in PG(2, q), q <= 7, classification results have been obtained by theoretical proofs.
- Keywords
- BLOCKING SEMIOVALS, SIZES, PROJECTIVE-PLANES, SMALL COMPLETE ARCS, SPACES, CAPS, 4), CONFIGURATIONS, MINIMUM ORDER, PG(4
Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-5819286
- MLA
- Bartoli, Daniele, et al. “2-Semiarcs in PG(2, q), q <= 13.” ARS COMBINATORIA, vol. 117, 2014, pp. 435–62.
- APA
- Bartoli, D., Faina, G., Kiss, G., Marcugini, S., & Pambianco, F. (2014). 2-semiarcs in PG(2, q), q <= 13. ARS COMBINATORIA, 117, 435–462.
- Chicago author-date
- Bartoli, Daniele, Giorgio Faina, Gyoergy Kiss, Stefano Marcugini, and Fernanda Pambianco. 2014. “2-Semiarcs in PG(2, q), q <= 13.” ARS COMBINATORIA 117: 435–62.
- Chicago author-date (all authors)
- Bartoli, Daniele, Giorgio Faina, Gyoergy Kiss, Stefano Marcugini, and Fernanda Pambianco. 2014. “2-Semiarcs in PG(2, q), q <= 13.” ARS COMBINATORIA 117: 435–462.
- Vancouver
- 1.Bartoli D, Faina G, Kiss G, Marcugini S, Pambianco F. 2-semiarcs in PG(2, q), q <= 13. ARS COMBINATORIA. 2014;117:435–62.
- IEEE
- [1]D. Bartoli, G. Faina, G. Kiss, S. Marcugini, and F. Pambianco, “2-semiarcs in PG(2, q), q <= 13,” ARS COMBINATORIA, vol. 117, pp. 435–462, 2014.
@article{5819286,
abstract = {{A 2-semiarc is a pointset S-2 with the property that the number of tangent lines to S-2 at each of its points is two. Using some theoretical results and computer aided search, the complete classification of 2-semiarcs in PG(2, q) is given for q <= 7, the spectrum of their sizes is determined for q <= 9, and some results about the existence are proven for q = 11 and q = 13. For several sizes of 2-semiarcs in PG(2, q), q <= 7, classification results have been obtained by theoretical proofs.}},
author = {{Bartoli, Daniele and Faina, Giorgio and Kiss, Gyoergy and Marcugini, Stefano and Pambianco, Fernanda}},
issn = {{0381-7032}},
journal = {{ARS COMBINATORIA}},
keywords = {{BLOCKING SEMIOVALS,SIZES,PROJECTIVE-PLANES,SMALL COMPLETE ARCS,SPACES,CAPS,4),CONFIGURATIONS,MINIMUM ORDER,PG(4}},
language = {{eng}},
pages = {{435--462}},
title = {{2-semiarcs in PG(2, q), q <= 13}},
volume = {{117}},
year = {{2014}},
}