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2-semiarcs in PG(2, q), q <= 13

(2014) ARS COMBINATORIA. 117. p.435-462
Author
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

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Chicago
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.
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.
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.
MLA
Bartoli, Daniele, Giorgio Faina, Gyoergy Kiss, et al. “2-semiarcs in PG(2, Q), q <= 13.” ARS COMBINATORIA 117 (2014): 435–462. Print.
@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 {\textlangle}= 7, the spectrum of their sizes is determined for q {\textlangle}= 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 {\textlangle}= 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},
  language     = {eng},
  pages        = {435--462},
  title        = {2-semiarcs in PG(2, q), q {\textlangle}= 13},
  volume       = {117},
  year         = {2014},
}

Web of Science
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