Advances in Geometry
Managing Editor: Grundhöfer, Theo / Strambach, Karl
Editorial Board Member: Bannai, Eiichi / Coskun, Izzet / Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Joswig, Michael / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Leistner, Thomas / Löwen, Rainer / Ono, Kaoru / Pasini, Antonio / Penttila, Tim / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard
IMPACT FACTOR increased in 2015: 0.578
SCImago Journal Rank (SJR) 2014: 0.602
Source Normalized Impact per Paper (SNIP) 2014: 0.716
Impact per Publication (IPP) 2014: 0.430
Mathematical Citation Quotient (MCQ) 2014: 0.44
Blocking semiovals containing conics
1Dover Networks LLC, 445 Poplar Leaf Dr., Edgewater, MD 21037, USA
2Department of Mathematics, University of Mary Washington, 1301 College Avenue, Trinkle Hall, Fredericksburg, VA 22401-5300, USA
3Department of Mathematics, Regent University, 1000 Regent University Dr., Virginia Beach, VA 23464, USA
Citation Information: . Volume 13, Issue 1, Pages 29–40, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: 10.1515/advgeom-2012-0025, January 2013
- Published Online:
A blocking semioval is a set of points in a projective plane that is both a blocking set (i.e., every line meets the set, but the set contains no line) and a semioval (i.e., there is a unique tangent line at each point). Sz˝onyi investigated an infinite family of blocking semiovals that are formed from the union of conics contained in a particular type of algebraic pencil. In this paper, the authors look at the general problem of blocking semiovals containing conics, proving a lower bound on the size of such sets and providing several new constructions of blocking semiovals containing conics. In addition, the authors investigate the natural generalization of Sz˝onyi’s construction to other conic pencils.
Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.