Blocking semiovals of Type (1,M+1,N+1) Batten, Lynn and Dover, Jeremy 2001, Blocking semiovals of Type (1,M+1,N+1), SIAM journal of discrete mathematics, vol. 14, no. 4, pp. 446-457. Attached Files Name Description MIMEType Size Downloads batten-blockingsemiovalsoftype-2001.pdf Published version application/pdf 163.24KB 247 Title Blocking semiovals of Type (1,M+1,N+1) Author(s) Batten, Lynn orcid.org/0000-0003-4525-2423 Dover, Jeremy Journal name SIAM journal of discrete mathematics Volume number 14 Issue number 4 Start page 446 End page 457 Publisher Society for Industrial & Applied Mathematics Place of publication Philadelphia, Pa. Publication date 2001 ISSN 0895-4801 Keyword(s) projective planes blocking sets semiovals Summary We consider the existence of blocking semiovals in finite projective planes which have intersection sizes 1, m+1 or n+1 with the lines of the plane for $1 \leq m < n$. For those prime powers $q \leq 1024$, in almost all cases, we are able to show that, apart from a trivial example, no such blocking semioval exists in a projective plane of order q. We are also able to prove, for general q, that if q2+q+1 is a prime or three times a prime, then only the same trivial example can exist in a projective plane of order q. Language eng Field of Research 010104 Combinatorics and Discrete Mathematics (excl Physical Combinatorics) HERDC Research category C1 Refereed article in a scholarly journal Copyright notice ©Reproduced with the specific permission of the copyright owner. Free to Read? Yes Persistent URL http://hdl.handle.net/10536/DRO/DU:30001415 Document type: Journal Article Collections: Faculty of Science, Engineering and Built Environment School of Information Technology Open Access Collection Related Links Link Description Connect to published version (restricted access) Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au. Versions Version Filter Type Tue, 27 Jan 2009, 14:51:42 EST Wed, 27 May 2009, 15:10:31 EST Wed, 27 May 2009, 15:15:35 EST Wed, 21 Oct 2015, 15:59:47 EST Tue, 06 Sep 2016, 08:38:32 EST Mon, 04 Dec 2017, 13:31:40 EST Fri, 07 Sep 2018, 13:04:51 EST Filtered Full Citation counts:   Cited 4 times in TR Web of Science Cited 4 times in Scopus Search Google Scholar Access Statistics: 784 Abstract Views, 247 File Downloads  -  Detailed Statistics Created: Mon, 07 Jul 2008, 07:56:16 EST

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