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DC Field | Value | Language |
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dc.contributor.author | Christina Jacobs | - |
dc.contributor.author | Todd Thomas | - |
dc.date.accessioned | 2024-02-27T06:20:32Z | - |
dc.date.available | 2024-02-27T06:20:32Z | - |
dc.date.issued | 2004 | - |
dc.identifier.uri | http://gnanaganga.inflibnet.ac.in:8080/jspui/handle/123456789/7613 | - |
dc.description.abstract | Let I1 = ( P, L) be a projective plane of order n . A blocking set in IT is a set B o f points such that fo r every line 1 of fl there is at least one point of 1 in B , but 1 is not entirely contained in B . Blocking sets have been extensively studied, see for example, Berardi and Eugeni [2]. A semioval in II is a set S of points such that for every point P E S t here is a unique tangent to S containing P . Here, as usual, a tangent to S is a line of IT meeting S in exactly one point. The concept of semioval is a generalization of the concept of oval. An oval in IT is a set of n + 1 points such that no three are collinear. Since two points in IT lie on a unique line, and since there are n + 1 lines through a point of fl, it is clear t hat an oval is a semioval. Ovals have also been extensively studied, but semiovals have so far received little attention . (See Hughes and Piper [5], Chapter XII.) One type of semioval that has recently received some attention is the blocking semioval. A blocking semioval in TI is a blocking set that is also a semioval. That is, a blocking semioval is a set S of points in II satisfying: (1) e very line 1 of IT contains a point of Sand a point not in S ; (2) fo r every point P of S there is a unique tangent to S containing P . One interesting aspect o f a blocking semioval is that it is both a minimal blocking set and a maximal semioval [4]. | - |
dc.publisher | Bulletin of the Institute of Combinatorics and Its Applications | - |
dc.title | A New Blocking Semioval | - |
dc.vol | Vol 42 | - |
Appears in Collections: | Articles to be qced |
Files in This Item:
File | Size | Format | |
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A New Blocking Semioval.pdf Restricted Access | 1.43 MB | Adobe PDF | View/Open Request a copy |
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