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On the 3BD-closed set B3({4,5,6})

✍ Scribed by L. Ji

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 122 KB
Volume: 12
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.10067

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✦ Synopsis

Let B 3 ðKÞ ¼ fv v v v : 9 9 an Sð3; K; v v v vÞg. For K ¼ f4g or f4; 6g, B 3 ðKÞ has been determined by Hanani, and for K ¼ f4; 5g by a previous paper of the author. In this paper, we investigate the case of

; 5; 6gÞ by Hanani and that B 3 ðf4; 5gÞ ¼ fv v v v > 0 : v v v v 1; 2; 4; 5; 8; 10 ðmod 12Þ and v v v v 6 ¼ 13g & B 3 ðf4; 5; 6gÞ. We shall focus on the case of v v v v 9 ðmod 12Þ. It is proved that B 3 ðf4; 5; 6gÞ ¼ fv v v v > 0 : v v v v 0; 1; 2 ðmod 4Þ and v v v v 6 ¼ 9; 13g.

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