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• W2045771243 abstract "Let B3(K)={v:∃S(3,K,v)}. For K={4} or {4,6}, B3(K) has been determined by Hanani. In this paper, we investigate the case of K={4,5}. It is easy to see that if v∈B3({4,5}), then v≡1,2,4,5,8,10(mod12). It is known that B3({4})={v>0:v≡2,4(mod6)}⊂B3({4,5}) by Hanani and that {v>0:v≡5(mod12)}⊂B3({4,5}) by a previous paper of the author. We shall focus on the case of v≡1(mod12). It is proved that B3({4,5})={v>0:v≡1,2,4,5,8,10(mod12) and v≠13}." @default.
• W2045771243 created "2016-06-24" @default.
• W2045771243 creator A5027406081 @default.
• W2045771243 date "2004-10-01" @default.
• W2045771243 modified "2023-09-27" @default.
• W2045771243 title "On the 3BD-closed set <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si42.gif overflow=scroll><mml:msub><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo stretchy=false>(</mml:mo><mml:mo stretchy=false>{</mml:mo><mml:mn>4</mml:mn><mml:mo>,</mml:mo><mml:mn>5</mml:mn><mml:mo stretchy=false>}</mml:mo><mml:mo stretchy=false>)</mml:mo></mml:math>" @default.
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• W2045771243 doi "https://doi.org/10.1016/j.disc.2004.06.009" @default.
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