Article ID Journal Published Year Pages File Type
421148 Discrete Applied Mathematics 2014 6 Pages PDF
Abstract

This paper shows that B(24)≥35B(24)≥35 and B(25)≥38B(25)≥38. The previous best lower bounds were B(24)≥27B(24)≥27 and B(25)≥29B(25)≥29. The new lower bounds and the known upper bounds show that B(24)=35B(24)=35 or 36 and B(25)=38,39B(25)=38,39 or 40. Also the new bounds prove that B(n)B(n) is monotone at least for all n≤32n≤32.

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Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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