Abstract
We elaborate on the existence and construction of the so-called combinatorial configurations. The main result is that for fixed degrees the existence of such configurations is given by a numerical semigroup. The proof is constructive giving a method to obtain combinatorial configurations with parameters large enough.
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Communicated by Jorge Almeida.
This work was partly supported by the Spanish Government through projects TIN2009-11689 “RIPUP'' and CONSOLIDER INGENIO 2010 CSD2007-00004 “ARES'', and by the Government of Catalonia under grant 2009 SGR 1135.
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Bras-Amorós, M., Stokes, K. The semigroup of combinatorial configurations. Semigroup Forum 84, 91–96 (2012). https://doi.org/10.1007/s00233-011-9343-5
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DOI: https://doi.org/10.1007/s00233-011-9343-5