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Vol. 8 (2005 year), No. 1

Bol'shakova N.S.
On one more application of Latin squares

The application of Latin squares for computation of an intersection number of complete l-partite graphs has been shown in the paper. The conditions of existence of families consisting of t pseudoorthogonal Latin squares of the n order have been found. It has been proved, that the number of complete l-partite graph K(p₁,p₂,…,p_l) intersections equals to n² when and only when the family consisting of l-2 mutually pseudoorthogonal n x n Latin squares exists.

(in Russian, стр.4, fig. 2, tables. 0, ref 7, Adobe PDF, Adobe PDF 233 Kb)