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On one more application of Latin squares
Abstract. 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,…,pl) intersections equals to n2 when and only when the family consisting of l-2 mutually pseudoorthogonal n x n Latin squares exists.
Printed reference: Bol'shakova N.S. On one more application of Latin squares // Vestnik of MSTU. 2005. V. 8, No 1. P. -.
Electronic reference: Bol'shakova N.S. On one more application of Latin squares // Vestnik of MSTU. 2005. V. 8, No 1. P. -. URL: http://vestnik.mstu.edu.ru/v08_1_n19/articles/08_bolsh.pdf.
