The Search for Pseudo Orthogonal Latin Squares of Order Six
نویسندگان
چکیده
We report on the complete computer search for a strongly regular graph with parameters (36,15,6,6) and chromatic number six. The result is that no such graph exists.
منابع مشابه
A graph-theoretic proof of the non-existence of self-orthogonal Latin squares of order 6
The non-existence of a pair of mutually orthogonal Latin squares of order six is a well-known result in the theory of combinatorial designs. It was conjectured by Euler in 1782 and was first proved by Tarry [4] in 1900 by means of an exhaustive enumeration of equivalence classes of Latin squares of order six. Various further proofs have since been given [1, 2, 3, 5], but these proofs generally ...
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ورودعنوان ژورنال:
- Des. Codes Cryptography
دوره 21 شماره
صفحات -
تاریخ انتشار 2000