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- W1973048425 abstract "A Mendelsohn triple system (MTS) corresponds to an idempotent semisymmetric Latin square (quasigroup) of the same order. A holey MTS is called frame self-orthogonal, briefly FSOMTS, if its associated holey semisymmetric Latin square is frame self-orthogonal. In this paper, we use FSOMTS(hn) to denote an FSOMTS with n spanning holes of size h. The existence of FSOMTS(hn) for h⩽3 has been known with a few exceptions. We extend the existing results and determine the necessary and sufficient conditions for the existence of FSOMTS(hn) for any h and n with some possible exceptions." @default.
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- W1973048425 date "2008-11-01" @default.
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- W1973048425 title "Frame self-orthogonal Mendelsohn triple systems of type <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si12.gif overflow=scroll><mml:msup><mml:mrow><mml:mi>h</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>" @default.
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- W1973048425 doi "https://doi.org/10.1016/j.disc.2007.09.002" @default.
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