“School of Mathematics”
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| Paper IPM / M / 37 |
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| Abstract: | |
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In this paper, we introduce the notions of Latin and semi-Latin
factorizations of graphs and their support sizes. We essentially
determine the set support sizes of Latin and semi-Latin
factorizations of complete graphs. Utilizing these results we
determine the set QSS(8m, λ) of support sizes of quadruple
systems of order 8m and index λ for m ≥ 6 with at
most 5 possible omissions for each m ≡ 0 (mod 3).
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