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We consider quasigroups $Q({\Gamma})$ obtained as certain double covers of the symmetric group $S_3$ of degree 3, for directed graphs ${\Gamma}$ on the vertex set $S_3$. We completely characterize the strong compatibility of elements of $Q({\Gamma})$ for any quasigroup nonuniform homogeneous space of degree 4. For such homogeneous spaces, we classify all the strong and weak compatibility graphs of $Q({\Gamma})$.
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참고문헌 (10)
참고문헌 신청
P.J. Cameron / 2003 / Intersecting families of permutations / Eur. J. Comb 24:881~890
K. Heinrich / 1981 / The maximum number of intercalates in a latin square, Combinatorial Mathematics VIII / Springer :221~233
B. Im / 2011 / Sharply transitive sets in quasigroup actions / J. Algebr. Comb 33:81~93
임복희 / 2013 / Compatibility in certain quasigroup homogeneous space / 대한수학회보 50(2):667~674
H.-Y. Lee / 2017 / Stochastic tensors and approximate symme-try / Discrete Math 34D:1335~1350
K. Heinrich / 1981 / The maximum number of intercalates in a latin square, Combinatorial Mathematics VIII / Springer :221~233
B. Im / 2011 / Sharply transitive sets in quasigroup actions / J. Algebr. Comb 33:81~93
임복희 / 2013 / Compatibility in certain quasigroup homogeneous space / 대한수학회보 50(2):667~674
H.-Y. Lee / 2017 / Stochastic tensors and approximate symme-try / Discrete Math 34D:1335~1350
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