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A207507
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Diameters of quadratic unitary Cayley graphs on the integers modulo n.
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0
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1, 1, 2, 2, 3, 1, 4, 2, 5, 1, 6, 2, 3, 3, 4, 2, 3, 1, 5, 3, 3, 1, 12, 2, 3, 2, 4, 2, 5, 1, 4, 3, 3, 3, 6, 2, 3, 2, 5, 2, 4, 1, 4, 3, 3, 1, 12, 2, 5, 2, 3, 2, 3, 3, 4, 3, 3, 1, 6, 2, 3, 3, 4, 3, 4, 1, 3, 3, 5, 1, 12
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OFFSET
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2,3
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COMMENTS
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Equivalently: the maximum number of terms required to express a nonzero residue modulo n, as a sum/difference of multiplicative units which are also quadratic residues.
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LINKS
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N. de Beaudrap, On restricted unitary Cayley graphs and symplectic transformations modulo n, Electronic J. Combinatorics v17 (R69), 2010. See also arXiv:1002.0713.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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