Geodesic
Partial difference triples
Journal of Algebraic Combinatorics, Tome 2 (1993) no. 4, pp. 397-409.

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Summary: It is known that a strongly regular semi-Cayley graph (with respect to a group $G$) corresponds to a triple of subsets ( $C, D, D | G | \textonesuperior 8$ |G| $\ne 8$ nor 25, all partial difference triples come from a certain family of partial difference triples. Second, we investigate partial difference triples over cyclic group. We find a few nontrivial examples of strongly regular semi-Cayley graphs when $| G|$ is even. This gives a negative answer to a problem raised by de Resmini and Jungnickel. Furthermore, we determine all possible parameters when $G$ is cyclic. Last, as an application of the theory of partial difference triples, we prove some results concerned with strongly regular Cayley graphs.
Keywords: strongly regular graph, semi-Cayley graph, partial difference triple, difference set 
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     author = {Leung, Ka Hin and Ma, Siu Lun},
     title = {Partial difference triples},
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     year = {1993},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_1993__2_4_a1/}
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Leung, Ka Hin; Ma, Siu Lun. Partial difference triples. Journal of Algebraic Combinatorics, Tome 2 (1993) no. 4, pp. 397-409. http://geodesic.mathdoc.fr/item/JAC_1993__2_4_a1/