2003
DOI: 10.1016/s0012-365x(02)00555-1
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Non-existence of directed strongly regular graphs

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Cited by 27 publications
(39 citation statements)
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“…In particular, Jørgensen [8] independently proved Theorem 4.2 and the characterizations of Section 5. We discovered the overlap between our work and his at the Com 2 Mac Conference on Association Schemes, Codes and Designs in Pohang, Korea in July, 2000.…”
Section: Introductionmentioning
confidence: 99%
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“…In particular, Jørgensen [8] independently proved Theorem 4.2 and the characterizations of Section 5. We discovered the overlap between our work and his at the Com 2 Mac Conference on Association Schemes, Codes and Designs in Pohang, Korea in July, 2000.…”
Section: Introductionmentioning
confidence: 99%
“…We develop a theory of representations in R m for directed strongly regular graphs, which gives a new proof of a nonexistence condition of Jørgensen [8]. We also describe some new constructions.…”
Section: Introductionmentioning
confidence: 99%
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“…Numerous papers have been published on the subject of DSRGs (see, for example, [5,6,8,[11][12][13][14]16,24]). In 1997 Klin, Munemasa, Muzychuk and Zieschang [15] proved that a DSRG cannot be a Cayley digraph of an abelian group, whereas in 1999, Hobart and Shaw [11] gave constructions of DSRGs which are Cayley digraphs of nonabelian groups.…”
mentioning
confidence: 99%