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https://doi.org/10.3336/gm.45.1.01

Graphs and symmetric designs corresponding to difference sets in groups of order 96

Snježana Braić ; University of Split, Faculty of Science and Mathematics, Teslina 12/III, 21000 Split, Croatia
Anka Golemac ; University of Split, Faculty of Science and Mathematics, Teslina 12/III, 21000 Split, Croatia
Joško Mandić ; University of Split, Faculty of Science and Mathematics, Teslina 12/III, 21000 Split, Croatia
Tanja Vučičić ; University of Split, Faculty of Science and Mathematics, Teslina 12/III, 21000 Split, Croatia


Puni tekst: engleski pdf 159 Kb

str. 1-14

preuzimanja: 538

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Sažetak

Using the list of 2607 so far constructed (96,20,4) difference sets as a source, we checked the related symmetric designs upon isomorphism and analyzed their full automorphism groups. New (96,20,4,4) and (96,19,2,4) regular partial difference sets are constructed, together with the corresponding strongly regular graphs.

Ključne riječi

Difference set; partial difference set; Cayley graph; symmetric design

Hrčak ID:

52363

URI

https://hrcak.srce.hr/52363

Datum izdavanja:

17.5.2010.

Posjeta: 1.301 *