Glasnik matematički, Vol. 45 No. 1, 2010.
Original scientific paper
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
Abstract
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.
Keywords
Difference set; partial difference set; Cayley graph; symmetric design
Hrčak ID:
52363
URI
Publication date:
17.5.2010.
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