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On the existence of self-complementary and non-self-complementary strongly regular graphs with Paley parameters
Názov On the existence of self-complementary and non-self-complementary strongly regular graphs with Paley parameters Aut.údaje Mikhail Klin, Nimrod Kriger, Andrew Woldar Autor Klin Mikhail 1946- (40%) UMBFP10 - Katedra matematiky
Spoluautori Kriger Nimrod (30%)
Woldar Andrew (30%)
Zdroj.dok. Journal of Geometry. Vol. 107, no. 2 (2016), pp. 329-356. - Basel : Birkhäuser Verlag, 2016 Kľúč.slová matematika - mathematics grafy - charts - graphs Jazyk dok. angličtina Krajina Švajčiarsko Systematika 51 Anotácia © 2015, Springer International Publishing.For p an odd prime, let Ap be the complete classical affine association scheme whose associate classes correspond to parallel classes of lines in the classical affine plane AG(2, p). It is known that Ap is an amorphic association scheme. We investigate rank 3 fusion schemes of Ap whose basis graphs have the same parameters as the Paley graphs P(p2). In contrast to the Paley graphs, the great majority of graphs we detect are non-self-complementary and non-Schurian. In particular, existence of non-self-complementary graphs with Paley parameters is established for p≥ 17 , with an analogous existence result for non-Schurian such graphs when p≥ 11. We demonstrate that the number of self-complementary and non-self-complementary strongly regular graphs with Paley parameters grows rapidly as p→ ∞. Kategória publikačnej činnosti ADM Číslo archívnej kópie 36745 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
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