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On the existence of self-complementary and non-self-complementary strongly regular graphs with Paley parameters

  1. NázovOn the existence of self-complementary and non-self-complementary strongly regular graphs with Paley parameters
    Aut.údajeMikhail 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
    KrajinaŠvajčiarsko
    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 kópie36745
    Katal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Báza dátxpca - PUBLIKAČNÁ ČINNOSŤ
    OdkazyPERIODIKÁ-Súborný záznam periodika
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Počet záznamov: 1  

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