Počet záznamov: 1
On the existence of self-complementary and non-self-complementary strongly regular graphs with Paley parameters
SYS 0233829 005 20240514002027.4 014 $a 000387959600011 $2 WOS CC. ESCI 014 $a 2-s2.0-84951763371 $2 SCOPUS 017 70
$a 10.1007/s00022-015-0308-9 $2 DOI 035 $a biblio/669691 $2 CREPC2 100 $a 20160922 2016 m y slo 03 ba 101 0-
$a eng 102 $a CH 200 1-
$a On the existence of self-complementary and non-self-complementary strongly regular graphs with Paley parameters $f Mikhail Klin, Nimrod Kriger, Andrew Woldar 330 $a © 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→ ∞. 463 -1
$1 001 umb_un_cat*0295636 $1 011 $a 0047-2468 $1 011 $a 1420-8997 $1 200 1 $a Journal of Geometry $v Vol. 107, no. 2 (2016), pp. 329-356 $1 210 $a Basel $c Birkhäuser Verlag $d 2016 606 0-
$3 umb_un_auth*0036218 $a matematika $X mathematics 606 0-
$3 umb_un_auth*0039537 $a grafy $X charts $X graphs 615 $n 51 $a Matematika 675 $a 51 700 -1
$a Klin $b Mikhail $3 umb_un_auth*0237851 $p UMBFP10 $4 070 $9 40 $f 1946- $T Katedra matematiky 701 -1
$a Kriger $b Nimrod $3 umb_un_auth*0254402 $4 070 $9 30 701 -1
$a Woldar $b Andrew $3 umb_un_auth*0254403 $4 070 $9 30 801 -0
$a SK $b BB301 $g AACR2 $9 unimarc sk T85 $x existuji fulltexy
Počet záznamov: 1