On the Van Vleck theorem for limit-periodic continued fractions of general form |
| |
Authors: | Email author" target="_blank">V?I?BuslaevEmail author |
| |
Institution: | 1.Kabardino-Balkarian State University,Nalchik, Kabardino-Balkar Republic,Russia;2.Krasovskii Institute of Mathematics and Mechanics,Ural Branch of the Russian Academy of Sciences,Yekaterinburg,Russia;3.Ural Federal University,Yekaterinburg,Russia |
| |
Abstract: | J. Koolen posed the problem of studying distance-regular graphs in which neighborhoods of vertices are strongly regular graphs with nonprincipal eigenvalue at most t for a given positive integer t. This problem was solved earlier for t = 3. In the case t = 4, the problem was reduced to studying graphs in which neighborhoods of vertices have parameters (352,26,0,2), (352,36,0,4), (243,22,1,2), (729,112,1,20), (204,28,2,4), (232,33,2,5), (676,108,2,20), (85,14,3,2), or (325,54,3,10). In the present paper, we prove that a distance-regular graph in which neighborhoods of vertices are strongly regular with parameters (85, 14, 3, 2) or (325, 54, 3, 10) has intersection array {85, 70, 1; 1, 14, 85} or {325, 270, 1; 1, 54, 325}. In addition, we find possible automorphisms of a graph with intersection array {85, 70, 1; 1, 14, 85}. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|