SHILLA GRAPHS WITH \(b=5\) AND \(b=6\)
A \(Q\)-polynomial Shilla graph with \(b = 5\) has intersection arrays \(\{105t,4(21t+1),16(t+1); 1,4 (t+1),84t\}\), \(t\in\{3,4,19\}\). The paper proves that distance-regular graphs with these intersection arrays do not exist. Moreover, feasible intersection arrays of \(Q\)-polynomial Shilla graphs...
Main Authors: | Alexander A. Makhnev, Ivan N. Belousov |
---|---|
Format: | Article |
Language: | English |
Published: |
Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin.
2021-12-01
|
Series: | Ural Mathematical Journal |
Subjects: | |
Online Access: | https://umjuran.ru/index.php/umj/article/view/404 |
Similar Items
-
ON DISTANCE–REGULAR GRAPHS OF DIAMETER 3 WITH EIGENVALUE \(\theta=1\)
by: Alexander A. Makhnev, et al.
Published: (2022-12-01) -
AUTOMORPHISMS OF DISTANCE-REGULAR GRAPH WITH INTERSECTION ARRAY {39; 36; 4; 1; 1; 36}
by: Konstantin S. Efimov, et al.
Published: (2018-12-01) -
On Automorphisms of a Distance-Regular Graph with Intersection Array {125,96,1;1,48,125}
by: V.V. Bitkina, et al.
Published: (2017-03-01) -
On middle cube graphs
by: C. Dalfo, et al.
Published: (2015-10-01) -
New developments in the treatment of early-onset spinal deformity: role of the Shilla growth guidance system
by: Morell SM, et al.
Published: (2016-07-01)