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 with \(b = 6\) are found.
1999 ◽
Vol 197-198
(1-3)
◽
pp. 205-216
◽
1999 ◽
Vol 76
(2)
◽
pp. 291-296
◽
1979 ◽
Vol 27
(3)
◽
pp. 274-293
◽
2009 ◽
Vol 30
(3)
◽
pp. 401-413
◽
Keyword(s):
2021 ◽
Vol 313
(S1)
◽
pp. S14-S20