Fetching the paper…
Reading the bibliography…
We show an inequality involving the third largest or second smallest dual eigenvalues of $Q$-polynomial association schemes of class at least three.
P. J. Cameron, On groups with several doubly-transitive permutation representations, Math. Z. 128 (1972) 1–14
1972
Earlier work this paper cites.
P. Delsarte, An algebraic approach to the association schemes of coding theory, Philips Res. Rep. Suppl
1973
Earlier work this paper cites.
P. Delsarte, J. M. Goethals, J. J. Seidel, Spherical codes and designs, Geom. Dedicata 6 (1977), 363–388
1977
Earlier work this paper cites.
E. Bannai and T. Ito, Algebraic Combinatorics I: Association Schemes, Benjamin/Cummings, Menlo Park, CA, 1984
1984
Earlier work this paper cites.
C. Godsil and J. Shawe-Taylor, Distance-regularised graphs are distance-regular or distance-biregular, J. of Combin. Theory Ser. B 43 (1987) 14–24
1987
Earlier work this paper cites.
A. E. Brouwer, A. E. Cohen and A. Neumaier, Distance-regular graphs, Springer-Verlag, Berlin, 1989. xviii+495
1989
Earlier work this paper cites.
C. Delorme, Distance biregular bipartite graphs, Europ. J. Comin. 15 (1994) 223–238
1994
Earlier work this paper cites.
W. H. Haemers, Interlacing Eigenvalues and graphs, Linear Algebra Appl. 227–228 (1995) 593–616
1995
Earlier work this paper cites.
H. Suzuki, Imprimitive Q Q -polynomial association schemes, J. Algebraic Combin. 7 (1998) 165–180
1998
Earlier work this paper cites.
H. Suzuki, Association schemes with multiple Q Q -polynomial structures, J. Algebraic Combin. 7 (1998) 181–196
1998
Earlier work this paper cites.
E. van Dam, Three-class association schemes. J. Algebraic Combin. 10 (1999), no. 1, 69–107
1999
Cited alongside, same era.
A. A. Pascasio, Tight graphs and their primitive idempotents, J. Algebraic Combin. 10 (1999) 47–59
1999
Cited alongside, same era.
A. Jurišić, J. Koolen and P. Terwilliger, Tight distance-regular graphs, J. of Algebraic Comb. 12 (2000) 163–197
2000
Cited alongside, same era.
J. T. Go and P. Terwilliger, Tight distance-regular graphs and the subconstituent algebra. European J. Combin. 23 (2002), no. 7, 793–816
2002
Cited alongside, same era.
A. Jurišić and J. Koolen, Krein parameters and antipodal tight graphs with diameter 3 3 and 4 4 , Discrete Math. 244 (2002) 181–202
2002
Cited alongside, same era.
D. R. Cerzo and H. Suzuki, Non-existence of imprimitive Q-polynomial schemes of exceptional type with d = 4 d=4 . European J. Combin. 30 (2009), no. 3, 674–681
2009
Later among the works it cites.
W. J. Martin and H. Tanaka, Commutative association schemes. European J. Combin. 30 (2009), no. 6, 1497–1525
2009
Later among the works it cites.
W. Martin and J. Williford, There are finitely many Q Q -polynomial association schemes with given first multiplicity at least three. European J. Combin. 30 (2009), no. 3, 698–704
2009
Later among the works it cites.
N. LeCompte, W. J. Martin and W. Owens, On the equivalence between real mutually unbiased bases and a certain class of association schemes, European J. Combin. 31 (2010), no 6, 1499–1512
2010
Later among the works it cites.
S. Sho, Coherent configurations and triply regular association schemes obtained from spherical designs. J. Combin. Theory Ser. A 117 (2010), no. 8, 1178–1194
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
A. A. Pascasio, An inequality in character algebras, Discrete Math. 264 (2003) 201–209
2003
Cited alongside, same era.
W. J. Martin, M. Muzychuk and J. Williford, Imprimitive cometric association schemes: constructions and analysis, J. Algebraic Combin. 25 (2007), 399–415
2007
Cited alongside, same era.
K. Abdukhalikov, E. Bannai and S. Suda, Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets. J. Combin. Theory Ser. A 116 (2009), no. 2, 434–448
2009
Cited alongside, same era.
E. Bannai and E. Bannai, A survey on spherical designs and algebraic combinatorics on spheres. European J. Combin. 30 (2009), no. 6, 1392–1425
2009
Cited alongside, same era.
Cited in the paper.
H. Tanaka, Dual-tight cometric association schemes, in preparation
Cited in the paper.
2010
Later among the works it cites.
J. Koolen, J. Park and H. Yu, An inequality involving the second largest and smallest eigenvalues of a distance-regular graph. Linear Algebra Appl. 434 (2011) 2404–2412
2011
Later among the works it cites.
T. Penttila and J. Williford, New families of Q Q -polynomial association schemes, J. Combin. Theory Ser. A 118 (2011), no.2, 502–509
2011
Later among the works it cites.
S. Suda, On spherical designs obtained from Q Q -polynomial association schemes, J. Combin. Des. 19 (2011), no. 3, 167–177
2011
Later among the works it cites.
H. Tanaka and R. Tanaka, Nonexistence of exceptional imprimitive Q Q -polynomial association schemes with six classes, European J. Combin. 32 (2011), no 2, 155–161
2011
Later among the works it cites.