Fetching the paper…
Reading the bibliography…
We introduce and discuss an Erd\H{o}s-Ko-Rado basis for the underlying vector space of a Leonard system $\Phi = (A; A^*; \{E_i\}_{i=0}^d ; \{E_i^* \}_{i=0}^d)$ that satisfies a mild condition on the eigenvalues of $A$ and $A^*$.
P. Erdős, C. Ko, and R. Rado, Intersection theorems for systems of finite sets , Quart. J. Math. Oxford Ser. (2) 12
1961
Earlier work this paper cites.
P. Delsarte, An algebraic approach to the association schemes of coding theory , Philips Res. Rep. Suppl. No. 10
1973
Earlier work this paper cites.
F.J. MacWilliams and N.J.A. Sloane, The theory of error-correcting codes , North-Holland, Amsterdam, 1977
1977
Earlier work this paper cites.
R. Askey and J. Wilson, A set of orthogonal polynomials that generalize the Racah coefficients or 6 − j 6-j symbols , SIAM J. Math. Anal. 10
1979
Earlier work this paper cites.
L. Lovász, On the Shannon capacity of a graph , IEEE Trans. Inform. Theory 25
1979
Earlier work this paper cites.
A. Schrijver, A comparison of the Delsarte and Lovász bounds , IEEE Trans. Inform. Theory 25
1979
Earlier work this paper cites.
D.A. Leonard, Orthogonal polynomials, duality and association schemes , SIAM J. Math. Anal. 13
1982
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.
R.M. Wilson, The exact bound in the Erdős–Ko–Rado theorem , Combinatorica 4
1984
Earlier work this paper cites.
P. Frankl and R.M. Wilson, The Erdős–Ko–Rado theorem for vector spaces , J. Combin. Theory Ser. A 43
1986
Earlier work this paper cites.
A.E. Brouwer, A.M. Cohen, and A. Neumaier, Distance-regular graphs , Springer-Verlag, Berlin, 1989
1989
Cited alongside, same era.
P. Terwilliger, The subconstituent algebra of an association scheme I , J. Algebraic Combin. 1
1992
Cited alongside, same era.
P. Terwilliger, The subconstituent algebra of an association scheme III , J. Algebraic Combin. 2
1993
Cited alongside, same era.
P. Delsarte and V.I. Levenshtein, Association schemes and coding theory , IEEE Trans. Inform. Theory 44
1998
Cited alongside, same era.
R. Koekoek and R.F. Swarttouw, The Askey scheme of hypergeometric orthogonal polynomials and its q q -analog , report 98-17, Delft University of Technology, The Netherlands, 1998. Available at http://aw.twi.tudelft.nl/
1998
Cited alongside, same era.
P. Terwilliger, Leonard pairs and the q q -Racah polynomials , Linear Algebra Appl. 387
2004
Later among the works it cites.
P. Terwilliger, Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array , Des. Codes Cryptogr. 34
2005
Later among the works it cites.
H. Tanaka, Classification of subsets with minimal width and dual width in Grassmann, bilinear forms and dual polar graphs , J. Combin. Theory Ser. A 113
2006
Later among the works it cites.
P. Terwilliger, An algebraic approach to the Askey scheme of orthogonal polynomials , in: F. Marcellán and W. Van Assche (Eds.), Orthogonal polynomials and special functions: Computation and applications, Lecture Notes in Mathematics, vol. 1883, Springer-Verlag, Berlin, 2006, pp. 255–330; arXiv: math/0408390
2006
Later among the works it cites.
W.J. Martin and H. Tanaka, Commutative association schemes , European J. Combin. 30
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2000
Cited alongside, same era.
T. Ito, K. Tanabe, and P. Terwilliger, Some algebra related to P P - and Q Q -polynomial association schemes , in: A. Barg and S. Litsyn (Eds.), Codes and association schemes, American Mathematical Society, Providence, RI, 2001, pp. 167–192; arXiv: math/0406556
2001
Cited alongside, same era.
P. Terwilliger, Two linear transformations each tridiagonal with respect to an eigenbasis of the other , Linear Algebra Appl. 330
2001
Cited alongside, same era.
P. Terwilliger, Leonard pairs from 24 24 points of view , Rocky Mountain J. Math. 32
2002
Cited alongside, same era.
P. Terwilliger, Introduction to Leonard pairs , J. Comput. Appl. Math. 153
2003
Cited alongside, same era.
2009
Later among the works it cites.
H. Tanaka, A bilinear form relating two Leonard systems , Linear Algebra Appl. 431
2009
Later among the works it cites.
T. Ito and P. Terwilliger, The augmented tridiagonal algebra , Kyushu J. Math. 64
2010
Later among the works it cites.
2010
Later among the works it cites.