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We give an equivalent condition of the $P$-polynomial property of symmetric association schemes.
An algebraic approach to the association schemes of coding theory
P. Delsarte · 1973
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Algebraic combinatorics. I
E. Bannai and T. Ito · 1984
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Eigenspaces of graphs
D. Cvetković, P. Rowlinson and S. Simić · 1997
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From local adjacency polynomials to locally pseudo-distance-regular graphs
M.A. Fiol and E. Garriga · 1997
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The spectral excess theorem for distance-regular graphs: a global (over)view
E.R. van Dam · 2008
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Characterizing ( ℓ , m ) (\ell,m) -walk-regular graphs
C. Dalfó, M.A. Fiol and E. Garriga · 2010
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A simple proof of the spectral excess theorem for distance-regular graphs
M.A. Fiol, S. Gago and E. Garriga · 2010
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On almost distance-regular graphs
C. Dalfó, E.R. van Dam, M.A. Fiol, E. Garriga and B.L. Gorissen · 2011
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k k -walk-regular digraphs
W. Liu and J. Lin · 2011
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Tridiagonal matrices with nonnegative entries
K. Nomura and P. Terwilliger · 2011
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Dual concepts of almost distance-regularity and the spectral excess theorem
C. Dalfó, E.R. van Dam, M.A. Fiol and E. Garriga · 2012
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A short proof of the odd-girth theorem
E.R. van Dam and M.A. Fiol · 2012
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A characterization of Q Q -polynomial association schemes
H. Kurihara and H. Nozaki · 2012
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