Geodesic
A spectral equivalent condition of the \(P\)-polynomial property for association schemes
Hiroshi Nozaki1 ; Hirotake Kurihara2
1Aichi University of Education
2Kitakyushu National College of Tech- nology
The electronic journal of combinatorics, Tome 21 (2014) no. 3
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We give two equivalent conditions of the $P$-polynomial property of a symmetric association scheme. The first equivalent condition shows that the $P$-polynomial property is determined only by the first and second eigenmatrices of the symmetric association scheme. The second equivalent condition is another expression of the first using predistance polynomials.
DOI : 10.37236/4423
Classification : 05E30, 05C50
Mots-clés : \(P\)-polynomial association scheme, distance-regular graph, graph spectrum, spectral excess theorem, predistance polynomial

Hiroshi Nozaki  1   ; Hirotake Kurihara  2

1 Aichi University of Education
2 Kitakyushu National College of Tech- nology 
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     author = {Hiroshi Nozaki and Hirotake Kurihara},
     title = {A spectral equivalent condition of the {\(P\)-polynomial} property for association schemes},
     journal = {The electronic journal of combinatorics},
     year = {2014},
     volume = {21},
     number = {3},
     doi = {10.37236/4423},
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Hiroshi Nozaki; Hirotake Kurihara. A spectral equivalent condition of the \(P\)-polynomial property for association schemes. The electronic journal of combinatorics, Tome 21 (2014) no. 3. doi: 10.37236/4423

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