Geodesic
Commutative Schur rings over symmetric groups.
Journal of Algebraic Combinatorics, Tome 42 (2015) no. 4, pp. 971-997.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We study commutative Schur rings over the symmetric group $S_n$ that contain the sum of the transpositions in $S_n$, by determining the possibilities for the partition of the class of transpositions that such a Schur ring gives. We note a connection with Gallai colorings of complete graphs.
Classification : 20C05, 05E30, 05C25, 20B30
Keywords: Schur rings, symmetric groups, Gallai colorings, complete graphs 
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     author = {Humphries, Stephen P.},
     title = {Commutative {Schur} rings over symmetric groups.},
     journal = {Journal of Algebraic Combinatorics},
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Humphries, Stephen P. Commutative Schur rings over symmetric groups.. Journal of Algebraic Combinatorics, Tome 42 (2015) no. 4, pp. 971-997. http://geodesic.mathdoc.fr/item/JAC_2015__42_4_a7/