Commutative Schur rings over symmetric groups
Brigham Young University, Provo, Ut, USA
Minisymposium: ASSOCIATION SCHEMES
Content: 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.