Abstract: | Let H be a subset of the set Sn of all permutations C=6cij6 a real n?n matrix Lc(s)=c1s(1)+c2s(2)+???+cns(n) for s ? H. A pair (H, C) is the existencee of reals a1,b1,a2,b2,…an,bn, for which cij=a1+bj if (i,j)?D(H), where D(H)={(i,j):(?h?H)(j=h(i))}.For a pair (H,C) the specifity of it is proved in the case, when H is either a special cyclic class of permutations or a special union of cyclic classes. Specific pairs with minimal sets H are in some sense described. |