Generalised Frobenius numbers: geometry of upper bounds
... finding the index of primitivity γ(B) of a nonnegative matrix B = (bi,j ) (i.e. bi,j ≥ 0), 1 ≤
i, j ≤ k of order (ak + ak−1 − 1) via graph theory
F(a1 , . . . , ak ) = γ(B) − 2ak + 1 ,
where γ(B) is the smallest integer such that B γ(B) > 0.
We note that other methods have been derived, but they wil ...