  We give a combinatorial characterization of Fulton's operational Chow
cohomology groups of a complete , $\Q$-factorial, rational T-variety of
complexity one in terms of so called generalized Minkowsky weights in the
contraction-free case. We also describe the intersection product with Cartier
invariant divisors in terms of the combinatorial data. In particular this
provides a new way of computing top intersection numbers of invariant Cartier
divisors combinatorially.
