  We give a combinatorial characterization of Fulton's operational Chow cohomology groups of a complete 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. 
Generalized Minkowski weights and Chow rings of T-varieties