We give a new characterization of mengerian clutters, and we use it to find a new infinite family of 2-partitionable clutters, that verifies the conjecture of Conforti and Cornuéjols [1, 2].

On the other hand we are interested in studying the normality of the Rees algebra associated to a clutter and possible relations with the Conforti and Cornuéjols conjecture. In fact this conjecture is equivalent to an algebraic statement about the normality of the Rees algebra [6].