Abstract. For a nite multigraphG, the reliability function of G is the probability RG(q) that if each edge of G is deleted independently with probability q then the remaining edges...
This paper describes methods for counting the number of non-negative integer solutions of the system Ax = b when A is a non-negative totally unimodular matrix and b an integral ve...
We examine the specialization to simple matroids of certain problems in extremal matroid theory that are concerned with bounded cocircuit size. Assume that each cocircuit of a simp...
The class of weakly algebrizable logics is defined as the class of logics having monotonic and injective Leibniz operator. We show that "monotonicity" cannot be discarde...