We compare three lower bounds for the minimum cardinality of a multiwa
y cut in a graph separating a given set S of terminals. The main resul
t is a relatively short algorithmic proof for a simplified version of
a min-max theorem of the first and the third authors asserting that th
e best of the three lower bounds is actually attainable if every circu
it of the graph contains a terminal node. (C) 1998 Elsevier Science B.
V. All rights reserved.