Article ID Journal Published Year Pages File Type
4653126 Electronic Notes in Discrete Mathematics 2006 7 Pages PDF
Abstract

We define a two-terminal directed acyclic graph (st-dag) characterized by a special structure of its mincuts and call it a nested graph. It is proved that every nested graph is series-parallel as well. We show that an st-dag of order n has exactly n−1 mincuts if and only if it is nested.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics