Mechthild S. A Simple Min-Cut Algorithm

Paper. Journal of the ACM, Vol. 44, No. 4, July 1997, pp. 585–591.
We present an algorithm for finding the minimum cut of an undirected edge-weighted
graph. It is simple in every respect. It has a short and compact description, is easy to implement, and has a surprisingly simple proof of correctness. Its runtime matches that of the fastest algorithm
known. The runtime analysis is straightforward. In contrast to nearly all approaches so far, the
algorithm uses no flow techniques. Roughly speaking, the algorithm consists of about uVu nearly
identical phases each of which is a maximum adjacency search.