A simple min cut algorithm

M Stoer, F Wagner - European Symposium on Algorithms, 1994 - Springer
We present an algorithm for finding the minimum cut of an edge-weighted graph. It is simple
in every respect. It has a short and compact description, is easy to implement and has a …

A simple min-cut algorithm

M Stoer, F Wagner - Journal of the ACM (JACM), 1997 - dl.acm.org
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 …

A new approach to the minimum cut problem

DR Karger, C Stein - Journal of the ACM (JACM), 1996 - dl.acm.org
This paper present a new approach to finding minimum cuts in undirected graphs. The
fundamental principle is simple: the edges in a graph's minimum cut form an extremely small …

An Õ(n2) algorithm for minimum cuts

DR Karger, C Stein - Proceedings of the twenty-fifth annual ACM …, 1993 - dl.acm.org
A minimum cut is a set of edges of minimum weight whose removal disconnects a given
graph. Minimum cut algorithms historically applied duality with maximum flows and thus had …

Practical minimum cut algorithms

M Henzinger, A Noe, C Schulz, D Strash - Journal of Experimental …, 2018 - dl.acm.org
The minimum cut problem for an undirected edge-weighted graph asks us to divide its set of
nodes into two blocks while minimizing the weight sum of the cut edges. Here, we introduce …

Extracting maximal information about sets of minimum cuts

D Gusfield, D Naor - Algorithmica, 1993 - Springer
There are two well-known, elegant, compact, and efficiently computed representations of
selected minimum edge cuts in a weighted, undirected graph G=(V, E) with n nodes and m …

Deterministic global minimum cut of a simple graph in near-linear time

K Kawarabayashi, M Thorup - Proceedings of the forty-seventh annual …, 2015 - dl.acm.org
We present a deterministic near-linear time algorithm that computes the edge-connectivity
and finds a minimum cut for a simple undirected unweighted graph G with n vertices and m …

Minimum k-way cuts via deterministic greedy tree packing

M Thorup - Proceedings of the fortieth annual ACM symposium on …, 2008 - dl.acm.org
We present a simple and fast deterministic algorithm for the minimum k-way cut problem in a
capacitated graph, that is, finding a set of edges with minimum total capacity whose removal …

A fast algorithm for optimally increasing the edge connectivity

D Naor, D Gusfield, C Martel - SIAM Journal on Computing, 1997 - SIAM
Let G=(V, E) be an undirected, unweighted graph with n nodes, m edges and edge
connectivity λ. Given an input parameter δ, the edge augmentation problem is to find the …

On the complexity of the maximum cut problem

HL Bodlaender, K Jansen - STACS 94: 11th Annual Symposium on …, 1994 - Springer
The complexity of the SIMPLE MAXCUT problem is investigated for several special classes
of graphs. It is shown that this problem is NP-complete when restricted to one of the …