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 …

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 …

The complexity of multiway cuts

E Dahlhaus, DS Johnson, CH Papadimitriou… - Proceedings of the …, 1992 - dl.acm.org
In the Multiway Cut problem we are given an edge-weighted graph and a subset of the
vertices called terminals, and asked for a minimum weight set of edges that separates each …

Minimum cuts in near-linear time

DR Karger - Journal of the ACM (JACM), 2000 - dl.acm.org
We significantly improve known time bounds for solving the minimum cut problem on
undirected graphs. We use a" semiduality" between minimum cuts and maximum spanning …

[PDF][PDF] An improved approximation algorithm for multiway cut

G Călinescu, H Karloff, Y Rabani - … annual ACM symposium on Theory of …, 1998 - dl.acm.org
Given an undirected graph wit. h edge co&s and a subset of k nodes called terminals, a
multiway cut is a subset of edges whose removal disconnects each terminal from the rest …

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 …

Multiway cuts in directed and node weighted graphs

N Garg, VV Vazirani, M Yannakakis - International Colloquium on …, 1994 - Springer
Given an undirected graph G=(V, E) with weights on the edges and a set of k terminals, Sl,
s2 9 9 sk, a mulliway cut is a set of edges whose removal disconnects every pair of …

Computing all small cuts in an undirected network

H Nagamochi, K Nishimura, T Ibaraki - SIAM Journal on Discrete Mathematics, 1997 - SIAM
Let λ(\calN) denote the weight of a minimum cut in an edge-weighted undirected network
\calN, and n and m denote the numbers of vertices and edges, respectively. It is known that …

On the complexity of the maximum cut problem

HL Bodlaender, K Jansen - Nordic Journal of Computing, 2000 - dl.acm.org
The complexity of the SIMPLE MAX CUT problem is investigated for several special classes
of graphs. It is shown that this problem is NP-complete when restricted to one of the …