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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …