Graph connectivity | Graph algorithms

Karger's algorithm

In computer science and graph theory, Karger's algorithm is a randomized algorithm to compute a minimum cut of a connected graph. It was invented by David Karger and first published in 1993. The idea of the algorithm is based on the concept of contraction of an edge in an undirected graph . Informally speaking, the contraction of an edge merges the nodes and into one, reducing the total number of nodes of the graph by one. All other edges connecting either or are "reattached" to the merged node, effectively producing a multigraph. Karger's basic algorithm iteratively contracts randomly chosen edges until only two nodes remain; those nodes represent a cut in the original graph. By iterating this basic algorithm a sufficient number of times, a minimum cut can be found with high probability. (Wikipedia).

Karger's algorithm
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Related pages

Multigraph | Edge contraction | Graph theory | Adjacency matrix | Graph (discrete mathematics) | Minimum cut | Push–relabel maximum flow algorithm | Randomized algorithm | Cycle graph | Adjacency list | Stoer–Wagner algorithm | Minimum spanning tree | Cut (graph theory) | Degree (graph theory) | Dense graph | Max-flow min-cut theorem | With high probability