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In mathematics, the minimum k-cut is a combinatorial optimization problem that requires finding a set of edges whose removal would partition the graph to at least k connected components. These edges are referred to as k-cut. The goal is to find the minimum-weight k-cut.
Kevin McKenzie (born July 25, 1971), professionally known as K-Cut, is a Canadian record producer and DJ, most notably as a member of East Coast hip hop group Main Source.
29 de nov. de 2021 · The size-constrained min-k-cut problem for unit sizes (i.e., all size lower-bounds \(s_1, \ldots , s_k\) are equal to one) is known as the hypergraph k-cut problem. The hypergraph k-cut problem was shown to admit a polynomial-time algorithm only recently via a non-uniform random contraction algorithm. 1.1 Our contributions
16 de mar. de 2019 · We consider the maximum k -cut problem that involves partitioning the vertex set of a graph into k subsets such that the sum of the weights of the edges joining vertices in different subsets is maximized. The associated semidefinite programming (SDP) relaxation is known to provide strong bounds, but it has a high computational cost.
The current best algorithms. k are an O(n(2−o(1))k) randomized algorithm due to Karger and Stein, and an O(n2k) ̃ deterministic algorithm due to Thorup. Moreover, several -approximation algorithms. 2 are known for the problem (due to Saran and Vazirani, Naor and Rabani, and Ravi and Sinha).
In this paper we consider the k-Cut problem: given an edge-weighted graph G = (V; E; w) and an integer k, delete a minimum-weight set of edges so that G has at least k connected components. This problem is a natural generalization of the global min-cut problem, where the goal is to break the graph into k = 2 pieces.
