WebWe consider the $ k {-CUT}$ problem: Given an edge-weighted graph $ G = (V,E,w)$ and an integer k, we want to delete a minimum-weight set of edges so that G has at least k … WebThe minimum \(k\)-cut problem is a natural generalization of the famous minimum cut problem, where we seek a cut that partitions a graph \(G(V,E)\) into \(k\) components. ... Anupam Gupta et al. “Optimal Bounds for the k-cut Problem”. In: arXiv preprint arXiv:2005.08301 (2024). David R. Karger and Clifford Stein. “A New Approach to the ...
Optimal Bounds for the k-cut Problem
WebOct 7, 2024 · For combinatorial algorithms, this algorithm is optimal up to o (1) factors assuming recent hardness conjectures: we show by a straightforward reduction that k-cut on even a simple graph is as hard as (k-1)-clique, establishing a … WebNov 20, 2024 · In the k-cut problem, we are given an edge-weighted graph and want to find the least-weight set of edges whose deletion breaks the graph into k connected … church audio visual installation companies
Optimal Bounds for the k -cut Problem - R Discovery
WebOct 1, 2010 · Abstract In the stochastic multi-armed bandit problem we consider a modification of the UCB algorithm of Auer et al. [4]. For this modified algorithm we give an improved bound on the regret with respect to the optimal reward. While for the original UCB algorithm the regret in K-armed bandits after T trials is bounded by const · … WebDec 26, 2024 · This is a 2D Knapsack-type problem. Specifically, I believe that it may be the 2d Bin-packing problem, but I am not sure. The problem that you are running into is that your formula is not exact, but merely a heuristic lower bounds estimate. To get the exact optimal (best) solution is hard. – RBarryYoung Dec 26, 2024 at 15:17 WebThe canonical optimization variant of the above decision problem is usually known as the Maximum-Cut Problem or Max-Cut and is defined as: Given a graph G, find a maximum cut. The optimization variant is known to be NP-Hard. The opposite problem, that of finding a minimum cut is known to be efficiently solvable via the Ford–Fulkerson algorithm . church audio video systems near me