On the maximum k-dependent set problem

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Web11 de dez. de 2024 · The maximization problem for independence systems is one of the most influential problems in combinatorial optimization: given an independence system \mathcal {M}= (V, \mathcal {I}), and a weight function h: V\rightarrow \mathbb {R}_+, the objective is to find an independent set S\in \mathcal {I} maximizing h (S):=\sum _ {i\in S}h_i.

An Improved Approximation forMaximum k-Dependent Seton …

Web29 de jan. de 2016 · MAX k DOUBLE SET COVER is a generalization of the problem MAX k SET COVER, where we only require simple coverage instead of double coverage (see the celebrated 1998 paper by Feige, "A threshold of $\ln n$ for approximating Set Cover"), where a $(1-1/e)$-approximation is given). Webthe maximum f-dependent set problem. Finally, we provide efficient poly-log time PRAM versions of the aforementioned sequential algorithms. 2 Bipartite graphs Here we show … can herbalife tea cause liver damage

Clique Relaxations in Social Network Analysis: The Maximum k-Plex Problem

Web15 de dez. de 1993 · The Maximum k-Dependent and f-Dependent Set Problem. Pages 88–98. Previous Chapter Next Chapter. ABSTRACT. No abstract available. Index Terms (auto-classified) The Maximum k-Dependent and f-Dependent Set Problem. Mathematics of computing. Discrete mathematics. Theory of computation. Design and analysis of … Web5 de out. de 2024 · For any k≥0, the Maximum k- dependent Set problem is NP-hard on general graphs [6],and by the theorem of Feige and Kogan [8], it cannot be approximated … WebA general technique that can be used to obtain approximation algorithms for various NP-complete problems on planar graphs, which includes maximum independent set, … fit for duty opm

Reduction from Maximum Independent Set to Independent Set …

The Maximum k-Dependent and f-Dependent Set Problem

Web17 de set. de 2024 · Keep in mind, however, that the actual definition for linear independence, Definition 2.5.1, is above. Theorem 2.5.1. A set of vectors {v1, v2, …, vk} is linearly dependent if and only if one of the vectors is in the span of the other ones. Any such vector may be removed without affecting the span. Proof. Web18 de nov. de 2024 · In combinatorial optimization, the independent maximization problem is one important problem. Let V = {1, 2, …, n} be a finite set with weight h i for each element i ∈ V and M = (V, I) denote an independence system, the goal is to select one independent set S in I which maximizes the weight function: h (S): = ∑ i ∈ S h i. It is well … fit for duty nzWeb5 de mai. de 2024 · Realizing quantum speedup for solving practical, computationally hard problems is the central challenge in quantum information science. Ebadi et al. used Rydberg atom arrays composed of up to 289 coupled qubits in two spatial dimensions to investigate quantum optimization algorithms for solving the maximum independent set, … can herbalists prescribe

"Web13 de jul. de 2024 · Prerequisite: NP-Completeness, Independent set. An Independent Set S of graph G = (V, E) is a set of vertices such that no two vertices in S are adjacent to each other. It consists of non- adjacent vertices. Problem: Given a graph G (V, E) and an integer k, the problem is to determine if the graph contains an independent set of vertices of … " - On the maximum k-dependent set problem

On the maximum k-dependent set problem

Web2 de dez. de 2015 · So adding the k is the step where your 2-SAT problem becomes an NP-complete general SAT problem. MAX-2-SAT is an NP-complete extension of 2-SAT … Web2) implies that every maximal (inclusion-wise) independent set is maximum; in other words, all maximal independent sets have the same cardinality. A maximal independent set is called a base of the matroid. Examples. One trivial example of a matroid M= (E;I) is a uniform matroid in which I= fX E: jXj kg; for a given k. It is usually denoted as U

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Web22 de out. de 2014 · Among others, we show that the decision version of the maximum k-dependent set problem restricted to planar, bipartite graphs is NP-complete for any … WebThe Maximum Independent Set Problem Background In graph theory, an independent set is a set of vertices in a graph such that no two of which are connected by an edge. The problem of finding maximum independent sets (MIS) is NP-hard, i.e., it is unlikely to be solved in a time polynomial to the problem size.

WebThe problem of finding a maximmn k-dependent set for k = 2 has several applications, for example in information dissemination in hypercubes with a large number of faulty processors [:~]. A generalization of this problem called the maximum f-dependeut set problem has been given in [7]. WebWe present a ( 1 + k k + 2 )-approximation algorithm for the Maximum k-dependent Set problem on bipartite graphs for any k ≥ 1. For a graph with n vertices and m edges, the …

Webthese papers, Cmax (makespan) which is the maximum total completion time of all jobs is implemented more than other performance criteria and sequence dependent setup times are considered in most of them. The job shop-scheduling problem is widely acknowledged as one of the most difficult NP-complete problems ([19], Web30 de jan. de 2024 · The Maximum k-dependent Set problem is NP-hard on the class of bipartite graphs, for any k ≥ 1. This paper presents a (1 + k k + 2)-approximation …

Web15 de set. de 2024 · In this paper, we consider a maximum weighted k distance-d independent set problem, which is a variant of maximum weighted distance-d independent set problems, on interval graph. We propose a pseudo-polynomial time algorithm for maximum weighted k distance-d independent set problems on interval graphs, based …

Web11 de dez. de 2024 · The two-stage stochastic maximum-weight independent set problem extends the classical independent set problem. Given an independent system … fit for duty physical near meWeb15 de dez. de 1993 · Among others, we show that the decision version of the maximum k-dependent set problem restricted to planar, bipartite graphs is NP-complete for any … fit for duty policy oshaWeb8 de fev. de 2011 · This paper introduces and studies the maximum k-plex problem, which arises in social network analysis and has wider applicability in several important areas employing graph-based data mining. fit for duty policy canadaWeb10 de mar. de 2024 · Thus, the problem consists of finding the best possible sequence so that total tardiness is minimized and makespan does not exceed a predefined K value. In real problems, the initial solution and K must be provided by the scheduler. fit for duty policy albertaWeb9 de nov. de 1992 · We show how we can improve the approximation ratio for the independent set problem on a graph. We obtain thus an approximation ratio … can herbal life cause high blood sugarhttp://arxiv-export3.library.cornell.edu/pdf/2110.02487 fit for duty policy ontarioWeb1 de jun. de 2024 · Extensive experiments for the maximum k-plex problem (k=2,3,4,5) on 80 benchmark instances from the second DIMACS Challenge demonstrate that the proposed approach competes favourably with the ... can herbal medicine cure cancer