On the maximum k-dependent set problem
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 … Webat most k neighbors in S. The name "/c-dependent" arises from the case k = 0, since a 0-dependent set corresponds to an independent set in graph theory. The k-dependence number of G, denoted by ft (G), is the maximum cardinality of a ^-dependent set in G. For a ^-dependent set 5 in a kings graph (toroidal or otherwise), we regard S as
On the maximum k-dependent set problem
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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 … Webthe 3-Colorability problem and the Maximum In-dependent Set problem remain NP-complete on seg-ment graphs. Kratochv l and Ne set ril [22] proved that the Maximum Independent Set problem in segment graphs is NP-hard even if all the segments are restricted to lie in at most two directions in the plane. It has re-
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. 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 that can also be used to solve the maximum independent set problem using the reduction you posted. (You'd need two trivial modifications to the reduction: (1) Add 1-clauses for each …
Web19 de mai. de 2024 · Bibliographic details on The Maximum k-Dependent and f-Dependent Set Problem. Stop the war! Остановите войну! solidarity - - news - - donate … Web15 de dez. de 1993 · The Maximum k-Dependent and f-Dependent Set Problem. Authors: Anders Dessmark. View Profile, Klaus Jansen. View Profile, Andrzej Lingas. ... The …
Web7 de ago. de 2024 · Thus, the maximum IUC problem in a bipartite graph is exactly the problem of finding a maximum 1-dependent set. The maximum 1-dependent set problem was shown to be NP-hard on bipartite, planar graphs in . \(\square \) On the other hand, the maximum IUC problem is easy to solve on a tree (forest), which is a special …
Web10 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. damage to property of othersWeb1 de jan. de 2005 · The maximum k-dependent and f-dependent set problem. In: Ng, K.W., Raghavan, P., Balasubramanian, N.V., Chin, F.Y.L. (eds) Algorithms and … damage to property rpcWeb30 de jan. de 2024 · We present a (1+kk+2)-approximation algorithm for the Maximum k-dependent Set problem on bipartite graphs for any k≥1. For a graph with n vertices and … damage to property michigan lawWebthese 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], damage to property tortWeb15 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 … damage to property policy examplehttp://arxiv-export3.library.cornell.edu/pdf/2110.02487 damage to rented premises coverage explainedWebat most k. The Maximum k-dependent Setproblem is to find a maximum-cardinality k-dependent set in G. This problem, first introduced in [6], is a well-known … damage to rented premises insurance