On the maximum k-dependent set problem
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- 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].
On the maximum k-dependent set problem
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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 … 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 …
Web8 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.
Web15 de set. de 2024 · We propose a pseudo-polynomial time algorithm for maximum weighted k distance-d independent set problems on interval graphs, based on a solution … 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 …
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 …
WebAmong others, we show that the decision version of the maximum k-dependent set problem restricted to planar, bipartite graphs is NP-complete for any given k 1: This … how is the meningitis vaccine abbreviatedWeb7 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 … how is the meetingWeb1 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 ... how is the meld score calculatedWebThe maximum independent set problem is NP-hard. However, it can be solved more efficiently than the O ( n2 2 n) time that would be given by a naive brute force algorithm that examines every vertex subset and checks whether it is an independent set. As of 2024 it can be solved in time O (1.1996 n) using polynomial space. [9] how is the megaplier determinedWebat 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 … how is the meningococcal disease spreadWeb13 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 … how is the memory in my pcWeb2) 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 how is the meniscus used to read volume