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Motivated by a real-world vehicle routing application, we consider the maximum-weight independent set problem: Given a node-weighted graph, find a set of independent (mutually nonadjacent) nodes whose node-weight sum is maximum. Some of the…

The Maximum Weighted Independent Set (MWIS) problem, which considers a graph with weights assigned to nodes and seeks to discover the "heaviest" independent set, that is, a set of nodes with maximum total weight so that no two nodes in the…

数据结构与算法 · 计算机科学 2020-08-18 Kai Sun

The Maximum Weight Independent Set problem is a fundamental NP-hard problem in combinatorial optimization with several real-world applications. Given an undirected vertex-weighted graph, the problem is to find a subset of the vertices with…

最优化与控制 · 数学 2025-03-05 Ernestine Großmann , Kenneth Langedal , Christian Schulz

An algorithm based on Artificial Neural Networks is proposed in this paper to improve the accuracy of Inertial Navigation System (INS)/ Global Navigation Satellite System (GNSS) integrated navigation during the absence of GNSS signals. The…

信号处理 · 电气工程与系统科学 2020-10-07 Uche Onyekpe , Vasile Palade , Stratis Kanarachos

The maximum independent set problem is a classic optimization problem that has also been studied quite intensively in the distributed setting. While the problem is hard to approximate in general, there are good approximation algorithms…

数据结构与算法 · 计算机科学 2025-06-13 Salwa Faour , Fabian Kuhn

Map labeling is a classical problem in cartography and geographic information systems (GIS) that asks to place labels for area, line, and point features, with the goal to select and place the maximum number of independent, i.e.,…

计算几何 · 计算机科学 2022-02-18 Sujoy Bhore , Guangping Li , Martin Nöllenburg

A powerful technique for solving combinatorial optimization problems is to reduce the search space without compromising the solution quality by exploring intrinsic mathematical properties of the problems. For the maximum weight independent…

最优化与控制 · 数学 2023-01-16 Jianfeng Liu , Sihong Shao , Chaorui Zhang

We present improved results for approximating maximum-weight independent set ($\MaxIS$) in the CONGEST and LOCAL models of distributed computing. Given an input graph, let $n$ and $\Delta$ be the number of nodes and maximum degree,…

分布式、并行与集群计算 · 计算机科学 2020-02-20 Ken-ichi Kawarabayashi , Seri Khoury , Aaron Schild , Gregory Schwartzman

With the recent development of technology, wireless sensor networks (WSN) are becoming an important part of many applications. Knowing the exact location of each sensor in the network is very important issue. Therefore, the localization…

网络与互联网体系结构 · 计算机科学 2016-06-27 Biljana Risteska Stojkoska , Vesna Kirandziska

The Maximum Weight Independent Set (MWIS) problem on finite undirected graphs with vertex weights asks for a set of pairwise nonadjacent vertices of maximum weight sum. MWIS is one of the most investigated and most important algorithmic…

离散数学 · 计算机科学 2019-01-14 Andreas Brandstädt , Raffaele Mosca

Given a graph, the minimum dominating set (MinDS) problem is to identify a smallest set $D$ of vertices such that every vertex not in $D$ is adjacent to at least one vertex in $D$. The MinDS problem is a classic $\mathcal{NP}$-hard problem…

社会与信息网络 · 计算机科学 2023-08-01 Enqiang Zhu , Yu Zhang , Shengzhi Wang , Darren Strash , Chanjuan Liu

We consider the Maximum Weight Independent Set Problem (MWIS) in $d$-claw free graphs, i.e. the task of computing an independent set of maximum weight in a given $d$-claw free graph $G=(V,E)$ equipped with a positive weight function…

数据结构与算法 · 计算机科学 2021-06-08 Meike Neuwohner

We revisit the recent polynomial-time algorithm for the MAX WEIGHT INDEPENDENT SET (MWIS) problem in bounded-degree graphs that do not contain a fixed graph whose every component is a subdivided claw as an induced subgraph [Abrishami,…

数据结构与算法 · 计算机科学 2024-01-15 Tara Abrishami , Maria Chudnovsky , Cemil Dibek , Marcin Pilipczuk , Paweł Rzążewski

We present a simple distributed $\Delta$-approximation algorithm for maximum weight independent set (MaxIS) in the $\mathsf{CONGEST}$ model which completes in $O(\texttt{MIS}(G)\cdot \log W)$ rounds, where $\Delta$ is the maximum degree,…

分布式、并行与集群计算 · 计算机科学 2017-08-02 Reuven Bar-Yehuda , Keren Censor-Hillel , Mohsen Ghaffari , Gregory Schwartzman

We investigate the use of message-passing algorithms for the problem of finding the max-weight independent set (MWIS) in a graph. First, we study the performance of the classical loopy max-product belief propagation. We show that each fixed…

人工智能 · 计算机科学 2016-11-15 Sujay Sanghavi , Devavrat Shah , Alan Willsky

We study a natural extension of the Maximum Weight Independent Set Problem (MWIS), one of the most studied optimization problems in Graph algorithms. We are given a graph $G=(V,E)$, a weight function $w: V \rightarrow \mathbb{R^+}$, a…

数据结构与算法 · 计算机科学 2014-09-30 Sayan Bandyapadhyay

The Maximum Weight Independent Set (MWIS) problem on finite undirected graphs with vertex weights asks for a set of pairwise nonadjacent vertices of maximum weight sum. MWIS is one of the most investigated and most important algorithmic…

离散数学 · 计算机科学 2016-07-01 Andreas Brandstadt , Raffaele Mosca

Computing a maximum independent set (MaxIS) is a fundamental NP-hard problem in graph theory, which has important applications in a wide spectrum of fields. Since graphs in many applications are changing frequently over time, the problem of…

数据结构与算法 · 计算机科学 2022-04-19 Xiangyu Gao , Jianzhong Li , Dongjing Miao

The Maximum Independent Set problem is fundamental for extracting conflict-free structure from large graphs, with applications in scheduling, recommendation, and network analysis. However, existing heuristics can stagnate when search…

人工智能 · 计算机科学 2025-10-29 Yu Zhang , Witold Pedrycz , Chanjuan Liu , Enqiang Zhu

Traffic management in a city has become a major problem due to the increasing number of vehicles on roads. Intelligent Transportation System (ITS) can help the city traffic managers to tackle the problem by providing accurate traffic…

机器学习 · 计算机科学 2021-11-04 Shatrughan Modi , Jhilik Bhattacharya , Prasenjit Basak
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