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We consider the minimum vertex cover problem having applications in e.g. biochemistry and network security. Quantum annealers can find the optimum solution of such NP-hard problems, given they can be embedded on the hardware. This is often…

Quantum Physics · Physics 2022-04-26 Elijah Pelofske , Georg Hahn , Hristo N. Djidjev

Generally, multi-objective optimisation problems are solved exactly or approximated by solving a series of scalarisations, for example by dichotomic search. In this paper, we take a different approach and attempt to compute the set of all…

Optimization and Control · Mathematics 2026-01-28 Oliver Bachtler , Felix Fritz , Stefan Ruzika

Say that an edge of a graph G dominates itself and every other edge adjacent to it. An edge dominating set of a graph G = (V,E) is a subset of edges E' of E which dominates all edges of G. In particular, if every edge of G is dominated by…

Discrete Mathematics · Computer Science 2013-03-12 Min Chih Lin , Michel J. Mizrahi , Jayme L. Szwarcfiter

The paper focuses on some versions of connected dominating set problems: basic problems and multicriteria problems. A literature survey on basic problem formulations and solving approaches is presented. The basic connected dominating set…

Data Structures and Algorithms · Computer Science 2020-09-22 Mark Sh. Levin

We study the on-line minimum weighted bipartite matching problem in arbitrary metric spaces. Here, $n$ not necessary disjoint points of a metric space $M$ are given, and are to be matched on-line with $n$ points of $M$ revealed one by one.…

Data Structures and Algorithms · Computer Science 2007-06-06 Béla Csaba , András S. Pluhár

The minimum conductance problem is an NP-hard graph partitioning problem. Apart from the search for bottlenecks in complex networks, the problem is very closely related to the popular area of network community detection. In this paper, we…

Social and Information Networks · Computer Science 2017-04-11 David Chalupa

Due to much closer to real application scenarios,the budgeted influence maximization (BIM) problem has attracted great attention among researchers. As a variant of the influence maximization (IM) problem, the BIM problem aims at mining…

Social and Information Networks · Computer Science 2022-03-23 Jianshe Wu , Junjun Gao , Hongde Zhu , Zulei Zhang

For compressed sensing over arbitrarily connected networks, we consider the problem of estimating underlying sparse signals in a distributed manner. We introduce a new signal model that helps to describe inter-signal correlation among…

Information Theory · Computer Science 2013-10-29 Dennis Sundman , Saikat Chatterjee , Mikael Skoglund

In this paper, we consider the problems of enumerating minimal vertex covers and minimal dominating sets with capacity and/or connectivity constraints. We develop polynomial-delay enumeration algorithms for these problems on bounded-degree…

Data Structures and Algorithms · Computer Science 2024-11-15 Yasuaki Kobayashi , Kazuhiro Kurita , Kevin Mann , Yasuko Matsui , Hirotaka Ono

We study the minimum connected sensor cover problem (MIN-CSC) and the budgeted connected sensor cover (Budgeted-CSC) problem, both motivated by important applications (e.g., reduce the communication cost among sensors) in wireless sensor…

Data Structures and Algorithms · Computer Science 2020-01-23 Lingxiao Huang , Jian Li , Qicai Shi

We prove that Simulated Annealing with an appropriate cooling schedule computes arbitrarily tight constant-factor approximations to the minimum spanning tree problem in polynomial time. This result was conjectured by Wegener (2005). More…

Neural and Evolutionary Computing · Computer Science 2023-07-25 Benjamin Doerr , Amirhossein Rajabi , Carsten Witt

Quantum annealing provides a promising route for the development of quantum optimization devices, but the usefulness of such devices will be limited in part by the range of implementable problems as dictated by hardware constraints. To…

Quantum Physics · Physics 2015-10-14 Walter Vinci , Tameem Albash , Gerardo Paz-Silva , Itay Hen , Daniel A. Lidar

Given a connected, undirected graph whose edges are labelled (or coloured), the minimum labelling spanning tree (MLST) problem seeks a spanning tree whose edges have the smallest number of distinct labels (or colours). In recent work, the…

Optimization and Control · Mathematics 2014-03-05 Sergio Consoli , Nenad Mladenovic , Jose Andres Moreno-Perez

Recently authors have introduced the idea of training discrete weights neural networks using a mix between classical simulated annealing and a replica ansatz known from the statistical physics literature. Among other points, they claim…

Machine Learning · Computer Science 2021-03-17 Vincent Gripon , Matthias Löwe , Franck Vermet

Submodular optimization is a special class of combinatorial optimization arising in several machine learning problems, but also in cooperative control of complex systems. In this paper, we consider agents in an asynchronous, unreliable and…

Systems and Control · Computer Science 2018-12-17 Andrea Testa , Ivano Notarnicola , Giuseppe Notarstefano

A dominating set D in a graph G is a subset of its vertices such that every vertex of the graph which does not belong to set D is adjacent to at least one vertex from set D. A set of vertices of graph G is a global dominating set if it is a…

Discrete Mathematics · Computer Science 2024-10-25 Ernesto Parra Inza , Nodari Vakhania , Jose M. Sigarreta Almira , Frank A. Hernández Mira

This research concerns a type of configuration optimization problems frequently encountered in engineering design and manufacturing, where the envelope volume in space occupied by a number of components needs to be minimized along with…

Computational Engineering, Finance, and Science · Computer Science 2017-06-13 Pei Cao , Zhaoyan Fan , Robert X. Gao , Jiong Tang

We extend the problem of optimizing user association for load balancing in cellular networks along two dimensions. First, we consider joint transmission (JT), which is one of the coordinated multipoint (CoMP) techniques, with which a user…

Information Theory · Computer Science 2017-06-26 Lei You , Di Yuan

This paper presents a distributed algorithm for finding near optimal dominating sets on grids. The basis for this algorithm is an existing centralized algorithm that constructs dominating sets on grids. The size of the dominating set…

Data Structures and Algorithms · Computer Science 2013-03-15 Elaheh Fata , Stephen L. Smith , Shreyas Sundaram

Since we are not able to replace the battery in a wireless sensor networks (WSNs), the issues of energy and lifetime are the most important parameters. In asymmetrical networks, different sensors with various abilities are used. Super…

Networking and Internet Architecture · Computer Science 2013-05-15 Mostafa Azami , Manij Ranjbar , Ali Shokouhi rostami , Amir Jahani Amiri