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We consider a mesh network at the edge of a wireless network that connects users to the core network via multiple base stations. For this scenario, we present a novel tree-search-based algorithm that strives to identify effective…

Networking and Internet Architecture · Computer Science 2025-04-03 Siddhartha Kumar , Mohammad Hossein Moghaddam , Andreas Wolfgang , Tommy Svensson

Recently, Hegerfeld and Kratsch [ESA 2023] obtained the first tight algorithmic results for hard connectivity problems parameterized by clique-width. Concretely, they gave one-sided error Monte-Carlo algorithms that given a…

Data Structures and Algorithms · Computer Science 2024-02-27 Narek Bojikian , Stefan Kratsch

How to efficiently design a communication network is a paramount task for network designing and engineering. It is, however, not a single objective optimization process as perceived by most previous researches, i.e., to maximize its…

Networking and Internet Architecture · Computer Science 2015-05-14 Guoqiang Zhang

We consider the problem of topology recognition in wireless (radio) networks modeled as undirected graphs. Topology recognition is a fundamental task in which every node of the network has to output a map of the underlying graph i.e., an…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-07 Barun Gorain , Andrzej Pelc

User scheduling and beamforming design are two crucial yet coupled topics for wireless communication systems. They are usually optimized separately with conventional optimization methods. In this paper, a novel cross-layer optimization…

Information Theory · Computer Science 2022-03-03 Shiwen He , Zhenyu An , Jianyue Zhu , Min Zhang , Yongming Huang , Yaoxue Zhang

Software-Defined Networking (SDN) enables flexible network resource allocations for traffic engineering, but at the same time the scalability problem becomes more serious since traffic is more difficult to be aggregated. Those crucial…

Networking and Internet Architecture · Computer Science 2014-05-09 Liang-Hao Huang , Hui-Ju Hung , Chih-Chung Lin , De-Nian Yang

It is required to find an optimal order of constructing the edges of a network so as to minimize the sum of the weighted connection times of relevant pairs of vertices. Construction can be performed anytime anywhere in the network, with a…

Data Structures and Algorithms · Computer Science 2021-04-20 Igor Averbakh

We consider in this paper the problem of discovering, via a traceroute algorithm, the topology of a network, whose graph is spanned by an infinite branching process. A subset of nodes is selected according to some criterion. As a measure of…

Networking and Internet Architecture · Computer Science 2009-08-25 Fabrice Guillemin , Philippe Robert

The Steiner tree problem is one of the most prominent problems in network design. Given an edge-weighted undirected graph and a subset of the vertices, called terminals, the task is to compute a minimum-weight tree containing all terminals…

Data Structures and Algorithms · Computer Science 2024-08-09 Jarosław Byrka , Fabrizio Grandoni , Vera Traub

We initiate a systematic study of utilizing predictions to improve over approximation guarantees of classic algorithms, without increasing the running time. We propose a systematic method for a wide class of optimization problems that ask…

Data Structures and Algorithms · Computer Science 2024-11-26 Antonios Antoniadis , Marek Eliáš , Adam Polak , Moritz Venzin

In this lecture we will consider the minimum weight spanning tree (MST) problem, i.e., one of the simplest and most vital combinatorial optimization problems. We will discuss a particular greedy algorithm that allows to compute a MST for…

Data Structures and Algorithms · Computer Science 2012-09-21 O. Melchert

We analyze a new general representation for the Minimum Weight Steiner Tree (MST) problem which translates the topological connectivity constraint into a set of local conditions which can be analyzed by the so called cavity equations…

Statistical Mechanics · Physics 2009-01-14 M. Bayati , A. Braunstein , R. Zecchina

Future wireless networks are envisioned to integrate multi-hop, multi-operator, multi-technology (m3) components in order to meet the increasing traffic demand at an acceptable price for subscribers. The performance of such a network…

Networking and Internet Architecture · Computer Science 2016-12-19 Beatriz Lorenzo , Savo Glisic

Multicast routing is considered as one of the most important process in Mobile Ad hoc Networks (MANETs) to enable video sharing and data dissemination. Multicast routing can be used without any difficulties if a medium can be accessed by…

Networking and Internet Architecture · Computer Science 2016-06-01 Mustafa Mahdi Ali

Fixed parameter tractable algorithms for bounded treewidth are known to exist for a wide class of graph optimization problems. While most research in this area has been focused on exact algorithms, it is hard to find decompositions of…

Data Structures and Algorithms · Computer Science 2016-10-05 Thomas Bosman

Given a set of n data objects and their pairwise dissimilarities, the goal of the minimum quartet tree cost (MQTC) problem is to construct an optimal tree from the total number of possible combinations of quartet topologies on n, where…

Discrete Mathematics · Computer Science 2018-07-03 Sergio Consoli , Jan Korst , Gijs Geleijnse , Steffen Pauws

Let $R$ and $B$ be two disjoint sets of points in the plane where the points of $R$ are colored red and the points of $B$ are colored blue, and let $n=|R\cup B|$. A bichromatic spanning tree is a spanning tree in the complete bipartite…

Computational Geometry · Computer Science 2016-11-08 Ahmad Biniaz , Prosenjit Bose , David Eppstein , Anil Maheshwari , Pat Morin , Michiel Smid

In a classical covering problem, we are given a set of requests that we need to satisfy (fully or partially), by buying a subset of items at minimum cost. For example, in the k-MST problem we want to find the cheapest tree spanning at least…

Data Structures and Algorithms · Computer Science 2011-02-28 Marek Cygan , Fabrizio Grandoni , Stefano Leonardi , Marcin Mucha , Marcin Pilipczuk , Piotr Sankowski

Spanning tree problems with specialized constraints can be difficult to solve in real-world scenarios, often requiring intricate algorithmic design and exponential time. Recently, there has been growing interest in end-to-end deep neural…

Machine Learning · Computer Science 2023-06-13 Yuchen Shi , Congying Han , Tiande Guo

We tackle the problem of goal-directed graph construction: given a starting graph, a budget of modifications, and a global objective function, the aim is to find a set of edges whose addition to the graph achieves the maximum improvement in…

Artificial Intelligence · Computer Science 2022-02-17 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi
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