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Related papers: Improving Robustness of Next-Hop Routing

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We consider the problem of routing on a network in the presence of line segment constraints (i.e., obstacles that edges in our network are not allowed to cross). Let $P$ be a set of $n$ points in the plane and let $S$ be a set of…

Computational Geometry · Computer Science 2019-01-03 Prosenjit Bose , Matias Korman , André van Renssen , Sander Verdonschot

Cooperation between the nodes of wireless multihop networks can increase communication reliability, reduce energy consumption, and decrease latency. The possible improvements are even greater when nodes perform mutual information…

Information Theory · Computer Science 2009-08-27 Stark C. Draper , Lingjia Liu , Andreas F. Molisch , Jonathan S. Yedidia

In ad hoc networks scalability is a critical requirement if these technologies have to reach their full potential. Most of the proposed routing protocols do not operate efficiently with networks of more than a few hundred nodes. In this…

Networking and Internet Architecture · Computer Science 2016-11-18 Marcello Caleffi , Giancarlo Ferraiuolo , Luigi Paura

We formulate and study the thinnest path problem in wireless ad hoc networks. The objective is to find a path from a source to its destination that results in the minimum number of nodes overhearing the message by a judicious choice of…

Networking and Internet Architecture · Computer Science 2013-08-08 Jianhang Gao , Qing Zhao , Ananthram Swami

This paper presents a dual method of closed-form analysis and lightweight simulation that enables an evaluation of the performance of mobile ad hoc networks that is more realistic, efficient, and accurate than those found in existing…

Information Theory · Computer Science 2016-11-17 Don Torrieri , Salvatore Talarico , Matthew C. Valenti

We develop a new metric for quantifying end-to-end throughput in multihop wireless networks, which we term random access transport capacity, since the interference model presumes uncoordinated transmissions. The metric quantifies the…

Information Theory · Computer Science 2016-11-18 Jeffrey G. Andrews , Steven Weber , Marios Kountouris , Martin Haenggi

We propose a novel solution to addressing a long-standing dilemma in the representation learning of graph neural networks (GNNs): how to effectively capture and represent useful information embedded in long-distance nodes to improve the…

Machine Learning · Computer Science 2022-02-17 Ailing Zeng , Minhao Liu , Zhiwei Liu , Ruiyuan Gao , Jing Qin , Qiang Xu

The introduction of relay station (RS) nodes is a key feature in next generation wireless networks such as 3GPP's long term evolution advanced (LTE-Advanced), or the forthcoming IEEE 802.16j WiMAX standard. This paper presents, using game…

Information Theory · Computer Science 2016-11-18 Walid Saad , Zhu Han , Tamer Başar , Mérouane Debbah , Are Hjørungnes

Graph neural networks based on iterative one-hop message passing have been shown to struggle in harnessing the information from distant nodes effectively. Conversely, graph transformers allow each node to attend to all other nodes directly,…

Machine Learning · Computer Science 2024-06-06 Yuhui Ding , Antonio Orvieto , Bobby He , Thomas Hofmann

We study the problem of routing on disjoint paths in bounded treewidth graphs with both edge and node capacities. The input consists of a capacitated graph $G$ and a collection of $k$ source-destination pairs $\mathcal{M} = \{(s_1, t_1),…

Data Structures and Algorithms · Computer Science 2015-12-08 Alina Ene , Matthias Mnich , Marcin Pilipczuk , Andrej Risteski

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

Network coding has proved its efficiency in increasing the network performance for traditional ad-hoc networks. In this paper, we investigate using network coding for enhancing the throughput of multi-hop cognitive radio networks. We…

Networking and Internet Architecture · Computer Science 2014-08-12 Arsany Guirguis , Raymond Guirguis , Moustafa Youssef

The Survivable Network Design problem (SNDP) is a well-studied problem, motivated by the design of networks that are robust to faults under the assumption that any subset of edges up to a specific number can fail. We consider non-uniform…

Data Structures and Algorithms · Computer Science 2024-03-26 Chandra Chekuri , Rhea Jain

We consider the problem of computing a Steiner tree of minimum cost under a hop constraint which requires the depth of the tree to be at most $k$. Our main result is an exact algorithm for metrics induced by graphs with bounded treewidth…

Data Structures and Algorithms · Computer Science 2022-10-12 Martin Böhm , Ruben Hoeksma , Nicole Megow , Lukas Nölke , Bertrand Simon

In this paper we introduce a new network reachability problem where the goal is to find the most reliable path between two nodes in a network, represented as a directed acyclic graph. Individual edges within this network may fail according…

Data Structures and Algorithms · Computer Science 2012-06-26 Allen Chang , Eyal Amir

Graph connectivity and network design problems are among the most fundamental problems in combinatorial optimization. The minimum spanning tree problem, the two edge-connected spanning subgraph problem (2-ECSS) and the tree augmentation…

Data Structures and Algorithms · Computer Science 2020-01-14 David Adjiashvili , Felix Hommelsheim , Moritz Mühlenthaler

Due to their inherent complexity, engineered wireless multihop ad hoc communication networks represent a technological challenge. Having no mastering infrastructure the nodes have to selforganize themselves in such a way that for example…

Statistical Mechanics · Physics 2007-05-23 Ingmar Glauche , Wolfram Krause , Rudolf Sollacher , Martin Greiner

Existing Graph Neural Networks (GNNs) follow the message-passing mechanism that conducts information interaction among nodes iteratively. While considerable progress has been made, such node interaction paradigms still have the following…

Machine Learning · Computer Science 2023-04-14 Jie Chen , Zilong Li , Yin Zhu , Junping Zhang , Jian Pu

In train routing, the headway is the minimum distance that must be maintained between successive trains for safety and robustness. We introduce a model for train routing that requires a fixed headway to be maintained between trains, and…

Data Structures and Algorithms · Computer Science 2025-07-08 Umang Bhaskar , Katharina Eickhoff , Lennart Kauther , Jannik Matuschke , Britta Peis , Laura Vargas Koch

Robust and efficient design of networks on a realistic geographical space is one of the important issues for the realization of dependable communication systems. In this paper, based on a percolation theory and a geometric graph property,…

Data Analysis, Statistics and Probability · Physics 2011-11-04 Yukio Hayashi