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Data dissemination is a fundamental task in distributed computing. This paper studies broadcast problems in various innovative models where the communication network connecting $n$ processes is dynamic (e.g., due to mobility or failures)…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-30 Antoine El-Hayek , Monika Henzinger , Stefan Schmid

We propose a procedure to generate dynamical networks with bursty, possibly repetitive and correlated temporal behaviors. Regarding any weighted directed graph as being composed of the accumulation of paths between its nodes, our…

Physics and Society · Physics 2013-04-10 Alain Barrat , Bastien Fernandez , Kevin K Lin , Lai-Sang Young

Nodes movements play a significant role in disseminating messages in the sparse mobile ad-hoc network. In the network scenarios, where traditional end-to-end paths do not exist, mobility creates opportunities for nodes to connect and…

Networking and Internet Architecture · Computer Science 2013-05-07 Hemal Shah , Yogeshwar Kosta , Vikrant Patel

Motivated by the increasing need to understand the algorithmic foundations of distributed large-scale graph computations, we study a number of fundamental graph problems in a message-passing model for distributed computing where $k \geq 2$…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-07 Gopal Pandurangan , Peter Robinson , Michele Scquizzato

In unsplittable network flow problems, certain nodes must satisfy a combinatorial requirement that the incoming arc flows cannot be split or merged when routed through outgoing arcs. This so-called "no-split no-merge" requirement arises in…

Optimization and Control · Mathematics 2024-03-27 Hosseinali Salemi , Danial Davarnia

We consider combinatorial problems that can be solved in polynomial time for graphs of bounded treewidth but where the order of the polynomial that bounds the running time is expected to depend on the treewidth bound. First we review some…

Data Structures and Algorithms · Computer Science 2015-03-19 Stefan Szeider

The current paper deals with the subject of shortest path routing in transportation networks (in terms of travelling time), where the speed in several of the network's roads is a function of the time interval. The main contribution of the…

Data Structures and Algorithms · Computer Science 2016-01-08 Costas K. Constantinou , Georgios Ellinas , Christos Panayiotou , Marios Polycarpou

Satellite communications present challenging characteristics. Continuous end-to-end connectivity may not be available due to the large distances between satellites. Moreover, resources such as link capacity and buffer memory may be limited.…

Networking and Internet Architecture · Computer Science 2026-03-10 Tania Alhajj , Vincent Corlay

This paper discusses distributed optimization over a directed graph. We begin with some well known algorithms which achieve consensus among agents including FROST [1], which possesses the quickest convergence to the optimum. It is a well…

Optimization and Control · Mathematics 2021-02-12 Shuubham Ojha , Ketan Rajawat

We revisit the classic broadcast problem, wherein we have $k$ messages, each composed of $O(\log{n})$ bits, distributed arbitrarily across a network. The objective is to broadcast these messages to all nodes in the network. In the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-22 Shashwat Chandra , Yi-Jun Chang , Michal Dory , Mohsen Ghaffari , Dean Leitersdorf

We study two "above guarantee" versions of the classical Longest Path problem on undirected and directed graphs and obtain the following results. In the first variant of Longest Path that we study, called Longest Detour, the task is to…

Data Structures and Algorithms · Computer Science 2022-01-11 Fedor V. Fomin , Petr A. Golovach , William Lochet , Danil Sagunov , Kirill Simonov , Saket Saurabh

In this paper we study the time complexity of the single-source reachability problem and the single-source shortest path problem for directed unweighted graphs in the Broadcast CONGEST model. We focus on the case where the diameter $D$ of…

Data Structures and Algorithms · Computer Science 2019-10-15 Shiri Chechik , Doron Mukhtar

Accurate traffic forecasting is a fundamental problem in intelligent transportation systems and learning long-range traffic representations with key information through spatiotemporal graph neural networks (STGNNs) is a basic assumption of…

Machine Learning · Computer Science 2024-03-26 Qinyao Luo , Silu He , Xing Han , Yuhan Wang , Haifeng Li

Smart cities today can utilize Vehicular Delay Tolerant Networks (VDTN) to collect data from connected-objects in the environment for various delay-tolerant applications. They can take advantage of the available Intelligent Transportation…

Networking and Internet Architecture · Computer Science 2024-01-09 Ngurah Indra Er , Kamal Deep Singh , Christophe Couturier , Jean-Marie Bonnin

We present a method aimed to compute the communicability (broadcast and receive) of nodes through causal paths in temporal networks. The method considers all possible combinations of chronologically ordered products of adjacency matrices of…

Physics and Society · Physics 2022-02-07 Agostino Funel

We address the problem of testing whether a given dynamic graph is temporally connected, {\it i.e} a temporal path (also called a {\em journey}) exists between all pairs of vertices. We consider a discrete version of the problem, where the…

Data Structures and Algorithms · Computer Science 2014-08-06 Matthieu Barjon , Arnaud Casteigts , Serge Chaumette , Colette Johnen , Yessin M. Neggaz

Logistics and transportation networks require a large amount of resources to realize necessary connections between locations and minimizing these resources is a vital aspect of planning research. Since such networks have dynamic connections…

Social and Information Networks · Computer Science 2024-09-02 Argyrios Deligkas , Michelle Döring , Eduard Eiben , Tiger-Lily Goldsmith , George Skretas , Georg Tennigkeit

Graph planning gives rise to fundamental algorithmic questions such as shortest path, traveling salesman problem, etc. A classical problem in discrete planning is to consider a weighted graph and construct a path that maximizes the sum of…

Artificial Intelligence · Computer Science 2018-02-13 Krishnendu Chatterjee , Laurent Doyen

We consider a single-hop ad hoc network in which each node aims to broadcast packets to its neighboring nodes by using multiple slotted, TDD collision channels. There is no cooperation among the nodes. To ensure successful broadcast, we…

Information Theory · Computer Science 2020-09-22 Fang Liu , Kenneth W. Shum , Yijin Zhang , Wing Shing Wong

Community search is a well-studied problem which, given a static graph and a query set of vertices, requires to find a cohesive (or dense) subgraph containing the query vertices. In this paper we study the problem of community search in…

Data Structures and Algorithms · Computer Science 2020-11-12 Ioanna Tsalouchidou , Francesco Bonchi , Ricardo Baeza-Yates