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Information-centric networking proposals attract much attention in the ongoing search for a future communication paradigm of the Internet. Replacing the host-to-host connectivity by a data-oriented publish/subscribe service eases content…

Networking and Internet Architecture · Computer Science 2013-11-12 Matthias Wählisch , Thomas C. Schmidt , Markus Vahlenkamp

The connectivity of the Internet at the Autonomous System level is influenced by the network operator policies implemented. These in turn impose a direction to the announcement of address advertisements and, consequently, to the paths that…

Networking and Internet Architecture · Computer Science 2010-05-07 Pedro David Arjona-Villicaña , Costas C. Constantinou , Alexander S. Stepanenko

Edge connectivity and vertex connectivity are two fundamental concepts in graph theory. Although by now there is a good understanding of the structure of graphs based on their edge connectivity, our knowledge in the case of vertex…

Discrete Mathematics · Computer Science 2013-04-17 Keren Censor-Hillel , Mohsen Ghaffari , Fabian Kuhn

The paper presents a topology-agnostic greedy protocol for network-on-chip routing. The proposed routing algorithm can tolerate any number of permanent faults, and is proven to be deadlock-free. We introduce a specialized variant of the…

Networking and Internet Architecture · Computer Science 2018-11-29 Pieter Stroobant , Sergi Abadal , Wouter Tavernier , Eduard Alarcón , Didier Colle , Mario Pickavet

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

In this paper we improve the approximation ratio for the problem of scheduling packets on line networks with bounded buffers, where the aim is that of maximizing the throughput. Each node in the network has a local buffer of bounded size…

Data Structures and Algorithms · Computer Science 2020-09-30 Guy Even , Moti Medina , Adi Rosén

This work establishes rigorous, novel and widely applicable stability guarantees and transferability bounds for graph convolutional networks -- without reference to any underlying limit object or statistical distribution. Crucially,…

Machine Learning · Computer Science 2023-10-03 Christian Koke

Communication networks, power grids, and transportation networks are all examples of networks whose performance depends on reliable connectivity of their underlying network components even in the presence of usual network dynamics due to…

Physics and Society · Physics 2020-06-26 Arman Mohseni-Kabir , Mihir Pant , Don Towsley , Saikat Guha , Ananthram Swami

We study stochastic graph optimization problems in a novel distributed setting. As in the standard centralized setting, a random subgraph $G^*$ of a known base graph $G$ is realized by including each edge $e$ independently with a known…

Data Structures and Algorithms · Computer Science 2026-05-21 Keren Censor-Hillel , Aditi Dudeja , George Giakkoupis

Networks are at the core of modeling many engineering contexts, mainly in the case of infrastructures and communication systems. The resilience of a network, which is the property of the system capable of absorbing external shocks, is then…

Social and Information Networks · Computer Science 2019-03-28 Roy Cerqueti , Giovanna Ferraro , Antonio Iovanella

In this paper, we use the concept of colored edge graphs to model homogeneous faults in networks. We then use this model to study the minimum connectivity (and design) requirements of networks for being robust against homogeneous faults…

Discrete Mathematics · Computer Science 2012-07-24 Yongge Wang , Yvo Desmedt

Let $S \subset \mathbb{R}^2$ be a set of $n$ sites. The unit disk graph $\text{UD}(S)$ on $S$ has vertex set $S$ and an edge between two distinct sites $s,t \in S$ if and only if $s$ and $t$ have Euclidean distance $|st| \leq 1$. A routing…

Computational Geometry · Computer Science 2018-02-13 Haim Kaplan , Wolfgang Mulzer , Liam Roditty , Paul Seiferth

In this paper, we investigate the use of variable speed limits for resilient operation of transportation networks, which are modeled as dynamical flow networks under local routing decisions. In such systems, some external inflow is injected…

Systems and Control · Computer Science 2016-09-22 A. Yasin Yazicioglu , Mardavij Roozbehani , Munther A. Dahleh

In real-world systems, the relationships and connections between components are highly complex. Real systems are often described as networks, where nodes represent objects in the system and edges represent relationships or connections…

Algebraic Topology · Mathematics 2024-06-24 Shen Zhang

We live in a world increasingly dominated by networks -- communications, social, information, biological etc. A central attribute of many of these networks is that they are dynamic, that is, they exhibit structural changes over time. While…

Networking and Internet Architecture · Computer Science 2010-12-02 Prithwish Basu , Amotz Bar-Noy , Ram Ramanathan , Matthew P. Johnson

With the increasing scale of communication networks, the likelihood of failures grows as well. Since these networks form a critical backbone of our digital society, it is important that they rely on robust routing algorithms which ensure…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-13 Christoph Lenzen , Moti Medina , Mehrdad Saberi , Stefan Schmid

We consider the problem of diffusing information in networks that contain malicious nodes. We assume that each normal node in the network has no knowledge of the network topology other than an upper bound on the number of malicious nodes in…

Social and Information Networks · Computer Science 2012-03-29 Haotian Zhang , Shreyas Sundaram

Random K-out graphs are garnering interest in designing distributed systems including secure sensor networks, anonymous crypto-currency networks, and differentially-private decentralized learning. In these security-critical applications, it…

Information Theory · Computer Science 2023-11-07 Eray Can Elumar , Mansi Sood , Osman Yağan

Given a resistive electrical network, we would like to determine whether all the resistances (edges) in the network are working, and if not, identify which edge (or edges) are faulty. To make this determination, we are allowed to measure…

Optimization and Control · Mathematics 2026-02-17 Barbara Fiedorowicz , Amitabh Basu

A path in an edge colored graph is said to be a rainbow path if no two edges on the path have the same color. An edge colored graph is (strongly) rainbow connected if there exists a (geodesic) rainbow path between every pair of vertices.…

Discrete Mathematics · Computer Science 2011-10-10 Prabhanjan Ananth , Meghana Nasre , Kanthi K Sarpatwar