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Related papers: Certification of Compact Low-Stretch Routing Schem…

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We present PIE, a scalable routing scheme that achieves 100% packet delivery and low path stretch. It is easy to implement in a distributed fashion and works well when costs are associated to links. Scalability is achieved by using virtual…

Networking and Internet Architecture · Computer Science 2013-05-10 Julien Herzen , Cedric Westphal , Patrick Thiran

We present succinct labeling schemes for answering connectivity queries in graphs subject to a specified number of vertex failures. An $f$-vertex/edge fault tolerant ($f$-V/EFT) connectivity labeling is a scheme that produces succinct…

Data Structures and Algorithms · Computer Science 2023-11-17 Merav Parter , Asaf Petruschka , Seth Pettie

In order to investigate the routing aspects of small-world networks, Kleinberg proposes a network model based on a $d$-dimensional lattice with long-range links chosen at random according to the $d$-harmonic distribution. Kleinberg shows…

Discrete Mathematics · Computer Science 2007-05-23 Jianyang Zeng , Wen-Jing Hsu , Jiangdian Wang

In the standard CONGEST model for distributed network computing, it is known that "global" tasks such as minimum spanning tree, diameter, and all-pairs shortest paths, consume large bandwidth, for their running-time is…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-14 Pierre Fraigniaud , Pedro Montealegre , Dennis Olivetti , Ivan Rapaport , Ioan Todinca

This paper deals with local certification, specifically locally checkable proofs: given a graph property, the task is to certify whether a graph satisfies the property. The verification of this certification needs to be done locally without…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Laurent Feuilloley , Jan Janoušek , Jan Matyáš Křišťan , Josef Erik Sedláček

The space-requirement for routing-tables is an important characteristic of routing schemes. For the cost-measure of minimizing the total network load there exist a variety of results that show tradeoffs between stretch and required size for…

Networking and Internet Architecture · Computer Science 2021-01-12 Philipp Czerner , Harald Räcke

Distributed proofs are mechanisms enabling the nodes of a network to collectivity and efficiently check the correctness of Boolean predicates on the structure of the network, or on data-structures distributed over the nodes (e.g., spanning…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-22 Laurent Feuilloley , Pierre Fraigniaud , Juho Hirvonen , Ami Paz , Mor Perry

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

Models for image segmentation, node classification and many other tasks map a single input to multiple labels. By perturbing this single shared input (e.g. the image) an adversary can manipulate several predictions (e.g. misclassify several…

Machine Learning · Computer Science 2024-02-27 Jan Schuchardt , Tom Wollschläger , Aleksandar Bojchevski , Stephan Günnemann

Distributed quantum information in networks is paramount for global secure quantum communication. Moreover, it finds applications as a resource for relevant tasks, such as clock synchronization, magnetic field sensing, and blind quantum…

Certifying the robustness of a graph-based machine learning model poses a critical challenge for safety. Current robustness certificates for graph classifiers guarantee output invariance with respect to the total number of node pair flips…

Machine Learning · Computer Science 2023-06-27 Pierre Osselin , Henry Kenlay , Xiaowen Dong

We present and analyze a simple and general scheme to build a churn (fault)-tolerant structured Peer-to-Peer (P2P) network. Our scheme shows how to "convert" a static network into a dynamic distributed hash table(DHT)-based P2P network such…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-17 Tim Jacobs , Gopal Pandurangan

In this paper we study local routing strategies on geometric graphs. Such strategies use geometric properties of the graph like the coordinates of the current and target nodes to route. Specifically, we study routing strategies in the…

Computational Geometry · Computer Science 2021-02-10 Prosenjit Bose , Matias Korman , André van Renssen , Sander Verdonschot

In local certification, vertices of a $n$-vertex graph perform a local verification to check if a given property is satisfied by the graph. This verification is performed thanks to certificates, which are pieces of information that are…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-05 Nicolas Bousquet , Sébastien Zeitoun

In recent work, Ozgur, Leveque, and Tse (2007) obtained a complete scaling characterization of throughput scaling for random extended wireless networks (i.e., $n$ nodes are placed uniformly at random in a square region of area $n$). They…

Information Theory · Computer Science 2016-11-17 Urs Niesen , Piyush Gupta , Devavrat Shah

A proof-labeling scheme (PLS) for a boolean predicate $\Pi$ on labeled graphs is a mechanism used for certifying the legality with respect to $\Pi$ of global network states in a distributed manner. In a PLS, a certificate is assigned to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-27 Pierre Fraigniaud , Frédéric Mazoit , Pedro Montealegre , Ivan Rapaport , Ioan Todinca

The aim of this paper is to demonstrate the feasibility of authenticated throughput-efficient routing in an unreliable and dynamically changing synchronous network in which the majority of malicious insiders try to destroy and alter…

Cryptography and Security · Computer Science 2009-01-04 Yair Amir , Paul Bunn , Rafail Ostrovksy

Local certification is a topic originating from distributed computing, where a prover tries to convince the vertices of a graph $G$ that $G$ satisfies some property $\mathcal{P}$. To convince the vertices, the prover gives a small piece of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-30 Louis Esperet , Sébastien Zeitoun

The Trinity (Brodsky et al., 2007) spam classification system is based on a distributed hash table that is implemented using a structured peer-to-peer overlay. Such an overlay must be capable of processing hundreds of messages per second,…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-08-14 Alex Brodsky , Scott Lindenberg

While there exist mixnets that can anonymously route large amounts of data packets with end to end latency that can be as low as a second, %making them attractive for a variety of applications, combining this level of performance with…

Cryptography and Security · Computer Science 2024-12-04 Claudia Diaz , Harry Halpin , Aggelos Kiayias