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We propose distributed algorithms for two well-established problems that operate efficiently under extremely harsh conditions. Our algorithms achieve state-of-the-art performance in a simple and novel way. Our algorithm for maximal…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-19 Peter Jeavons , Alex Scott , Lei Xu

We consider the problem of searching for a node on a labelled random graph according to a greedy algorithm that selects a route to the desired node using metric information on the graph. Motivated by peer-to-peer networks two types of…

Statistical Mechanics · Physics 2013-05-29 David Lancaster

In this paper, we consider a randomized gossip algorithm for the bearing-based network localization problem. Let each sensor node be able to obtain the bearing vectors and communicate its position estimates with several neighboring agents.…

Systems and Control · Electrical Eng. & Systems 2024-02-08 Nhat-Minh Le-Phan , Minh Hoang Trinh , Phuoc Doan Nguyen

How large a fraction of a graph must one explore to rank a small set of nodes according to their PageRank scores? We show that the answer is quite nuanced, and depends crucially on the interplay between the correctness guarantees one…

Discrete Mathematics · Computer Science 2016-04-04 Marco Bressan , Enoch Peserico , Luca Pretto

We study the problem of randomized Leader Election in synchronous distributed networks with indistinguishable nodes. We consider algorithms that work on networks of arbitrary topology in two settings, depending on whether the size of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-18 Dariusz R. Kowalski , Miguel A. Mosteiro

In this paper, we study the problem of relaying a single bit of information across a series of binary symmetric channels, and the associated trade-off between the number of hops $m$, the transmission time $n$, and the error probability. We…

Information Theory · Computer Science 2022-12-09 Yan Hao Ling , Jonathan Scarlett

We consider computing the longest palindrome in a text of length $n$ in the streaming model, where the characters arrive one-by-one, and we do not have random access to the input. While computing the answer exactly using sublinear memory is…

Data Structures and Algorithms · Computer Science 2016-04-08 Paweł Gawrychowski , Przemysław Uznański

We propose a protocol to solve Leader Election within weak communication models such as the beeping model or the stone-age model. Unlike most previous work, our algorithm operates on only six states, does not require unique identifiers, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-05 Robin Vacus , Isabella Ziccardi

The growing need for reliable communication over untrusted networks has caused a renewed interest in adversarial channel models, which often behave much differently than traditional stochastic channel models. Of particular practical use is…

Information Theory · Computer Science 2021-04-16 Vinayak Suresh , Eric Ruzomberka , David J. Love

A group of $n$ users want to run a distributed protocol $\pi$ over a network where communication occurs via private point-to-point channels. Unfortunately, an adversary, who knows $\pi$, is able to maliciously flip bits on the channels. Can…

Cryptography and Security · Computer Science 2017-07-26 Abhinav Aggarwal , Varsha Dani , Thomas P. Hayes , Jared Saia

We consider ad-hoc networks consisting of $n$ wireless nodes that are located on the plane. Any two given nodes are called neighbors if they are located within a certain distance (communication range) from one another. A given node can be…

Networking and Internet Architecture · Computer Science 2018-11-29 Erdem Koyuncu , Hamid Jafarkhani

Random walks defined on undirected graphs assign the absolute scores to all nodes based on the quality of path they provide for random walkers. In city space syntax, the notion of segregation acquires a statistical interpretation with…

Physics and Society · Physics 2007-10-17 D. Volchenkov , Ph. Blanchard

Two legitimate parties, referred to as Alice and Bob, wish to generate secret keys from the wireless channel in the presence of an eavesdropper, referred to as Eve, in order to use such keys for encryption and decryption. In general, the…

Information Theory · Computer Science 2020-02-19 Nasser Aldaghri , Hessam Mahdavifar

In this paper, we propose an algorithm that targets contamination and eavesdropping adversaries. We consider the case when the number of independent packets available to the eavesdropper is less than the multicast capacity of the network.…

Cryptography and Security · Computer Science 2008-05-16 Yejun Zhou , Hui Li , Jianfeng Ma

This work considers the two-way wiretap channel in which two legitimate users, Alice and Bob, wish to exchange messages securely in the presence of a passive eavesdropper Eve. In the full-duplex scenario, where each node can transmit and…

Information Theory · Computer Science 2011-10-04 Aly El Gamal , O. Ozan Koyluoglu , Moustafa Youssef , Hesham El Gamal

We observe message-efficient distributed algorithms for the Set Cover problem. Given a ground set $U$ of $n$ elements and $m$ subsets of $U$, we aim to find the minimal number of these subsets that contain all elements. In the default…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-02 Thorsten Götte , Christina Kolb , Christian Scheideler , Julian Werthmann

A new channel coding approach was proposed in [1] for random multiple access communication over the discrete-time memoryless channel. The coding approach allows users to choose their communication rates independently without sharing the…

Information Theory · Computer Science 2016-11-15 Zheng Wang , Jie Luo

Consider a single-hop, multi-channel, synchronous radio network in which a source node needs to disseminate a message to all other $n-1$ nodes. An adversary called Eve, which captures environmental noise and potentially malicious…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-15 Haimin Chen , Chaodong Zheng

We consider the problem of guessing a random, finite-alphabet, secret $n$-vector, where the guesses are transmitted via a noisy channel. We provide a single-letter formula for the best achievable exponential growth rate of the $\rho$--th…

Information Theory · Computer Science 2019-10-02 Neri Merhav

Computation of the probability that a random graph is connected is a challenging problem, so it is natural to turn to approximations such as Monte Carlo methods. We describe sequential importance resampling and splitting algorithms for the…

Computation · Statistics 2015-06-04 Rohan Shah , Dirk P. Kroese