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The problem of learning a computational model from examples has been receiving growing attention. For the particularly challenging problem of learning models of distributed systems, existing results are restricted to models with a fixed…

Formal Languages and Automata Theory · Computer Science 2023-12-13 Dana Fisman , Noa Izsak , Swen Jacobs

We present simple deterministic algorithms for subgraph finding and enumeration in the broadcast CONGEST model of distributed computation: -- For any constant $k$, detecting $k$-paths and trees on $k$ nodes can be done in $O(1)$ rounds. --…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-22 Janne H. Korhonen , Joel Rybicki

An ancestry labeling scheme assigns labels (bit strings) to the nodes of rooted trees such that ancestry queries between any two nodes in a tree can be answered merely by looking at their corresponding labels. The quality of an ancestry…

Data Structures and Algorithms · Computer Science 2009-09-16 Pierre Fraigniaud , Amos Korman

A rateless code encodes a finite length information word into an infinitely long codeword such that longer prefixes of the codeword can tolerate a larger fraction of errors. A rateless code achieves capacity for a family of channels if, for…

Information Theory · Computer Science 2014-06-03 Benny Applebaum , Liron David , Guy Even

In this paper we initiate a study of distributed deterministic broadcasting in ad-hoc wireless networks with uniform transmission powers under the SINR model. We design algorithms in two settings: with and without local knowledge about…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-19 Tomasz Jurdzinski , Dariusz R. Kowalski , Grzegorz Stachowiak

We show that, for every $k\geq 2$, $C_{2k}$-freeness can be decided in $O(n^{1-1/k})$ rounds in the Broadcast CONGEST model, by a deterministic algorithm. This (deterministic) round-complexity is optimal for $k=2$ up to logarithmic factors…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-02 Pierre Fraigniaud , Maël Luce , Frédéric Magniez , Ioan Todinca

We study the problem of broadcasting multiple messages in the CONGEST model. In this problem, a dedicated source node $s$ possesses a set $M$ of messages with every message of size $O(\log n)$ where $n$ is the total number of nodes. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-15 Anton Paramonov , Roger Wattenhofer

We study lower bounds on information dissemination in adversarial dynamic networks. Initially, k pieces of information (henceforth called tokens) are distributed among n nodes. The tokens need to be broadcast to all nodes through a…

Data Structures and Algorithms · Computer Science 2012-08-31 Bernhard Haeupler , Fabian Kuhn

Broadcasting algorithms are important building blocks of distributed systems. In this work we investigate the typical performance of the classical and well-studied push model. Assume that initially one node in a given network holds some…

Combinatorics · Mathematics 2010-02-19 Nikolaos Fountoulakis , Konstantinos Panagiotou

We consider the multihop broadcasting problem for $n$ nodes placed uniformly at random in a disk and investigate the number of hops required to transmit a signal from the central node to all other nodes under three communication models:…

Information Theory · Computer Science 2019-09-02 Christian Schindelhauer , Aditya Oak , Thomas Janson

We examine deterministic broadcasting on multiple-access channels for a scenario when packets are injected continuously by an adversary to the buffers of the devices at rate $\rho$ packages per round. The aim is to maintain system…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-19 Elijah Hradovich , Marek Klonowski , Dariusz R. Kowalski

We consider scaling laws for maximal energy efficiency of communicating a message to all the nodes in a wireless network, as the number of nodes in the network becomes large. Two cases of large wireless networks are studied -- dense random…

Information Theory · Computer Science 2009-05-26 Aman Jain , Sanjeev R. Kulkarni , Sergio Verdu

A labeling scheme for nearest common ancestors assigns a distinct binary string, called the label, to every node of a tree, so that given the labels of two nodes (and no further information about the topology of the tree) we can compute the…

Data Structures and Algorithms · Computer Science 2017-07-20 Paweł Gawrychowski , Jakub Łopuszański

Two mobile agents, starting from different nodes of a network modeled as a graph, and woken up at possibly different times, have to meet at the same node. This problem is known as rendezvous. We consider deterministic distributed rendezvous…

Data Structures and Algorithms · Computer Science 2023-11-23 Avery Miller , Andrzej Pelc

Distance labeling schemes are schemes that label the vertices of a graph with short labels in such a way that the distance between any two vertices $u$ and $v$ can be determined efficiently by merely inspecting the labels of $u$ and $v$,…

Discrete Mathematics · Computer Science 2020-07-07 Victor Chepoi , Arnaud Labourel , Sebastien Ratel

Alice and Bob want to know if two strings of length n are almost equal. That is, do they differ on \textit{at most} a bits? Let 0\leq a\leq n-1. We show that any deterministic protocol, as well as any error-free quantum protocol (C*…

Computational Complexity · Computer Science 2015-01-13 Andris Ambainis , William Gasarch , Aravind Srinavasan , Andrey Utis

Consensus and Broadcast are two fundamental problems in distributed computing, whose solutions have several applications. Intuitively, Consensus should be no harder than Broadcast, and this can be rigorously established in several models.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-17 Andrea Clementi , Luciano Gualà , Emanuele Natale , Francesco Pasquale , Giacomo Scornavacca , Luca Trevisan

While network coding can be an efficient means of information dissemination in networks, it is highly susceptible to "pollution attacks," as the injection of even a single erroneous packet has the potential to corrupt each and every packet…

Information Theory · Computer Science 2019-05-07 Da Wang , Danilo Silva , Frank R. Kschischang

We consider leader election in anonymous radio networks modeled as simple undirected connected graphs. Nodes communicate in synchronous rounds. Nodes are anonymous and execute the same deterministic algorithm, so symmetry can be broken only…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-10 Avery Miller , Andrzej Pelc , Ram Narayan Yadav

We find the capacity region of linear finite-field deterministic networks with many sources and one destination. Nodes in the network are subject to interference and broadcast constraints, specified by the linear finite-field deterministic…

Information Theory · Computer Science 2016-09-08 M. Majid Butt , Giuseppe Caire , Ralf R. Müller