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We consider a distributed detection system with communication constraints, where several nodes are arranged in an arbitrary tree topology, under the assumption of conditionally independent observations. We propose a cyclic design procedure…

Information Theory · Computer Science 2015-01-23 Alla Tarighati , Joakim Jalden

We give a simple characterization of the functions that can be computed deterministically by anonymous processes in dynamic networks, depending on the number of leaders in the network. In addition, we provide efficient distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Giuseppe A. Di Luna , Giovanni Viglietta

Leader Election is an important primitive for programmable matter, since it is often an intermediate step for the solution of more complex problems. Although the leader election problem itself is well studied even in the specific context of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-19 Jérémie Chalopin , Shantanu Das , Maria Kokkou

Two mobile agents, starting from different nodes of an $n$-node network at possibly different times, have to meet at the same node. This problem is known as rendezvous. Agents move in synchronous rounds using a deterministic algorithm. In…

Data Structures and Algorithms · Computer Science 2014-10-07 Avery Miller , Andrzej Pelc

This paper concerns designing distributed algorithms that are {\em singularly optimal}, i.e., algorithms that are {\em simultaneously} time and message {\em optimal}, for the fundamental leader election problem in {\em asynchronous}…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-13 Shay Kutten , William K. Moses , Gopal Pandurangan , David Peleg

In this paper, we study arbitrary infinite binary information systems each of which consists of an infinite set called universe and an infinite set of two-valued functions (attributes) defined on the universe. We consider the notion of a…

Computational Complexity · Computer Science 2022-01-05 Mikhail Moshkov

We study the problem of leader election among mobile agents operating in an arbitrary network modeled as an undirected graph. Nodes of the network are unlabeled and all agents are identical. Hence the only way to elect a leader among agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-05 Dariusz Dereniowski , Andrzej Pelc

In this paper, we study arbitrary infinite binary information systems each of which consists of an infinite set called universe and an infinite set of two-valued functions (attributes) defined on the universe. We consider the notion of a…

Computational Complexity · Computer Science 2023-11-30 Kerven Durdymyradov , Mikhail Moshkov

We present a self-stabilizing leader election algorithm for arbitrary networks, with space-complexity $O(\max\{\log \Delta, \log \log n\})$ bits per node in $n$-node networks with maximum degree~$\Delta$. This space complexity is…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-27 Lélia Blin , Sébastien Tixeuil

The entities in directed networks arising from real-world interactions are often naturally organized under some hierarchical structure. Given a directed, weighted, graph with edges and node labels, we introduce ranking problem where the…

Data Structures and Algorithms · Computer Science 2025-02-04 Chamalee Wickrama Arachchi , Nikolaj Tatti

This paper concerns designing distributed algorithms that are singularly optimal, i.e., algorithms that are simultaneously time and message optimal, for the fundamental leader election problem in networks. Our main result is a randomized…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-18 Shay Kutten , William K. Moses , Gopal Pandurangan , David Peleg

We are interested in assigning a pre-specified number of nodes as leaders in order to minimize the mean-square deviation from consensus in stochastically forced networks. This problem arises in several applications including control of…

Optimization and Control · Mathematics 2014-12-11 Fu Lin , Makan Fardad , Mihailo R. Jovanović

A routing labeling scheme assigns a binary string, called a label, to each node in a network, and chooses a distinct port number from $\{1,\ldots,d\}$ for every edge outgoing from a node of degree $d$. Then, given the labels of $u$ and $w$…

Data Structures and Algorithms · Computer Science 2020-03-17 Paweł Gawrychowski , Wojciech Janczewski , Jakub Łopuszański

In content-oblivious computation, n nodes wish to compute a given task over an asynchronous network that suffers from an extremely harsh type of noise, which corrupts the content of all messages across all channels. In a recent work,…

Data Structures and Algorithms · Computer Science 2024-05-07 Fabian Frei , Ran Gelles , Ahmed Ghazy , Alexandre Nolin

We present a complete classification of the deterministic distributed time complexity for a family of graph problems: binary labeling problems in trees. These are locally checkable problems that can be encoded with an alphabet of size two…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-19 Alkida Balliu , Sebastian Brandt , Yuval Efron , Juho Hirvonen , Yannic Maus , Dennis Olivetti , Jukka Suomela

This paper focuses on studying the message complexity of implicit leader election in synchronous distributed networks of diameter two. Kutten et al.\ [JACM 2015] showed a fundamental lower bound of $\Omega(m)$ ($m$ is the number of edges in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-05 Soumyottam Chatterjee , Gopal Pandurangan , Peter Robinson

In this work, we study the fundamental naming and counting problems (and some variations) in networks that are anonymous, unknown, and possibly dynamic. In counting, nodes must determine the size of the network n and in naming they must end…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-02 Othon Michail , Ioannis Chatzigiannakis , Paul G. Spirakis

In this paper, we investigate the leader election problem in diameter-two networks. Recently, Chatterjee et al. [DC 2020] studied the leader election in diameter-two networks. They presented a $O(\log n)$-round deterministic {implicit}…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-23 Manish Kumar , Anisur Rahaman Molla , Sumathi Sivasubramaniam

Leader election is, together with consensus, one of the most central problems in distributed computing. This paper presents a distributed algorithm, called \STT, for electing deterministically a leader in an arbitrary network, assuming…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-10 Arnaud Casteigts , Yves Métivier , John Michael Robson , Akka Zemmari

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais