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Studying distributed computing through the lens of algebraic topology has been the source of many significant breakthroughs during the last two decades, especially in the design of lower bounds or impossibility results for deterministic…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-26 Pierre Fraigniaud , Ran Gelles , Zvi Lotker

This paper gives the first separation of quantum and classical pure (i.e., non-cryptographic) computing abilities with no restriction on the amount of available computing resources, by considering the exact solvability of a celebrated…

Quantum Physics · Physics 2012-10-10 Seiichiro Tani , Hirotada Kobayashi , Keiji Matsumoto

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

Given any multiset F of points in the Euclidean plane and a set R of robots such that |R|=|F|, the Arbitrary Pattern Formation (APF) problem asks for a distributed algorithm that moves robots so as to reach a configuration similar to F.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-07 Serafino Cicerone , Gabriele Di Stefano , Alfredo Navarra

This paper studies a variant of the \emph{leader election} problem under the \emph{stone age} model (Emek and Wattenhofer, PODC 2013) that considers a network of $n$ randomized finite automata with very weak communication capabilities (a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Yehuda Afek , Yuval Emek , Noa Kolikant

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

We consider the problem of steering a collection of n particles that obey identical n-dimensional linear dynamics via a common state feedback law towards a rearrangement of their positions, cast as a controllability problem for a dynamical…

Optimization and Control · Mathematics 2024-12-02 Mahmoud Abdelgalil , Tryphon T. Georgiou

The leader-following consensus problem for general linear multi-agent systems over jointly connected switching networks has been a challenging problem and the solvability of the problem has been limited to the class of linear multi-agent…

Optimization and Control · Mathematics 2026-03-20 Yuhan Chen , Tao Liu , Jie Huang

The problem of electing a leader from among $n$ contenders is one of the fundamental questions in distributed computing. In its simplest formulation, the task is as follows: given $n$ processors, all participants must eventually return a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-17 Dan Alistarh , Rati Gelashvili , Adrian Vladu

Leader election is one of the fundamental problems in distributed computing: a single node, called the leader, must be specified. This task can be formulated either in a weak way, where one node outputs 'leader' and all other nodes output…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-15 Barun Gorain , Avery Miller , Andrzej Pelc

In this paper we show that sufficient multi-partite quantum entanglement helps in fair and unbiased election of a leader in a distributed network of processors with only linear classical communication complexity. We show that a total of…

Quantum Physics · Physics 2007-05-23 Sudebkumar Prasant Pal , Sudhir Kumar Singh , Somesh Kumar

Motivated by advances is nanoscale applications and simplistic robot agents, we look at problems based on using a global signal to move all agents when given a limited number of directional signals and immovable geometry. We study a model…

Computational Geometry · Computer Science 2020-03-31 David Caballero , Angel A. Cantu , Timothy Gomez , Austin Luchsinger , Robert Schweller , Tim Wylie

The leader-following consensus problem for multiple Euler-Lagrange systems was studied recently by the adaptive distributed observer approach under the assumptions that the leader system is neurally stable and the communication network is…

Optimization and Control · Mathematics 2016-04-26 Tao Liu , Jie Huang

We study the problem of leader selection in leader-follower multi-agent systems that are subject to stochastic disturbances. This problem arises in applications such as vehicle formation control, distributed clock synchronization, and…

Optimization and Control · Mathematics 2014-10-27 Stacy Patterson

We investigate computational issues in the distributed model Amoebots of programmable matter. In this model, the computational entities, called particles, are anonymous finite-state machines that operate and move on an hexagonal tasselation…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-01 Giuseppe Antonio Di Luna , Paola Flocchini , Nicola Santoro , Giovanni Viglietta , Yukiko Yamauchi

Given a boolean predicate $\Pi$ on labeled networks (e.g., proper coloring, leader election, etc.), a self-stabilizing algorithm for $\Pi$ is a distributed algorithm that can start from any initial configuration of the network (i.e., every…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Lélia Blin , Laurent Feuilloley , Gabriel Le Bouder

In this paper, we study a linear-quadratic partially observed Stackelberg stochastic differential game problem in which a single leader and multiple followers are involved. We consider more practical formulation for partial information that…

Optimization and Control · Mathematics 2026-05-14 Yichun Li , Yaozhong Hu , Jingtao Shi , Yueyang Zheng

A {\em leader election} algorithm is an elimination process that divides recursively into tow subgroups an initial group of n items, eliminates one subgroup and continues the procedure until a subgroup is of size 1. In this paper the biased…

Data Structures and Algorithms · Computer Science 2007-05-23 Hanene Mohamed

This paper is concerned with a linear-quadratic (LQ) leader-follower differential game with mixed deterministic and stochastic controls. In the game, the follower is a random controller which means that the follower can choose adapted…

Optimization and Control · Mathematics 2025-09-26 Jingtao Shi , Guangchen Wang

In this study, we consider a class of linear matroid interdiction problems, where the feasible sets for the upper-level decision-maker (referred to as a leader) and the lower-level decision-maker (referred to as a follower) are induced by…

Computational Complexity · Computer Science 2025-08-26 Sergey S. Ketkov , Oleg A. Prokopyev