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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

One way to define the Matching Cut problem is: Given a graph $G$, is there an edge-cut $M$ of $G$ such that $M$ is an independent set in the line graph of $G$? We propose the more general Conflict-Free Cut problem: Together with the graph…

Data Structures and Algorithms · Computer Science 2023-11-03 Johannes Rauch , Dieter Rautenbach , Uéverton S. Souza

Two mobile agents, starting from different nodes of a network at possibly different times, have to meet at the same node. This problem is known as $\mathit{rendezvous}$. Agents move in synchronous rounds. Each agent has a distinct integer…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-12 Avery Miller , Andrzej Pelc

The (Perfect) Matching Cut problem is to decide if a connected graph has a (perfect) matching that is also an edge cut. The Disconnected Perfect Matching problem is to decide if a connected graph has a perfect matching that contains a…

Combinatorics · Mathematics 2023-11-08 Carl Feghali , Felicia Lucke , Daniel Paulusma , Bernard Ries

Global protocol specifications are the starting point of top-down verification methodologies, and serve as a blueprint for synthesizing local specifications that guarantee the correctness of distributed implementations. In this work, we…

Formal Languages and Automata Theory · Computer Science 2026-02-11 Elaine Li , Felix Stutz

In this work we start the investigation of tight complexity bounds for connectivity problems parameterized by cutwidth assuming the Strong Exponential-Time Hypothesis (SETH). Van Geffen et al. posed this question for odd cycle transversal…

Data Structures and Algorithms · Computer Science 2022-12-26 Narek Bojikian , Vera Chekan , Falko Hegerfeld , Stefan Kratsch

This paper concerns {\em randomized} leader election in synchronous distributed networks. A distributed leader election algorithm is presented for complete $n$-node networks that runs in O(1) rounds and (with high probability) uses only…

Data Structures and Algorithms · Computer Science 2013-05-16 Shay Kutten , Gopal Pandurangan , David Peleg , Peter Robinson , Amitabh Trehan

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

A perfect matching cut is a perfect matching that is also a cutset, or equivalently a perfect matching containing an even number of edges on every cycle. The corresponding algorithmic problem, Perfect Matching Cut, is known to be…

Computational Complexity · Computer Science 2023-02-24 Édouard Bonnet , Dibyayan Chakraborty , Julien Duron

Many distributed systems require coordination between the components involved. With the steady growth of such systems, the probability of failures increases, which necessitates scalable fault-tolerant agreement protocols. The most common…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-24 Marius Poke , Torsten Hoefler , Colin W. Glass

It was suggested that a programmable matter system (composed of multiple computationally weak mobile particles) should remain connected at all times since otherwise, reconnection is difficult and may be impossible. At the same time, it was…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-03 Fabien Dufoulon , Shay Kutten , William K. Moses

Many problems of interest for cyber-physical network systems can be formulated as Mixed Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithm to solve this class…

Optimization and Control · Mathematics 2017-12-06 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

In this paper we consider a general problem set-up for a wide class of convex and robust distributed optimization problems in peer-to-peer networks. In this set-up convex constraint sets are distributed to the network processors who have to…

Systems and Control · Computer Science 2013-12-02 Mathias Bürger , Giuseppe Notarstefano , Frank Allgöwer

The Team Orienteering Problem (TOP) is an attractive variant of the Vehicle Routing Problem (VRP). The aim is to select customers and at the same time organize the visits for a vehicle fleet so as to maximize the collected profits and…

Robotics · Computer Science 2016-04-12 Racha El-Hajj , Duc-Cuong Dang , Aziz Moukrim

This paper considers the leader-follower tracking control problem for linear interconnected systems with undirected topology and linear dynamic coupling. Interactions between the systems are treated as linear dynamic uncertainty and are…

Systems and Control · Computer Science 2015-02-17 Yi Cheng , V. Ugrinovskii

We study the problem of rendezvous of two mobile agents starting at distinct locations in an unknown graph. The agents have distinct labels and walk in synchronous steps. However the graph is unlabelled and the agents have no means of…

Data Structures and Algorithms · Computer Science 2014-06-12 Shantanu Das , Dariusz Dereniowski , Adrian Kosowski , Przemyslaw Uznanski

Two identical anonymous mobile agents have to meet at a node of the infinite oriented grid whose nodes are unlabeled. This problem is known as rendezvous. The agents execute the same deterministic algorithm. Time is divided into rounds, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-23 Younan Gao , Andrzej Pelc

Modern Internet services commonly replicate critical data across several geographical locations using state-machine replication (SMR). Due to their reliance on a leader replica, classical SMR protocols offer limited scalability and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-07 Tuanir França Rezende , Pierre Sutra

The population protocol model is a computational model for passive mobile agents. We address the leader election problem, which determines a unique leader on arbitrary communication graphs starting from any configuration. Unfortunately,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-10 Haruki Kanaya , Ryota Eguchi , Taisho Sasada , Michiko Inoue

We investigate the fine-grained complexity of liveness verification for leader contributor systems. These consist of a designated leader thread and an arbitrary number of identical contributor threads communicating via a shared memory. The…

Formal Languages and Automata Theory · Computer Science 2019-10-08 Peter Chini , Roland Meyer , Prakash Saivasan