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Robots have become increasingly prevalent in dynamic and crowded environments such as airports and shopping malls. In these scenarios, the critical challenges for robot navigation are reliability and timely arrival at predetermined…

Robotics · Computer Science 2023-09-21 Zhirui Sun , Boshu Lei , Peijia Xie , Fugang Liu , Junjie Gao , Ying Zhang , Jiankun Wang

We study the problem of collective tree exploration in which a team of $k$ mobile agents must collectively visit all nodes of an unknown tree in as few moves as possible. The agents all start from the root and discover adjacent edges as…

Data Structures and Algorithms · Computer Science 2025-07-22 Romain Cosson , Laurent Massoulié

Balanced search trees are widely used in computer science to efficiently maintain dynamic ordered data. To support efficient set operations (e.g., union, intersection, difference) using trees, the join-based framework is widely studied.…

Data Structures and Algorithms · Computer Science 2025-10-24 Michael Goodrich , Yan Gu , Ryuto Kitagawa , Yihan Sun

In concurrent data structures, the efficiency of set operations can vary significantly depending on the workload characteristics. Numerous concurrent set implementations are optimized and fine-tuned to excel in scenarios characterized by…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-29 Daniel Manor , Mor Perry , Moshe Sulamy

In data centers, data replication is the primary method used to ensure availability of customer data. To avoid correlated failure, cloud storage infrastructure providers model hierarchical failure domains using a tree, and avoid placing a…

Data Structures and Algorithms · Computer Science 2017-04-21 K. Alex Mills , R. Chandrasekaran , Neeraj Mittal

A dynamic forest data structure maintains a forest (and associated data like edge weights) under edge insertions and deletions. Dynamic forests are widely used to solve online and offline graph problems. Well-known examples of dynamic…

Data Structures and Algorithms · Computer Science 2024-01-09 Benjamin Aram Berendsohn

We study the complexity of finding communication trees with the lowest possible completion time for rooted, irregular gather and scatter collective communication operations in fully connected, $k$-ported communication networks under a…

Computational Complexity · Computer Science 2018-11-28 Jesper Larsson Träff

In order to increase availability in a distributed system some or all of the data items are replicated and stored at separate sites. This is an issue of key concern especially since there is such a proliferation of wireless technologies and…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-11 Joel M. Crichlow , Stephen J. Hartley , Michael Hosein

Concurrent data structures serve as fundamental building blocks for concurrent computing. Many concurrent counterparts have been designed for basic sequential mechanisms; however, one notable omission is a concurrent tree that supports…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-14 Gal Sela , Erez Petrank

Augmentation makes search trees tremendously more versatile, allowing them to support efficient aggregation queries, order-statistic queries, and range queries in addition to insertion, deletion, and lookup. In this paper, we present the…

Data Structures and Algorithms · Computer Science 2026-01-27 Evan Wrench , Ajay Singh , Younghun Roh , Panagiota Fatourou , Siddhartha Jayanti , Eric Ruppert , Yuanhao Wei

We introduce top trees as a design of a new simpler interface for data structures maintaining information in a fully-dynamic forest. We demonstrate how easy and versatile they are to use on a host of different applications. For example, we…

Data Structures and Algorithms · Computer Science 2007-05-23 Stephen Alstrup , Jacob Holm , Kristian de Lichtenberg , Mikkel Thorup

Finding a provably correct subquadratic synchronization algorithm for many filesystem replicas is one of the main theoretical problems in Operational Transformation (OT) and Conflict-free Replicated Data Types (CRDT) frameworks. Based on…

Information Theory · Computer Science 2023-05-19 Elod P. Csirmaz , Laszlo Csirmaz

Many applications model their data in a general-purpose storage format such as JSON. This data structure is modified by the application as a result of user input. Such modifications are well understood if performed sequentially on a single…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-16 Martin Kleppmann , Alastair R. Beresford

Collaborative Data Sharing is widely noticed to be essential for distributed systems. Among several proposed strategies, conflict-free techniques are considered useful for serverless concurrent systems. They aim at making shared data be…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-02 Masato Takeichi

Traversals are commonly seen in tree data structures, and performance-enhancing transformations between tree traversals are critical for many applications. Existing approaches to reasoning about tree traversals and their transformations are…

Programming Languages · Computer Science 2019-10-28 Yanjun Wang , Jinwei Liu , Dalin Zhang , Xiaokang Qiu

With distributed computing and mobile applications, synchronizing diverging replicas of data structures is a more and more common problem. We use algebraic methods to reason about filesystem operations, and introduce a simplified definition…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-24 Elod Pal Csirmaz

Motion planning under differential constraints is a classic problem in robotics. To date, the state of the art is represented by sampling-based techniques, with the Rapidly-exploring Random Tree algorithm as a leading example. Yet, the…

Robotics · Computer Science 2015-03-03 Edward Schmerling , Lucas Janson , Marco Pavone

This paper proposes a fully data-driven motion-planning framework for homogeneous linear multi-agent systems that operate in shared, obstacle-filled workspaces without access to explicit system models. Each agent independently learns its…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Babak Esmaeili , Hamidreza Modares

Mutual learning of a pair of tree parity machines with continuous and discrete weight vectors is studied analytically. The analysis is based on a mapping procedure that maps the mutual learning in tree parity machines onto mutual learning…

Disordered Systems and Neural Networks · Physics 2009-11-07 Michal Rosen-Zvi , Einat Klein , Ido Kanter , Wolfgang Kinzel

This work unifies insights from the systems and functional programming communities, in order to enable compositional reasoning about software which is nonetheless efficiently realizable in hardware. It exploits a correspondence between…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-18 Thomas Dickerson