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We inhabit a world that is not only small but supports efficient decentralized search - an individual using local information can establish a line of communication with another completely unknown individual. Here we augment a hierarchical…

Social and Information Networks · Computer Science 2016-02-01 Soumya Banerjee

Online bin stretching is an online packing problem where some of the best known lower and upper bounds were found through computational searches. The limiting factor in obtaining better bounds with such methods is the computational time…

Optimization and Control · Mathematics 2025-06-24 Antoine Lhomme , Nicolas Catusse , Nadia Brauner

We study the admission control problem in general networks. Communication requests arrive over time, and the online algorithm accepts or rejects each request while maintaining the capacity limitations of the network. The admission control…

Data Structures and Algorithms · Computer Science 2008-12-18 Noga Alon , Yossi Azar , Shai Gutner

Suppose that Alice and Bob are given each an infinite string, and they want to decide whether their two strings are in a given relation. How much communication do they need? How can communication be even defined and measured for infinite…

Computational Complexity · Computer Science 2015-01-26 Pierre Guillon , Emmanuel Jeandel

Communication games are crucial tools for investigating the limitations of physical theories. The communication complexity (CC) problem is a typical example, for which several distributed parties attempt to jointly calculate a given…

Quantum Physics · Physics 2021-06-23 Zhih-Ahn Jia , Lu Wei , Yu-Chun Wu , Guang-Can Guo

We introduce a novel measure for quantifying the error in input predictions. The error is based on a minimum-cost hyperedge cover in a suitably defined hypergraph and provides a general template which we apply to online graph problems. The…

Data Structures and Algorithms · Computer Science 2022-10-11 Giulia Bernardini , Alexander Lindermayr , Alberto Marchetti-Spaccamela , Nicole Megow , Leen Stougie , Michelle Sweering

We study data structure problems related to document indexing and pattern matching queries and our main contribution is to show that the pointer machine model of computation can be extremely useful in proving high and unconditional lower…

Data Structures and Algorithms · Computer Science 2016-04-22 Peyman Afshani , Jesper Sindahl Nielsen

Motivated by exploration of communication-constrained underground environments using robot teams, we study the problem of planning for intermittent connectivity in multi-agent systems. We propose a novel concept of information-consistency…

Robotics · Computer Science 2019-11-21 Filip Klaesson , Petter Nilsson , Aaron D. Ames , Richard M. Murray

Although many authors have considered how many ternary comparisons it takes to sort a multiset $S$ of size $n$, the best known upper and lower bounds still differ by a term linear in $n$. In this paper we restrict our attention to online…

Data Structures and Algorithms · Computer Science 2009-07-07 Travis Gagie , Yakov Nekrich

Online learning is a powerful tool for analyzing iterative algorithms. However, the classic adversarial setup sometimes fails to capture certain regularity in online problems in practice. Motivated by this, we establish a new setup, called…

Machine Learning · Computer Science 2022-04-06 Jonathan Lee , Ching-An Cheng , Ken Goldberg , Byron Boots

One major challenge in implementation of formation control problems stems from the packet loss that occur in these shared communication channel. In the presence of packet loss the coordination information among agents is lost. Moreover,…

Robotics · Computer Science 2015-06-30 Seshadhri Srinivasan , R. Ayyagari

The main conceptual contribution of this paper is investigating quantum multiparty communication complexity in the setting where communication is \emph{oblivious}. This requirement, which to our knowledge is satisfied by all quantum…

Quantum Physics · Physics 2023-12-29 François Le Gall , Daiki Suruga

We give a tight lower bound of Omega(\sqrt{n}) for the randomized one-way communication complexity of the Boolean Hidden Matching Problem [BJK04]. Since there is a quantum one-way communication complexity protocol of O(\log n) qubits for…

Quantum Physics · Physics 2007-05-23 Iordanis Kerenidis , Ran Raz

We study the robust communication complexity of maximum matching. Edges of an arbitrary $n$-vertex graph $G$ are randomly partitioned between Alice and Bob independently and uniformly. Alice has to send a single message to Bob such that Bob…

Data Structures and Algorithms · Computer Science 2023-05-03 Amir Azarmehr , Soheil Behnezhad

We study certificates in static data structures. In the cell-probe model, certificates are the cell probes which can uniquely identify the answer to the query. As a natural notion of nondeterministic cell probes, lower bounds for…

Data Structures and Algorithms · Computer Science 2014-04-29 Yaoyu Wang , Yitong Yin

In this paper, we study a very general type of online network design problem, and generalize two different previous algorithms, one for an online network design problem due to Berman and Coulston [4] and one for (offline) general network…

Data Structures and Algorithms · Computer Science 2017-02-17 Jiawei Qian , Seeun William Umboh , David P. Williamson

The Weighted Tree Augmentation problem (WTAP) is a fundamental problem in network design. In this paper, we consider this problem in the online setting. We are given an $n$-vertex spanning tree $T$ and an additional set $L$ of edges (called…

Data Structures and Algorithms · Computer Science 2019-04-29 Joseph , Naor , Seeun William Umboh , David P. Williamson

This paper studies a class of distributed online convex optimization problems for heterogeneous linear multi-agent systems. Agents in a network, knowing only their own outputs, need to minimize the time-varying costs through neighboring…

Optimization and Control · Mathematics 2023-07-04 Yang Yu , Xiuxian Li , Li Li , Lihua Xie

The online bisection problem is a natural dynamic variant of the classic optimization problem, where one has to dynamically maintain a partition of $n$ elements into two clusters of cardinality $n/2$. During runtime, an online algorithm is…

Data Structures and Algorithms · Computer Science 2024-03-19 Marcin Bienkowski , Stefan Schmid

During the last two decades, a small set of distributed computing models for networks have emerged, among which LOCAL, CONGEST, and Broadcast Congested Clique (BCC) play a prominent role. We consider hybrid models resulting from combining…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-05 Pierre Fraigniaud , Pedro Montealegre , Pablo Paredes , Ivan Rapaport , Martín Ríos-Wilson , Ioan Todinca
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