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The aim of power management policies is to reduce the amount of energy consumed by computer systems while maintaining satisfactory level of performance. One common method for saving energy is to simply suspend the system during the idle…

Data Structures and Algorithms · Computer Science 2010-09-06 Philippe Baptiste , Marek Chrobak , Christoph Durr

In general dimension, there is no known total polynomial algorithm for either convex hull or vertex enumeration, i.e. an algorithm whose complexity depends polynomially on the input and output sizes. It is thus important to identify…

Computational Geometry · Computer Science 2021-04-26 Ioannis Z. Emiris , Vissarion Fisikopoulos , Bernd Gärtner

We provide a deterministic scheme for solving any decidable problem in the distributed {sleeping model}. The sleeping model is a generalization of the standard message-passing model, with an additional capability of network nodes to enter a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-05 Leonid Barenboim , Tzalik Maimon

This paper proposes a thought experiment to search for efficient bounded algorithms of NPC problems by machine enumeration. The key contributions are: -- On Universal Turing Machines, a program's time complexity should be characterized as:…

Computational Complexity · Computer Science 2012-10-09 YuQian Zhou

We study an NP-hard problem motivated by energy-efficiently maintaining the connectivity of a symmetric wireless communication network: Given an edge-weighted $n$-vertex graph, find a connected spanning subgraph of minimum cost, where the…

Data Structures and Algorithms · Computer Science 2022-03-23 Matthias Bentert , René van Bevern , André Nichterlein , Rolf Niedermeier , Pavel V. Smirnov

Measures of circuit complexity are usually analyzed to ensure the computation of Boolean functions with economy and efficiency. One of these measures is energy complexity, which is related to the number of gates that output true in a…

Computational Complexity · Computer Science 2022-10-14 Janio Carlos Nascimento Silva , Uéverton S. Souza

The problem of designing policies for in-network function computation with minimum energy consumption subject to a latency constraint is considered. The scaling behavior of the energy consumption under the latency constraint is analyzed for…

Networking and Internet Architecture · Computer Science 2016-11-17 Paul Balister , Béla Bollobás , Animashree Anandkumar , Alan Willsky

In a sequence of recent results (PODC 2015 and PODC 2016), the running time of the fastest algorithm for the \emph{minimum spanning tree (MST)} problem in the \emph{Congested Clique} model was first improved to $O(\log \log \log n)$ from…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-19 Sriram V. Pemmaraju , Vivek B. Sardeshmukh

In distributed systems, situations often arise where some nodes each holds a collection of tokens, and all nodes collectively need to determine whether all tokens are distinct. For example, if each token represents a logged-in user, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Sirui Bai , Xinyu Fu , Xudong Wu , Penghui Yao , Chaodong Zheng

Edge computing enables data processing closer to the source, significantly reducing latency, an essential requirement for real-time vision-based analytics such as object detection in surveillance and smart city environments. However, these…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-04 Daghash K. Alqahtani , Maria A. Rodriguez , Muhammad Aamir Cheema , Hamid Rezatofighi , Adel N. Toosi

Efficient stochastic simulation algorithms are of paramount importance to the study of spreading phenomena on complex networks. Using insights and analytical results from network science, we discuss how the structure of contacts affects the…

Physics and Society · Physics 2019-07-24 Guillaume St-Onge , Jean-Gabriel Young , Laurent Hébert-Dufresne , Louis J. Dubé

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

This work studies distributed algorithms for locally optimal load-balancing: We are given a graph of maximum degree $\Delta$, and each node has up to $L$ units of load. The task is to distribute the load more evenly so that the loads of…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-17 Laurent Feuilloley , Juho Hirvonen , Jukka Suomela

Collaborative edge computing (CEC) is an emerging paradigm where heterogeneous edge devices (stakeholders) collaborate to fulfill computation tasks, such as model training or video processing, by sharing communication and computation…

Networking and Internet Architecture · Computer Science 2022-05-03 Jinkun Zhang , Yuezhou Liu , Edmund Yeh

We consider the problem of implementing distributed protocols, despite adversarial channel errors, on synchronous-messaging networks with arbitrary topology. In our first result we show that any $n$-party $T$-round protocol on an undirected…

Data Structures and Algorithms · Computer Science 2015-04-30 William M. Hoza , Leonard J. Schulman

We are interested in the design of robust (or resilient) capacitated rooted Steiner networks in case of terminals with uniform demands. Formally, we are given a graph, capacity and cost functions on the edges, a root, a subset of nodes…

Optimization and Control · Mathematics 2018-01-16 Cédric Bentz , Marie-Christine Costa , Pierre-Louis Poirion , Thomas Ridremont

We consider the Do-All problem, where $p$ cooperating processors need to complete $t$ similar and independent tasks in an adversarial setting. Here we deal with a synchronous message passing system with processors that are subject to crash…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-23 Bogdan S. Chlebus , Leszek Gąsieniec , Dariusz R. Kowalski , Alexander A. Schwarzmann

We propose a simple and time-optimal algorithm for property testing a graph for its conductance in the CONGEST model. Our algorithm takes only $O(\log n)$ rounds of communication (which is known to be optimal), and consists of simply…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-12 Tugkan Batu , Amitabh Trehan , Chhaya Trehan

Symmetric networks designed for energy minimization such as Boltzman machines and Hopfield nets are frequently investigated for use in optimization, constraint satisfaction and approximation of NP-hard problems. Nevertheless, finding a…

Artificial Intelligence · Computer Science 2014-11-17 G. Pinkas , R. Dechter

Over the past 30 years numerous algorithms have been designed for symmetry breaking problems in the LOCAL model, such as maximal matching, MIS, vertex coloring, and edge-coloring. For most problems the best randomized algorithm is at least…

Computational Complexity · Computer Science 2016-04-07 Yi-Jun Chang , Tsvi Kopelowitz , Seth Pettie
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