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This paper investigates an uplink non-orthogonal multiple access (NOMA)-based mobile-edge computing (MEC) network. Our objective is to minimize the total energy consumption of all users including transmission energy and local computation…

Signal Processing · Electrical Eng. & Systems 2019-02-18 Zhaohui Yang , Jiancao Hou , Mohammad Shikh-Bahaei

We introduce noisy beeping networks, where nodes have limited communication capabilities, namely, they can only emit energy or sense the channel for energy. Furthermore, imperfections may cause devices to malfunction with some fixed…

Data Structures and Algorithms · Computer Science 2022-08-04 Yagel Ashkenazi , Ran Gelles , Amir Leshem

We show that the $(degree+1)$-list coloring problem can be solved deterministically in $O(D \cdot \log n \cdot\log^2\Delta)$ rounds in the \CONGEST model, where $D$ is the diameter of the graph, $n$ the number of nodes, and $\Delta$ the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-08 Philipp Bamberger , Fabian Kuhn , Yannic Maus

We present improved distributed algorithms for triangle detection and its variants in the CONGEST model. We show that Triangle Detection, Counting, and Enumeration can be solved in $\tilde{O}(n^{1/2})$ rounds. In contrast, the previous…

Data Structures and Algorithms · Computer Science 2018-07-19 Yi-Jun Chang , Seth Pettie , Hengjie Zhang

We revisit the classic broadcast problem, wherein we have $k$ messages, each composed of $O(\log{n})$ bits, distributed arbitrarily across a network. The objective is to broadcast these messages to all nodes in the network. In the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-22 Shashwat Chandra , Yi-Jun Chang , Michal Dory , Mohsen Ghaffari , Dean Leitersdorf

The Quantum CONGEST model is a variant of the CONGEST model, where messages consist of $O(\log(n))$ qubits. We give a general framework for implementing quantum query algorithms in Quantum CONGEST, using the concept of parallel-queries. We…

Quantum Physics · Physics 2022-06-20 Joran van Apeldoorn , Tijn de Vos

Many distributed optimization algorithms achieve existentially-optimal running times, meaning that there exists some pathological worst-case topology on which no algorithm can do better. Still, most networks of interest allow for…

Data Structures and Algorithms · Computer Science 2023-12-29 Bernhard Haeupler , David Wajc , Goran Zuzic

We study the cost of distributed MST construction in the setting where each edge has a latency and a capacity, along with the weight. Edge latencies capture the delay on the links of the communication network, while capacity captures their…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-15 John Augustine , Seth Gilbert , Fabian Kuhn , Peter Robinson , Suman Sourav

Mobile networks are becoming energy hungry, and this trend is expected to continue due to a surge in communication and computation demand. Multi-access Edge Computing (MEC), will entail energy-consuming services and applications, with…

Networking and Internet Architecture · Computer Science 2022-09-29 Neda Shalavi , Giovanni Perin , Andrea Zanella , Michele Rossi

This article investigates emergence and complexity in complex systems that can share information on a network. To this end, we use a theoretical approach from information theory, computability theory, and complex networks. One key studied…

Information Theory · Computer Science 2019-03-20 Felipe S. Abrahão , Klaus Wehmuth , Artur Ziviani

We consider the time and energy complexities of randomized leader election in a multiple-access channel, where the number of devices $n\geq 2$ is unknown. It is well-known that for polynomial-time randomized leader election algorithms with…

Data Structures and Algorithms · Computer Science 2022-05-19 Yi-Jun Chang , Shunhua Jiang

We give a randomized $\Delta$-coloring algorithm in the LOCAL model that runs in $\text{poly} \log \log n$ rounds, where $n$ is the number of nodes of the input graph and $\Delta$ is its maximum degree. This means that randomized…

Data Structures and Algorithms · Computer Science 2022-11-15 Manuela Fischer , Yannic Maus , Magnús M. Halldórsson

In recent years the sleeping model came to the focus of researchers. In this model nodes can go into a sleep state in which they spend no energy but at the same time cannot receive or send messages, nor can they perform internal…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-13 Tzalik Maimon

We show that many classical optimization problems --- such as $(1\pm\epsilon)$-approximate maximum flow, shortest path, and transshipment --- can be computed in $\newcommand{\tmix}{{\tau_{\text{mix}}}}\tmix(G)\cdot n^{o(1)}$ rounds of…

Data Structures and Algorithms · Computer Science 2018-05-29 Mohsen Ghaffari , Jason Li

While previous work on energy-efficient algorithms focused on assumption that tasks can be assigned to any processor, we initially study the problem of task scheduling on restricted parallel processors. The objective is to minimize the…

Data Structures and Algorithms · Computer Science 2013-09-17 Xibo Jin , Fa Zhang , Ying Song , Liya Fan , Zhiyong Liu

This paper provides an algorithmic framework for obtaining fast distributed algorithms for a highly-dynamic setting, in which *arbitrarily many* edge changes may occur in each round. Our algorithm significantly improves upon prior work in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-13 Keren Censor-Hillel , Neta Dafni , Victor I. Kolobov , Ami Paz , Gregory Schwartzman

This paper investigates the energy complexity of distributed graph problems in multi-hop radio networks, where the energy cost of an algorithm is measured by the maximum number of awake rounds of a vertex. Recent works revealed that some…

Data Structures and Algorithms · Computer Science 2023-04-11 Yi-Jun Chang

Consider a distributed task where the communication network is fixed but the local inputs given to the nodes of the distributed system may change over time. In this work, we explore the following question: if some of the local inputs…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-20 Klaus-Tycho Foerster , Janne H. Korhonen , Ami Paz , Joel Rybicki , Stefan Schmid

We present the first sublinear-time algorithm for a distributed message-passing network sto compute its edge connectivity $\lambda$ exactly in the CONGEST model, as long as there are no parallel edges. Our algorithm takes $\tilde…

Data Structures and Algorithms · Computer Science 2019-04-10 Mohit Daga , Monika Henzinger , Danupon Nanongkai , Thatchaphol Saranurak

The recent advent of programmable switches makes distributed algorithms readily deployable in real-world datacenter networks. However, there are still gaps between theory and practice that prevent the smooth adaptation of CONGEST algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-16 Ran Ben Basat , Keren Censor-Hillel , Yi-Jun Chang , Wenchen Han , Dean Leitersdorf , Gregory Schwartzman