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Let G=(V,E) be an undirected loopless graph with possible parallel edges and s and t be two vertices of G. Assume that vertex s is labelled at the initial time step and that every labelled vertex copies its labelling to neighbouring…

Combinatorics · Mathematics 2011-09-08 Raymond Lapus , Frank Simon , Peter Tittmann

We consider the problem of multiple description scalar quantizers and describing the achievable rate-distortion tuples in that setting. We formulate it as a combinatorial optimization problem of arranging numbers in a matrix to minimize the…

Data Structures and Algorithms · Computer Science 2007-05-23 Tanya Y. Berger-Wolf , Edward M. Reingold

This paper investigates the problem of distributed medium access control in a wireless multiple access network with an unknown finite number of homogeneous transmitters. An enhanced physical link layer interface is considered where each…

Information Theory · Computer Science 2018-11-28 Faeze Heydaryan , Yanru Tang , Jie Luo

The congested clique is a synchronous, message-passing model of distributed computing in which each computational unit (node) in each round can send message of O(log n) bits to each other node of the network, where n is the number of nodes.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-28 Tomasz Jurdzinski , Krzysztof Nowicki

In a bi-directional relay channel, a pair of nodes wish to exchange independent messages over a shared wireless half-duplex channel with the help of relays. Recent work has mostly considered information theoretic limits of the…

Information Theory · Computer Science 2010-02-02 Sang Joon Kim , Besma Smida , Natasha Devroye

In this paper, we study the problem of multirate packet delivery in heterogeneous packet erasure broadcast networks. The technical challenge is to enable users receive packets at different rates, as dictated by the quality of their…

Information Theory · Computer Science 2019-08-09 Mohammad A. Zarrabian , Foroogh S. Tabataba , Sina Molavipour , Parastoo Sadeghi

This work is focused on the system-level performance of a broadcast network. Since all transmitters in a broadcast network transmit the identical signal, received signals from multiple transmitters can be combined to improve system…

Information Theory · Computer Science 2021-01-28 Kanchan Chaurasia , Reena Sahu , Abhishek Gupta

Massive graphs, such as online social networks and communication networks, have become common today. To efficiently analyze such large graphs, many distributed graph computing systems have been developed. These systems employ the "think…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-03 Da Yan , James Cheng , Yi Lu , Wilfred Ng

Given a graph $G = (V,E)$ with vertex weights $w(v)$ and a desired number of parts $k$, the goal in graph partitioning problems is to partition the vertex set V into parts $V_1,\ldots,V_k$. Metrics for compactness, contiguity, and balance…

Data Structures and Algorithms · Computer Science 2021-02-10 Cyrus Hettle , Shixiang Zhu , Swati Gupta , Yao Xie

Using graphs to model irregular information domains is an effective approach to deal with some of the intricacies of contemporary (network) data. A key aspect is how the data, represented as graph signals, depend on the topology of the…

Signal Processing · Electrical Eng. & Systems 2023-05-02 Fernando J. Iglesias Garcia , Santiago Segarra , Antonio G. Marques

Graph spanners are sparse subgraphs which approximately preserve all pairwise shortest-path distances in an input graph. The notion of approximation can be additive, multiplicative, or both, and many variants of this problem have been…

Data Structures and Algorithms · Computer Science 2019-11-19 Manuel Fernandez , David P. Woodruff , Taisuke Yasuda

We provide the first denotational semantics for asynchronous multiparty session types with precise asynchronous subtyping. Our semantics enables us to reason about asynchronous message-passing, in which message-sending is non-blocking. It…

Programming Languages · Computer Science 2026-04-14 Dylan McDermott , Nobuko Yoshida

In the Telephone Broadcast problem we are given a graph $G=(V,E)$ with a designated source vertex $s\in V$. Our goal is to transmit a message, which is initially known only to $s$, to all vertices of the graph by using a process where in…

Data Structures and Algorithms · Computer Science 2025-04-21 Yudai Egami , Tatsuya Gima , Tesshu Hanaka , Yasuaki Kobayashi , Michael Lampis , Valia Mitsou , Edouard Nemery , Yota Otachi , Manolis Vasilakis , Daniel Vaz

Distributed graph algorithms that separately optimize for either the number of rounds used or the total number of messages sent have been studied extensively. However, algorithms simultaneously efficient with respect to both measures have…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-18 Bernhard Haeupler , D. Ellis Hershkowitz , David Wajc

Complex systems, ranging from soft materials to wireless communication, are often organised as random geometric networks in which nodes and edges evenly fill up the volume of some space. Studying such networks is difficult because they…

Probability · Mathematics 2022-07-19 Ivan Kryven , Rik Versendaal

The ability to distribute entanglement over complex quantum networks is an important step towards a quantum internet. Recently, there has been significant theoretical effort, mainly focusing on the distribution of bipartite entanglement via…

Quantum Physics · Physics 2017-05-19 Stefan Bäuml , Koji Azuma

We study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. This imperfect communication poses a fundamental…

Optimization and Control · Mathematics 2018-10-30 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

Partitioning a graph into balanced blocks such that few edges run between blocks is a key problem for large-scale distributed processing. A current trend for partitioning huge graphs are streaming algorithms, which use low computational…

Data Structures and Algorithms · Computer Science 2022-02-02 Marcelo Fonseca Faraj , Christian Schulz

We consider the broadcast relay channel (BRC), where a single source transmits to multiple destinations with the help of a relay, in the limit of a large bandwidth. We address the problem of optimal relay positioning and power allocations…

Information Theory · Computer Science 2011-01-17 Mohit Thakur , Nadia Fawaz , Muriel Médard

Time-evolving large graph has received attention due to their participation in real-world applications such as social networks and PageRank calculation. It is necessary to partition a large-scale dynamic graph in a streaming manner to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-01 Md Anwarul Kaium Patwary , Saurabh Garg , Sudheer Kumar Battula , Byeong Kang
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