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We study the NP-hard problem of approximating a Minimum Routing Cost Spanning Tree in the message passing model with limited bandwidth (CONGEST model). In this problem one tries to find a spanning tree of a graph $G$ over $n$ nodes that…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-06 Alexandra Hochuli , Stephan Holzer , Roger Wattenhofer

Internet traffic continues to grow relentlessly, driven largely by increasingly high resolution video content. Although studies have shown that the majority of packets processed by Internet routers are pass-through traffic, they nonetheless…

Networking and Internet Architecture · Computer Science 2019-05-23 Ping Yin , Steven Diamond , Bill Lin , Stephen Boyd

We study the problem of minimizing a sum of convex objective functions where the components of the objective are available at different nodes of a network and nodes are allowed to only communicate with their neighbors. The use of…

Optimization and Control · Mathematics 2015-04-24 Aryan Mokhtari , Qing Ling , Alejandro Ribeiro

We focus on the well-studied problem of distributed overlay network construction. We consider a synchronous gossip-based communication model where in each round a node can send a message of small size to another node whose identifier it…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-30 Fabien Dufoulon , Michael Moorman , William K. Moses , Gopal Pandurangan

Graphs are fundamental objects that find widespread applications across computer science and beyond. Graph Theory has yielded deep insights about structural properties of various families of graphs, which are leveraged in the design and…

Data Structures and Algorithms · Computer Science 2023-08-30 Rachit Nimavat

We study the problem of computing a minimum equivalent digraph (also known as the problem of computing a strong transitive reduction) and its maximum objective function variant, with two types of extensions. First, we allow to declare a set…

Computational Complexity · Computer Science 2008-09-02 Piotr Berman , Bhaskar DasGupta , Marek Karpinski

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

In the semi-streaming model, an algorithm must process any $n$-vertex graph by making one or few passes over a stream of its edges, use $O(n \cdot \text{polylog }n)$ words of space, and at the end of the last pass, output a solution to the…

Data Structures and Algorithms · Computer Science 2025-10-23 Sepehr Assadi , Gary Hoppenworth , Janani Sundaresan

We introduce stronger notions for approximate single-source shortest-path distances, show how to efficiently compute them from weaker standard notions, and demonstrate the algorithmic power of these new notions and transformations. One…

Data Structures and Algorithms · Computer Science 2022-11-01 Václav Rozhoň , Bernhard Haeupler , Anders Martinsson , Christoph Grunau , Goran Zuzic

The problem of security against timing based traffic analysis in wireless networks is considered in this work. An analytical measure of anonymity in eavesdropped networks is proposed using the information theoretic concept of equivocation.…

Information Theory · Computer Science 2007-10-26 Parvathinathan Venkitasubramaniam , Ting He , Lang Tong

We introduce a communication model for hybrid networks, where nodes have access to two different communication modes: a local mode where communication is only possible between specific pairs of nodes, and a global mode where communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-05 John Augustine , Kristian Hinnenthal , Fabian Kuhn , Christian Scheideler , Philipp Schneider

We study the problem of maximizing the number of spanning trees in a connected graph by adding at most $k$ edges from a given candidate edge set. We give both algorithmic and hardness results for this problem: - We give a greedy algorithm…

Data Structures and Algorithms · Computer Science 2018-07-17 Huan Li , Stacy Patterson , Yuhao Yi , Zhongzhi Zhang

A fundamental task in wireless communication is channel estimation: Compute the channel parameters a signal undergoes while traveling from a transmitter to a receiver. In the case of delay-Doppler channel, i.e., a signal undergoes only…

Information Theory · Computer Science 2013-09-25 Alexander Fish , Shamgar Gurevich

An efficient method for computing solutions to the Optimal Transportation (OT) problem with a wide class of cost functions is presented. The standard linear programming (LP) discretization of the continuous problem becomes intractible for…

Numerical Analysis · Mathematics 2015-09-15 Adam M. Oberman , Yuanlong Ruan

We present a new heuristic point-to-point routing algorithm based on contraction hierarchies (CH). Given an epsilon >= 0, we can prove that the length of the path computed by our algorithm is at most (1+epsilon) times the length of the…

Data Structures and Algorithms · Computer Science 2010-02-05 Robert Geisberger

We focus on a particular form of network coding, reverse carpooling, in a wireless network where the potentially coded transmitted messages are to be decoded immediately upon reception. The network is fixed and known, and the system…

Networking and Internet Architecture · Computer Science 2010-01-20 Ali ParandehGheibi , Asuman Ozdaglar , Michelle Effros , Muriel Medard

The performance of distributed applications often critically depends on the interconnecting network or more specifically on its throughput: how fast data can be carried across a network. Over the last years, great progress has been made in…

Networking and Internet Architecture · Computer Science 2026-05-07 Matthias Bentert , Chen Avin , Stefan Schmid

We study the Minimum Crossing Number problem: given an $n$-vertex graph $G$, the goal is to find a drawing of $G$ in the plane with minimum number of edge crossings. This is one of the central problems in topological graph theory, that has…

Data Structures and Algorithms · Computer Science 2010-12-02 Julia Chuzhoy

Several high-throughput distributed data-processing applications require multi-hop processing of streams of data. These applications include continual processing on data streams originating from a network of sensors, composing a multimedia…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-03-26 Shah Asaduzzaman , Muthucumaru Maheswaran

Index codes reduce the number of bits broadcast by a wireless transmitter to a number of receivers with different demands and with side information. It is known that the problem of finding optimal linear index codes is NP-hard. We…

Information Theory · Computer Science 2015-04-28 Xiao Huang , Salim El Rouayheb
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