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Persistent homology has been studied to better understand the structural properties and topology features of weighted networks. It can reveal hidden layers of information about the higher-order structures formed by non-pairwise interactions…

Combinatorics · Mathematics 2025-06-25 Udit Raj , Slobodan Maletić , Sudeepto Bhattacharya

We show that the problem of constructing tree-structured descriptions of data layouts that are optimal with respect to space or other criteria from given sequences of displacements, can be solved in polynomial time. The problem is relevant…

Data Structures and Algorithms · Computer Science 2015-07-01 Robert Ganian , Martin Kalany , Stefan Szeider , Jesper Larsson Träff

In this paper, we present an algorithm for the recovery of wireless networks after a disaster. Considering a damaged wireless network, presenting coverage holes or/and many disconnected components, we propose a disaster recovery algorithm…

Probability · Mathematics 2018-07-30 Anaïs Vergne , Ian Flint , Laurent Decreusefond , Philippe Martins

We present a study of the application of a variant of a recently introduced heuristic algorithm for the optimization of transport routes on complex networks to the problem of finding the optimal routes of communication between nodes on…

Physics and Society · Physics 2009-11-13 Yong Yu , Bogdan Danila , John A. Marsh , Kevin E. Bassler

We present a distributed algorithm to compute the first homology of a simplicial complex. Such algorithms are very useful in topological analysis of sensor networks, such as its coverage properties. We employ spanning trees to compute a…

Algebraic Topology · Mathematics 2013-06-06 Harish Chintakunta , Hamid Krim

We investigate optimal routing and scheduling strategies for multi-hop wireless networks with rateless codes. Rateless codes allow each node of the network to accumulate mutual information from every packet transmission. This enables a…

Optimization and Control · Mathematics 2011-10-18 Rahul Urgaonkar , Michael J. Neely

Demand-aware communication networks are networks whose topology is optimized toward the traffic they need to serve. These networks have recently been enabled by novel optical communication technologies and are investigated intensively in…

Networking and Internet Architecture · Computer Science 2024-03-07 Maxim Buzdalov , Pavel Martynov , Sergey Pankratov , Vitaly Aksenov , Stefan Schmid

Cooperation between the nodes of wireless multihop networks can increase communication reliability, reduce energy consumption, and decrease latency. The possible improvements are even greater when nodes perform mutual information…

Information Theory · Computer Science 2009-08-27 Stark C. Draper , Lingjia Liu , Andreas F. Molisch , Jonathan S. Yedidia

We show how to construct an overlay network of constant degree and diameter $O(\log n)$ in time $O(\log n)$ starting from an arbitrary weakly connected graph. We assume a synchronous communication network in which nodes can send messages to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-28 Thorsten Götte , Kristian Hinnenthal , Christian Scheideler , Julian Werthmann

A wireless communication network is considered where any two nodes are connected if the signal-to-interference ratio (SIR) between them is greater than a threshold. We consider the the path-loss plus fading model of wireless signal…

Information Theory · Computer Science 2012-05-23 Rahul Vaze

We study core-periphery structure in networks using inference methods based on a flexible network model that allows for traditional onion-like cores within cores, but also for hierarchical tree-like structures and more general non-nested…

Social and Information Networks · Computer Science 2023-08-25 Austin Polanco , M. E. J. Newman

Real-time applications require latencies on the order of a millisecond with very high reliabilities, paralleling the requirements for high-performance industrial control. Current wireless technologies like WiFi, Bluetooth, LTE, etc. are…

Information Theory · Computer Science 2018-03-15 Vasuki Narasimha Swamy , Paul Rigge , Gireeja Ranade , Anant Sahai , Borivoje Nikolic

Routing tables in ad hoc and wireless routing protocols can be represented using rooted trees. The constant need for communication and storage of these trees in routing protocols demands an efficient rooted tree coding algorithm. This…

Networking and Internet Architecture · Computer Science 2022-07-13 Amirmohammad Farzaneh , Mihai-Alin Badiu , Justin P. Coon

The statistical mechanical approach to complex networks is the dominant paradigm in describing natural and societal complex systems. The study of network properties, and their implications on dynamical processes, mostly focus on locally…

Statistical Mechanics · Physics 2013-06-27 Giovanni Petri , Martina Scolamiero , Irene Donato , Francesco Vaccarino

Nodes in contemporary radio networks often have multiple interfaces available for communication: WiFi, cellular, LoRa, Zigbee, etc. This motivates understanding both link and network configuration when multiple communication modalities with…

Signal Processing · Electrical Eng. & Systems 2025-01-10 Amna Gillani , Beatriz Lorenzo , Majid Ghaderi , Fikadu Dagefu , Dennis Goeckel

There is a rich recent literature on how to assist secure communication between a single transmitter and receiver at the physical layer of wireless networks through techniques such as cooperative jamming. In this paper, we consider how…

Networking and Internet Architecture · Computer Science 2013-04-10 Majid Ghaderi , Dennis Goeckel , Ariel Orda , Mostafa Dehghan

Cooperative communications have emerged as a significant concept to improve reliability and throughput in wireless systems. On the other hand, WLANs based on random access mechanism have become popular due to ease of deployment and low…

Information Theory · Computer Science 2009-01-23 Georg Böcherer , Alexandre de Baynast

In this paper, we address the problem of broadcasting in a wireless network under a novel communication model: the {\em swamping} communication model. In this model, nodes communicate only with those nodes at geometric distance greater than…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-10 Evangelos Kranakis , Michel Paquette

A weakness of next-hop routing is that following a link or router failure there may be no routes between some source-destination pairs, or packets may get stuck in a routing loop as the protocol operates to establish new routes. In this…

Data Structures and Algorithms · Computer Science 2014-11-12 Glencora Borradaile , W. Sean Kennedy , Gordon Wilfong , Lisa Zhang

In single channel wireless networks, concurrent transmission at different links may interfere with each other. To improve system throughput, a scheduling algorithm is necessary to choose a subset of links at each time slot for data…

Combinatorics · Mathematics 2012-10-30 Ali Ghiasian , Behnaz Omoomi , Hossein Saidi