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The formation trajectory planning using complete graphs to model collaborative constraints becomes computationally intractable as the number of drones increases due to the curse of dimensionality. To tackle this issue, this paper presents a…

Robotics · Computer Science 2024-03-27 Yuan Zhou , Lun Quan , Chao Xu , Guangtong Xu , Fei Gao

We consider the problem of designing network cost-sharing protocols with good equilibria under uncertainty. The underlying game is a multicast game in a rooted undirected graph with nonnegative edge costs. A set of k terminal vertices or…

Computer Science and Game Theory · Computer Science 2015-07-27 George Christodoulou , Alkmini Sgouritsa

We consider the problem of distilling efficient network topologies for collective communications. We provide an algorithmic framework for constructing direct-connect topologies optimized for the latency vs. bandwidth trade-off associated…

Networking and Internet Architecture · Computer Science 2025-02-04 Liangyu Zhao , Siddharth Pal , Tapan Chugh , Weiyang Wang , Jason Fantl , Prithwish Basu , Joud Khoury , Arvind Krishnamurthy

Complex systems are usually illustrated by networks which captures the topology of the interactions between the entities. To better understand the roles played by the entities in the system one needs to uncover the underlying community…

Social and Information Networks · Computer Science 2016-05-23 Han Zhang , Chang-Dong Wang , Jian-Huang Lai , Philip S. Yu

Based on the theory of the Federal Communications Commission, the spectrum available on cognitive radio networks is limit and the non-optimal use of the spectrum necessitates the need for a telecommunications model, so that this pattern can…

Signal Processing · Electrical Eng. & Systems 2018-07-19 Mahdi Mir

We propose an optimization approach to design cost-effective electrical power transmission networks. That is, we aim to select both the network structure and the line conductances (line sizes) so as to optimize the trade-off between network…

Optimization and Control · Mathematics 2016-11-15 Jason K. Johnson , Michael Chertkov

We consider both leaderless and leader-follower, possibly nonlinear, networks affected by time-varying communication delays. For such systems, we give a set of sufficient conditions that guarantee the convergence of the network towards some…

Systems and Control · Electrical Eng. & Systems 2024-02-12 Shihao Xie , Giovanni Russo

Complex real-world phenomena are often modeled as dynamical systems on networks. In many cases of interest, the spectrum of the underlying graph Laplacian sets the system stability and ultimately shapes the matter or information flow. This…

Statistical Mechanics · Physics 2020-05-13 Sara Nicoletti , Timoteo Carletti , Duccio Fanelli , Giorgio Battistelli , Luigi Chisci

We study navigation with limited information in networks and demonstrate that many real-world networks have a structure which can be described as favoring communication at short distance at the cost of constraining communication at long…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. Rosvall , P. Minnhagen , K. Sneppen

Traditionally, networks such as datacenter interconnects are designed to optimize worst-case performance under arbitrary traffic patterns. Such network designs can however be far from optimal when considering the actual workloads and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-18 Chen Avin , Kaushik Mondal , Stefan Schmid

Expander graphs are widely used in communication problems and construction of error correcting codes. In such graphs, information gets through very quickly. Typically, it is not true for social or biological networks, though we may find a…

Combinatorics · Mathematics 2011-03-04 Marianna Bolla

It is basic question in biology and other fields to identify the char- acteristic properties that on one hand are shared by structures from a particular realm, like gene regulation, protein-protein interaction or neu- ral networks or…

Quantitative Methods · Quantitative Biology 2012-10-19 Anirban Banerjee , Jürgen Jost

Graph signals offer a very generic and natural representation for data that lives on networks or irregular structures. The actual data structure is however often unknown a priori but can sometimes be estimated from the knowledge of the…

Machine Learning · Computer Science 2017-07-19 Hermina Petric Maretic , Dorina Thanou , Pascal Frossard

Many real-world networks are so large that we must simplify their structure before we can extract useful information about the systems they represent. As the tools for doing these simplifications proliferate within the network literature,…

Physics and Society · Physics 2015-05-13 M. Rosvall , D. Axelsson , C. T. Bergstrom

Compositionality is a key strategy for addressing combinatorial complexity and the curse of dimensionality. Recent work has shown that compositional solutions can be learned and offer substantial gains across a variety of domains, including…

Machine Learning · Computer Science 2019-04-30 Clemens Rosenbaum , Ignacio Cases , Matthew Riemer , Tim Klinger

ulticasting is an important communication paradigm for enabling the dissemination of information selectively. This paper considers the problem of optimal secure multicasting in a communication network captured through a graph (optimal is in…

Networking and Internet Architecture · Computer Science 2011-11-29 G. Rama Murthy

Graphs are naturally used to describe the structures of various real-world systems in biology, society, computer science etc., where subgraphs or motifs as basic blocks play an important role in function expression and information…

Social and Information Networks · Computer Science 2021-02-11 Jinhuan Wang , Pengtao Chen , Bin Ma , Jiajun Zhou , Zhongyuan Ruan , Guanrong Chen , Qi Xuan

The non-trivial structure of such complex systems makes the analysis of their collective behavior a challenge. The problem is even more difficult when the information is distributed across networks (e.g., communication networks in different…

Social and Information Networks · Computer Science 2018-02-08 Carlo Spatocco , Giovanni Stilo , Carlotta Domeniconi , Alessandro D'Andrea

Collective systems that self-organise to maximise the group's ability to collect and distribute information can be successful in environments with high spatial and temporal variation. Such organisations are abundant in nature, as sharing…

Populations and Evolution · Quantitative Biology 2025-10-28 R. S. Walker , G. Ramos-Fernandez , D. Boyer , S. E. Smith-Aguilar , X. O'Neill , M. J. Silk

Precisely how humans process relational patterns of information in knowledge, language, music, and society is not well understood. Prior work in the field of statistical learning has demonstrated that humans process such information by…