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In this paper, matching pairs of random graphs under the community structure model is considered. The problem emerges naturally in various applications such as privacy, image processing and DNA sequencing. A pair of randomly generated…

Cryptography and Security · Computer Science 2018-11-01 F. Shirani , S. Garg , E. Erkip

Accurately analyzing graph properties of social networks is a challenging task because of access limitations to the graph data. To address this challenge, several algorithms to obtain unbiased estimates of properties from few samples via a…

Social and Information Networks · Computer Science 2020-07-14 Kazuki Nakajima , Kazuyuki Shudo

We consider ad-hoc networks consisting of $n$ wireless nodes that are located on the plane. Any two given nodes are called neighbors if they are located within a certain distance (communication range) from one another. A given node can be…

Networking and Internet Architecture · Computer Science 2018-11-29 Erdem Koyuncu , Hamid Jafarkhani

We consider the problem of designing an overlay network and routing mechanism that permits finding resources efficiently in a peer-to-peer system. We argue that many existing approaches to this problem can be modeled as the construction of…

Data Structures and Algorithms · Computer Science 2007-05-23 James Aspnes , Zoe Diamadi , Gauri Shah

The sampling of graph signals has recently drawn much attention due to the wide applications of graph signal processing. While a lot of efficient methods and interesting results have been reported to the sampling of band-limited or smooth…

Signal Processing · Electrical Eng. & Systems 2025-01-01 Yingcheng Lai , Li Chai , Jinming Xu

In this paper, the causal bandit problem is investigated, with the objective of maximizing the long-term reward by selecting an optimal sequence of interventions on nodes in an unknown causal graph. It is assumed that both the causal…

Machine Learning · Computer Science 2025-06-30 Chen Peng , Di Zhang , Urbashi Mitra

The gathering problem requires a set of mobile agents, arbitrarily positioned at different nodes of a network to group within finite time at the same location, not fixed in advanced. The extensive existing literature on this problem shares…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-12 Giuseppe Antonio Di Luna , Paola Flocchini , Linda Pagli , Giuseppe Prencipe , Nicola Santoro , Giovanni Viglietta

Understanding how and how far information, behaviors, or pathogens spread in social networks is an important problem, having implications for both predicting the size of epidemics, as well as for planning effective interventions. There are,…

Physics and Society · Physics 2015-05-28 Jukka-Pekka Onnela , Nicholas A. Christakis

A powerful framework for studying graphs is to consider them as geometric graphs: nodes are randomly sampled from an underlying metric space, and any pair of nodes is connected if their distance is less than a specified neighborhood radius.…

Machine Learning · Computer Science 2022-11-28 Raffaele Paolino , Aleksandar Bojchevski , Stephan Günnemann , Gitta Kutyniok , Ron Levie

Revealing the structural features of a complex system from the observed collective dynamics is a fundamental problem in network science. In order to compute the various topological descriptors commonly used to characterize the structure of…

Data Analysis, Statistics and Probability · Physics 2021-02-16 Sebastian Raimondo , Manlio De Domenico

A Peer-to-Peer (P2P) network can boost its performance if peers are provided with underlying network-layer routing topology. The task of inferring the network-layer routing topology and link performance from an end host to a set of other…

Networking and Internet Architecture · Computer Science 2014-04-01 Peng Qin , Bin Dai , Kui Wu , Benxiong Huang , Guan Xu

Motifs are the fundamental components of complex systems. The topological structure of networks representing complex systems and the frequency and distribution of motifs in these networks are intertwined. The complexities associated with…

Social and Information Networks · Computer Science 2020-05-21 Ali Jazayeri , Christopher C. Yang

Inspired by distributed resource allocation problems in dynamic topology networks, we initiate the study of distributed consensus with finite messaging passing. We first find a sufficient condition on the network graph for which no…

Information Theory · Computer Science 2010-07-01 Debashis Dash , Ashutosh Sabharwal

Seeking effective neural networks is a critical and practical field in deep learning. Besides designing the depth, type of convolution, normalization, and nonlinearities, the topological connectivity of neural networks is also important.…

Computer Vision and Pattern Recognition · Computer Science 2020-08-20 Kun Yuan , Quanquan Li , Jing Shao , Junjie Yan

Limited presence of nodal and line meters in distribution grids hinders their optimal operation and participation in real-time markets. In particular lack of real-time information on the grid topology and infrequently calibrated line…

Systems and Control · Computer Science 2018-03-13 Sejun Park , Deepjyoti Deka , Michael Chertkov

High dimensional piecewise stationary graphical models represent a versatile class for modelling time varying networks arising in diverse application areas, including biology, economics, and social sciences. There has been recent work in…

Machine Learning · Statistics 2018-06-21 Hossein Keshavarz , George Michailidis , Yves Atchade

We report on a hitherto unnoticed type of resonances occurring in scattering from networks (quantum graphs) which are due to the complex connectivity of the graph - its topology. We consider generic open graphs and show that any cycle leads…

Chaotic Dynamics · Physics 2015-06-12 Sven Gnutzmann , Holger Schanz , Uzy Smilansky

In many areas such as computational biology, finance or social sciences, knowledge of an underlying graph explaining the interactions between agents is of paramount importance but still challenging. Considering that these interactions may…

Signal Processing · Electrical Eng. & Systems 2021-04-29 Mircea Moscu , Ricardo A. Borsoi , Cédric Richard , José-Carlos M. Bermudez

Despite their apparent simplicity, random Boolean networks display a rich variety of dynamical behaviors. Much work has been focused on the properties and abundance of attractors. The topologies of random Boolean networks with one input per…

Disordered Systems and Neural Networks · Physics 2009-11-11 Björn Samuelsson , Carl Troein

In this work, Transition Probability Matrix (TPM) is proposed as a new method for extracting the features of nodes in the graph. The proposed method uses random walks to capture the connectivity structure of a node's close neighborhood. The…

Machine Learning · Computer Science 2023-03-07 Sarmad N. Mohammed , Semra Gündüç
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