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Mapping the Internet generally consists in sampling the network from a limited set of sources by using traceroute-like probes. This methodology, akin to the merging of different spanning trees to a set of destination, has been argued to…

Networking and Internet Architecture · Computer Science 2011-11-09 Luca Dall'Asta , Ignacio Alvarez-Hamelin , Alain Barrat , Alexei Vazquez , Alessandro Vespignani

The $\beta$-model has been extensively utilized to model degree heterogeneity in networks, wherein each node is assigned a unique parameter. In this article, we consider the hypothesis testing problem that two nodes $i$ and $j$ of a…

Statistics Theory · Mathematics 2024-03-12 Kang Fu , Jianwei Hu , Meng Sun

We introduce a new graph-theoretic concept in the area of network monitoring. In this area, one wishes to monitor the vertices and/or the edges of a network (viewed as a graph) in order to detect and prevent failures. Inspired by two…

We study the problem of detecting the presence of an underlying high-dimensional geometric structure in a random graph. Under the null hypothesis, the observed graph is a realization of an Erd\H{o}s-R\'enyi random graph $G(n,p)$. Under the…

Statistics Theory · Mathematics 2015-11-24 Sébastien Bubeck , Jian Ding , Ronen Eldan , Miklós Rácz

A {\em net} is a graph consisting of a triangle $C$ and three more vertices, each of degree one and with its neighbour in $C$, and all adjacent to different vertices of $C$. We give a polynomial-time algorithm to test whether an input graph…

Discrete Mathematics · Computer Science 2020-12-01 Maria Chudnovsky , Paul Seymour , Nicolas Trotignon

In this paper we consider the problem of monitoring detecting separation of agents from a base station in robotic and sensor networks. Such separation can be caused by mobility and/or failure of the agents. While separation/cut detection…

Robotics · Computer Science 2011-02-17 Chenda Liao , Harshavardhan Chenji , Prabir Barooah , Radu Stoleru , Tamás Kalmár-Nagy

We consider the multiple hypothesis testing (MHT) problem over the joint domain formed by a graph and a measure space. On each sample point of this joint domain, we assign a hypothesis test and a corresponding $p$-value. The goal is to make…

Signal Processing · Electrical Eng. & Systems 2025-06-05 Xingchao Jian , Martin Gölz , Feng Ji , Wee Peng Tay , Abdelhak M. Zoubir

Botnets are among the most persistent cyber threats, enabling large-scale attacks such as spam, credential theft, and distributed denial-of-service (DDoS). While deep learning approaches have recently been applied to botnet detection, they…

Cryptography and Security · Computer Science 2026-05-25 Subhash Gurappa , Yashas Hariprasad , Sundararaj Sitharama Iyengar , Naveen Kumar Chaudhary

In the past decade, network structures have penetrated nearly every aspect of our lives. The detection of anomalous vertices in these networks has become increasingly important, such as in exposing computer network intruders or identifying…

Social and Information Networks · Computer Science 2017-06-07 Dima Kagan , Yuval Elovici , Michael Fire

We present five methods to the problem of network anomaly detection. These methods cover most of the common techniques in the anomaly detection field, including Statistical Hypothesis Tests (SHT), Support Vector Machines (SVM) and…

Machine Learning · Statistics 2013-09-20 Jing Wang , Daniel Rossell , Christos G. Cassandras , Ioannis Ch. Paschalidis

We consider a multiple hypothesis testing problem in a sensor network over the joint spatio-temporal domain. The sensor network is modeled as a graph, with each vertex representing a sensor and a signal over time associated with each…

Signal Processing · Electrical Eng. & Systems 2025-01-23 Xingchao Jian , Martin Gölz , Feng Ji , Wee Peng Tay , Abdelhak M. Zoubir

Complex networks can be understood as graphs whose connectivity deviates from those of regular or near-regular graphs, which are understood as being `simple'. While a great deal of the attention so far dedicated to complex networks has been…

Data Analysis, Statistics and Probability · Physics 2008-08-29 Luciano da Fontoura Costa , Francisco A. Rodrigues

We consider the classic problem of Network Reliability. A network is given together with a source vertex, one or more target vertices, and probabilities assigned to each of the edges. Each edge appears in the network with its associated…

Combinatorics · Mathematics 2019-03-20 Amir Kafshdar Goharshady , Fatemeh Mohammadi

Given a pair of graphs with the same number of vertices, the inexact graph matching problem consists in finding a correspondence between the vertices of these graphs that minimizes the total number of induced edge disagreements. We study…

Machine Learning · Statistics 2020-07-06 Jesús Arroyo , Daniel L. Sussman , Carey E. Priebe , Vince Lyzinski

With the impressive growth of network models in practically every scientific and technological area, we are often faced with the need to compare graphs, i.e., to quantify their (dis)similarity using appropriate metrics. This is necessary,…

Social and Information Networks · Computer Science 2025-07-03 Carlo Piccardi

Network-topology inference from (vertex) signal observations is a prominent problem across data-science and engineering disciplines. Most existing schemes assume that observations from all nodes are available, but in many practical…

Methodology · Statistics 2021-11-11 Andrei Buciulea , Samuel Rey , Antonio G. Marques

Detectability describes the property of a system to uniquely determine, after a finite number of observations, the current and subsequent states. In this paper, to reduce the complexity of checking the detectability properties in the…

Systems and Control · Electrical Eng. & Systems 2019-08-27 Hao Lan , Yin Tong , Jin Guo , Carla Seatzu

The goal of this note is to assess whether simple machine learning algorithms can be used to determine whether and how a given network has been attacked. The procedure is based on the $k$-Nearest Neighbor and the Random Forest…

Physics and Society · Physics 2023-08-30 Davide Coppes , Paolo Cermelli

This paper continues the study of local detectability and observability requirements on components of distributed observers networks to ensure detectability properties of the network. First, we present a sketch of an elementary proof of the…

Systems and Control · Computer Science 2014-09-09 V. Ugrinovskii

Consider a setting where possibly sensitive information sent over a path in a network is visible to every {neighbor} of the path, i.e., every neighbor of some node on the path, thus including the nodes on the path itself. The exposure of a…

Data Structures and Algorithms · Computer Science 2012-12-27 Shiri Chechik , M. P. Johnson , Merav Parter , David Peleg
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