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Many complex systems can be represented as networks, and how a network breaks up into subnetworks or communities is of wide interest. However, the development of a method to detect nodes important to communities that is both fast and…

Physics and Society · Physics 2015-05-27 Yang Wang , Zengru Di , Ying Fan

A community within a network is a group of vertices densely connected to each other but less connected to the vertices outside. The problem of detecting communities in large networks plays a key role in a wide range of research areas, e.g.…

Social and Information Networks · Computer Science 2013-03-08 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Alessandro Provetti

This paper considers a network of stochastic evidence accumulators, each represented by a drift-diffusion model accruing evidence towards a decision in continuous time by observing a noisy signal and by exchanging information with other…

Systems and Control · Computer Science 2012-10-17 Ioannis Poulakakis , Luca Scardovi , Naomi Ehrich Leonard

When dealing with large graphs, such as those that arise in the context of online social networks, a subset of nodes may be labeled. These labels can indicate demographic values, interest, beliefs or other characteristics of the nodes…

Social and Information Networks · Computer Science 2015-05-27 Smriti Bhagat , Graham Cormode , S. Muthukrishnan

Identifying the source of epidemic-like spread in networks is crucial for removing internet viruses or finding the source of rumors in online social networks. The challenge lies in tracing the source from a snapshot observation of infected…

Social and Information Networks · Computer Science 2024-10-10 Pei-Duo Yu , Chee Wei Tan

Due to the advent of the expressions of data other than tabular formats, the topological compositions which make samples interrelated came into prominence. Analogically, those networks can be interpreted as social connections, dataflow…

Social and Information Networks · Computer Science 2023-01-27 Hacı İsmail Aslan , Chang Choi , Hoon Ko

A great variety of systems in nature, society and technology -- from the web of sexual contacts to the Internet, from the nervous system to power grids -- can be modeled as graphs of vertices coupled by edges. The network structure,…

Adaptation and Self-Organizing Systems · Physics 2012-10-10 Petter Holme , Jari Saramäki

In this paper, we propose a method that extends the persistence-based topological data analysis (TDA) that is typically used for characterizing shapes to general networks. We introduce the concept of the community tree, a tree structure…

Social and Information Networks · Computer Science 2022-04-08 Wei Guo , Ruqian Chen , Yen-Chi Chen , Ashis G. Banerjee

An important aspect of preventing fake news dissemination is to proactively detect the likelihood of its spreading. Research in the domain of fake news spreader detection has not been explored much from a network analysis perspective. In…

Social and Information Networks · Computer Science 2020-11-24 Bhavtosh Rath , Aadesh Salecha , Jaideep Srivastava

We consider a gossiping network, where a source node sends updates to a network of $n$ gossiping nodes. Meanwhile, the connectivity topology of the gossiping network changes over time, among a finite number of connectivity ''states,'' such…

Information Theory · Computer Science 2024-11-07 Arunabh Srivastava , Thomas Jacob Maranzatto , Sennur Ulukus

Many real-world systems can be expressed in temporal networks with nodes playing far different roles in structure and function and edges representing the relationships between nodes. Identifying critical nodes can help us control the spread…

Social and Information Networks · Computer Science 2021-07-07 En-Yu Yu , Yan Fu , Jun-Lin Zhou , Hong-Liang Sun , Duan-Bing Chen

The random graph of Erdos and Renyi is one of the oldest and best studied models of a network, and possesses the considerable advantage of being exactly solvable for many of its average properties. However, as a model of real-world networks…

Statistical Mechanics · Physics 2007-05-23 M. E. J. Newman

Community detection is considered as a fundamental task in analyzing social networks. Even though many techniques have been proposed for community detection, most of them are based exclusively on the connectivity structures. However, there…

Social and Information Networks · Computer Science 2019-12-25 Hadi Zare , Mahdi Hajiabadi , Mahdi Jalili

Networks are important representations in computer science to communicate structural aspects of a given system of interacting components. The evolution of a network has several topological properties that can provide us information on the…

Social and Information Networks · Computer Science 2020-04-30 Joao Pita Costa , Tihana Galinac Grbac

Real networks exhibit heterogeneous nature with nodes playing far different roles in structure and function. To identify vital nodes is thus very significant, allowing us to control the outbreak of epidemics, to conduct advertisements for…

Physics and Society · Physics 2016-09-21 Linyuan Lü , Duanbing Chen , Xiao-Long Ren , Qian-Ming Zhang , Yi-Cheng Zhang , Tao Zhou

When an epidemic spreads into a population, it is often unpractical or impossible to have a continuous monitoring of all subjects involved. As an alternative, algorithmic solutions can be used to infer the state of the whole population from…

Populations and Evolution · Quantitative Biology 2021-05-12 Abhishek Tomy , Matteo Razzanelli , Francesco Di Lauro , Daniela Rus , Cosimo Della Santina

Over the past decade, mobile phones have become prevalent in all parts of the world, across all demographic backgrounds. Mobile phones are used by men and women across a wide age range in both developed and developing countries.…

Social and Information Networks · Computer Science 2018-08-03 Jorge Brea , Javier Burroni , Carlos Sarraute

Locating the source of an epidemic, or patient zero (P0), can provide critical insights into the infection's transmission course and allow efficient resource allocation. Existing methods use graph-theoretic centrality measures and expensive…

Social and Information Networks · Computer Science 2020-06-30 Chintan Shah , Nima Dehmamy , Nicola Perra , Matteo Chinazzi , Albert-László Barabási , Alessandro Vespignani , Rose Yu

We introduce a new matrix function for studying graphs and real-world networks based on a double-factorial penalization of walks between nodes in a graph. This new matrix function is based on the matrix error function. We find a very good…

Combinatorics · Mathematics 2016-12-16 Ernesto Estrada , Grant Silver

We use the concept of the network communicability (Phys. Rev. E 77 (2008) 036111) to define communities in a complex network. The communities are defined as the cliques of a communicability graph, which has the same set of nodes as the…

Physics and Society · Physics 2009-07-17 Ernesto Estrada , Naomichi Hatano