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We consider the problem of selecting a minimum size subset of nodes in a network, that allows to activate all the nodes of the network. We present a fast and simple algorithm that, in real-life networks, produces solutions that outperform…

Data Structures and Algorithms · Computer Science 2016-10-18 Gennaro Cordasco , Luisa Gargano , Adele Anna Rescigno

Small world models are networks consisting of many local links and fewer long range 'shortcuts', used to model networks with a high degree of local clustering but relatively small diameter. Here, we concern ourselves with the distribution…

Condensed Matter · Physics 2007-05-23 A. D. Barbour , G. Reinert

Creating new ties in a social network facilitates knowledge exchange and affects positional advantage. In this paper, we study the process, which we call network building, of establishing ties between two existing social networks in order…

Social and Information Networks · Computer Science 2016-05-13 Anastasia Moskvina , Jiamou Liu

Self-avoiding random walks were performed on protein residue networks. Compared with protein residue networks with randomized links, the probability of a walk being successful is lower and the length of successful walks shorter in…

Molecular Networks · Quantitative Biology 2013-06-11 Susan Khor

Complex networks are ubiquitous in nature and play a role of paramount importance in many contexts. Internet and the cyberworld, which permeate our everyday life, are self-organized hierarchical graphs. Urban traffic flows on intricate road…

Physics and Society · Physics 2014-08-08 Francesca Di Patti , Duccio Fanelli , Francesco Piazza

Small world models are networks consisting of many local links and fewer long range `shortcuts'. In this paper, we consider some particular instances, and rigorously investigate the distribution of their inter--point network distances. Our…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. D. Barbour , Gesine Reinert

The discovery of community structure in networks is a problem of considerable interest in recent years. In online social networks, often times, users are simultaneously involved in multiple social media sites, some of which share common…

Social and Information Networks · Computer Science 2016-08-05 Lin Li , W. M. Campbell

We numerically investigate the scale-free network model of Barab{\'a}si and Albert [A. L. Barab{\'a}si and R. Albert, Science {\bf 286}, 509 (1999)] through the use of various path finding strategies. In real networks, global network…

Disordered Systems and Neural Networks · Physics 2007-05-23 Beom Jun Kim , Chang No Yoon , Seung Kee Han , Hawoong Jeong

Attention to informal communication networks within public organizations has grown in recent decades. While research has documented the role of individual cognition and social structure in understanding information search in organizations,…

Social and Information Networks · Computer Science 2021-02-09 Travis A. Whetsell , Alexander Kroll , Leisha DeHart-Davis

We consider navigation or search schemes on networks which are realistic in the sense that not all search chains can be completed. We show that the quantity $\mu = \rho/s_d$, where $s_d$ is the average dynamic shortest distance and $\rho$…

Physics and Society · Physics 2009-11-13 Parongama Sen

Various hypotheses exist about the paths used for communication between the nodes of complex networks. Most studies simply suppose that communication goes via shortest paths, while others have more explicit assumptions about how routing…

The advancement of mobile technologies and the proliferation of map-based applications have enabled a user to access a wide variety of services that range from information queries to navigation systems. Due to the popularity of map-based…

Databases · Computer Science 2020-04-24 Hossain Mahmud , Ashfaq Mahmood Amin , Mohammed Eunus Ali , Tanzima Hashem

Previous work on undirected small-world networks established the paradigm that locally structured networks tend to have high density of short loops. On the other hand, many realistic networks are directed. Here we investigate the local…

Physics and Society · Physics 2008-04-05 Ginestra Bianconi , Natali Gulbahce , Adilson E. Motter

Multi-layered social networks consist of the fixed set of nodes linked by multiple connections. These connections may be derived from different types of user activities logged in the IT system. To calculate any structural measures for…

Social and Information Networks · Computer Science 2012-10-19 Piotr Bródka , Paweł Stawiak , Przemysław Kazienko

Our recent paper [Grauwin et al. Sci. Rep. 7 (2017)] demonstrates that community and hierarchical structure of the networks of human interactions largely determines the least and should be taken into account while modeling them. In the…

Social and Information Networks · Computer Science 2017-12-18 Stanislav Sobolevsky

The "small world phenomenon," popularized by Stanley Milgram, suggests that individuals from across a social network are connected via a short path of mutual friends and can leverage their local social information to efficiently traverse…

Social and Information Networks · Computer Science 2019-03-12 Ziv Epstein , Micah Epstein , Christian Almenar , Matt Groh , Niccolo Pescetelli , Esteban Moro , Nick Obradovich , Manuel Cebrian , Iyad Rahwan

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

The focused organization theory of social ties proposes that the structure of human social networks can be arranged around extra-network foci, which can include shared physical spaces such as homes, workplaces, restaurants, and so on. Until…

Social and Information Networks · Computer Science 2016-11-18 Chloë Brown , Anastasios Noulas , Cecilia Mascolo , Vincent Blondel

We suggest a method for routing when the source does not posses full information about the shortest path to the destination. The method is particularly useful for scale-free networks, and exploits its unique characteristics. By assigning…

Networking and Internet Architecture · Computer Science 2007-05-23 Shai Carmi , Reuven Cohen , Danny Dolev

Large-scale human social network structure is typically inferred from digital trace samples of online social media platforms or mobile communication data. Instead, here we investigate the social network structure of a complete population,…

Physics and Society · Physics 2022-11-29 Eszter Bokányi , Eelke M. Heemskerk , Frank W. Takes