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The structure of a social network contains information useful for predicting its evolution. Nodes that are "close" in some sense are more likely to become linked in the future than more distant nodes. We show that structural information can…

Social and Information Networks · Computer Science 2011-12-14 Kristina Lerman , Suradej Intagorn , Jeon-Hyung Kang , Rumi Ghosh

A statistician designing an experiment wants to get as much information as possible from the data gathered. Often this means the most precise estimate possible (that is, an estimate with minimum possible variance) of the unknown parameters.…

Statistics Theory · Mathematics 2011-11-17 R. A. Bailey , Peter J. Cameron

Link prediction, a fundamental task on graphs, has proven indispensable in various applications, e.g., friend recommendation, protein analysis, and drug interaction prediction. However, since datasets span a multitude of domains, they could…

Social and Information Networks · Computer Science 2024-11-11 Haitao Mao , Juanhui Li , Harry Shomer , Bingheng Li , Wenqi Fan , Yao Ma , Tong Zhao , Neil Shah , Jiliang Tang

Link prediction in complex networks has attracted increasing attention from both physical and computer science communities. The algorithms can be used to extract missing information, identify spurious interactions, evaluate network evolving…

Physics and Society · Physics 2015-05-20 Linyuan Lu , Tao Zhou

Link prediction is an elemental challenge in network science, which has already found applications in guiding laboratorial experiments, digging out drug targets, recommending friends in social networks, probing mechanisms in network…

Physics and Society · Physics 2019-06-26 Ratha Pech , Dong Hao , Yan-Li Lee , Ye Yuan , Tao Zhou

In this paper we introduce a new network reachability problem where the goal is to find the most reliable path between two nodes in a network, represented as a directed acyclic graph. Individual edges within this network may fail according…

Data Structures and Algorithms · Computer Science 2012-06-26 Allen Chang , Eyal Amir

In this paper, we use a partition of the links of a network in order to uncover its community structure. This approach allows for communities to overlap at nodes, so that nodes may be in more than one community. We do this by making a node…

Physics and Society · Physics 2009-07-24 T. S. Evans , R. Lambiotte

In this work we consider the problem of maximizing the PageRank of a given target node in a graph by adding $k$ new links. We consider the case that the new links must point to the given target node (backlinks). Previous work shows that…

Data Structures and Algorithms · Computer Science 2015-03-20 Martin Olsen , Anastasios Viglas , Ilia Zvedeniouk

In this paper, we study the problem of constructing a network by observing ordered connectivity constraints, which we define herein. These ordered constraints are made to capture realistic properties of real-world problems that are not…

Data Structures and Algorithms · Computer Science 2017-02-24 Yi Huang , Mano Vikash Janardhanan , Lev Reyzin

Here we introduce a model in which individuals differ in the rate at which they seek new interactions with others, making rational decisions modeled as general symmetric two-player games. Once a link between two individuals has formed, the…

Populations and Evolution · Quantitative Biology 2007-05-23 Jorge M. Pacheco , Arne Traulsen , Martin A. Nowak

Different network structures are compiared with respect to degree of robustnes of identification statistical procedures. It is shown that threshold (market) graph, cliques and independent sets in the threshold (market) graphs are preferable…

Statistics Theory · Mathematics 2018-01-31 L. P. Semenov , V. A. Kalyagin , P. A. Koldanov , M. V. Batsyn , S. V. Golovanova , M. A. Voronina

We consider asynchronous message-passing systems in which some links are timely and processes may crash. Each run defines a timeliness graph among correct processes: (p; q) is an edge of the timeliness graph if the link from p to q is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-18 Carole Delporte-Gallet , Stéphane Devismes , Hugues Fauconnier , Mikel Larrea

Link prediction (LP) is an important problem in network science and machine learning research. The state-of-the-art LP methods are usually evaluated in a uniform setup, ignoring several factors associated with the data and application…

Social and Information Networks · Computer Science 2025-07-21 Bhargavi Kalyani , A Rama Prasad Mathi , Niladri Sett

We study dynamic network formation from a centralized perspective. In each period, the social planner builds a single link to connect previously unlinked pairs. The social planner is forward-looking, with instantaneous utility monotonic in…

Theoretical Economics · Economics 2025-11-26 Yang Sun , Wei Zhao , Junjie Zhou

The quest for optimal/stable paths in graphs has gained attention in a few practical or theoretical areas. To take part in this quest this chapter adopts an equilibrium-oriented approach that is abstract and general: it works with…

Computer Science and Game Theory · Computer Science 2007-12-11 Stéphane Le Roux

Searching for optimal ways in a network is an important task in multiple application areas such as social networks, co-citation graphs or road networks. In the majority of applications, each edge in a network is associated with a certain…

Social and Information Networks · Computer Science 2011-05-06 Franz Graf , Hans-Peter Kriegel , Matthias Schubert

A problem that arises in drawings of transportation networks is to minimize the number of crossings between different transportation lines. While this can be done efficiently under specific constraints, not all solutions are visually…

Data Structures and Algorithms · Computer Science 2013-06-25 Martin Fink , Sergey Pupyrev

Predicting missing links in complex networks requires algorithms that are able to explore statistical regularities in the existing data. Here we investigate the interplay between algorithm efficiency and network structures through the…

Social and Information Networks · Computer Science 2025-02-14 Alexey Vlaskin , Eduardo G. Altmann

In this paper, subgraphs and complementary graphs are used to analyze the network synchronizability. Some sharp and attainable bounds are provided for the eigenratio of the network structural matrix, which characterizes the network…

Networking and Internet Architecture · Computer Science 2009-11-13 Zhisheng Duan , Chao Liu , Guanrong Chen

An accessibility graph of a network contains a link, wherever there is a path of arbitrary length between two nodes. We generalize the concept of accessibility to temporal networks. Building an accessibility graph by consecutively adding…

Physics and Society · Physics 2012-10-09 Hartmut H K Lentz , Thomas Selhorst , Igor M Sokolov