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Modeling generative process of growing graphs has wide applications in social networks and recommendation systems, where cold start problem leads to new nodes isolated from existing graph. Despite the emerging literature in learning graph…

机器学习 · 计算机科学 2019-06-03 Da Xu , Chuanwei Ruan , Kamiya Motwani , Evren Korpeoglu , Sushant Kumar , Kannan Achan

Many networks are complex dynamical systems, where both attributes of nodes and topology of the network (link structure) can change with time. We propose a model of co-evolving networks where both node at- tributes and network structure…

社会与信息网络 · 计算机科学 2011-06-15 Yoon-Sik Cho , Greg Ver Steeg , Aram Galstyan

Network representations of systems from various scientific and societal domains are neither completely random nor fully regular, but instead appear to contain recurring structural building blocks. These features tend to be shared by…

社会与信息网络 · 计算机科学 2016-10-20 Ian Barnett , Nishant Malik , Marieke L. Kuijjer , Peter J. Mucha , Jukka-Pekka Onnela

In network science complex systems are represented as a mathematical graphs consisting of a set of nodes representing the components and a set of edges representing their interactions. The framework of networks has led to significant…

物理与社会 · 物理学 2022-04-07 Alexandre Bovet , Hernán A. Makse

Numerous social, medical, engineering and biological challenges can be framed as graph-based learning tasks. Here, we propose a new feature based approach to network classification. We show how dynamics on a network can be useful to reveal…

机器学习 · 统计学 2017-06-01 Leonardo Gutierrez Gomez , Benjamin Chiem , Jean-Charles Delvenne

The Internet topology at the Autonomous Systems level (AS graph) has a power--law degree distribution and a tier structure. In this paper, we introduce the Interactive Growth (IG) model based on the joint growth of new nodes and new links.…

网络与互联网体系结构 · 计算机科学 2008-12-15 Shi Zhou , Raul J. Mondragon

We introduce an exponential random graph model for networks with a fixed degree distribution and with a tunable degree-degree correlation. We then investigate the nature of a percolation transition in the correlated network with the Poisson…

统计力学 · 物理学 2007-08-30 Jae Dong Noh

Research in network science has shown that many naturally occurring and technologically constructed networks are scale free, that means a power law degree distribution emerges from a growth model in which each new node attaches to the…

物理与社会 · 物理学 2009-11-11 Michael Schnegg

In this article, we extend several algebraic graph analysis methods to bipartite networks. In various areas of science, engineering and commerce, many types of information can be represented as networks, and thus the discipline of network…

离散数学 · 计算机科学 2015-01-16 Jérôme Kunegis

We introduce a new analytical framework for modelling degree sequences in individual communities of real-world networks, e.g., citations to papers in different fields. Our work is inspired by a recent modification of the Price's model,…

物理与社会 · 物理学 2026-04-29 Łukasz Brzozowski , Marek Gagolewski , Grzegorz Siudem , Barbara Żogała-Siudem

We introduce a new model of competition on growing networks. This extends the preferential attachment model, with the key property that node choices evolve simultaneously with the network. When a new node joins the network, it chooses…

物理与社会 · 物理学 2016-10-05 Tonći Antunović , Elchanan Mossel , Miklos Z. Racz

Social networks have been widely studied over the last century from multiple disciplines to understand societal issues such as inequality in employment rates, managerial performance, and epidemic spread. Today, these and many more issues…

社会与信息网络 · 计算机科学 2023-06-21 Lisette Espín-Noboa , Tiago Peixoto , Fariba Karimi

Preferential attachment is often suggested to be the underlying mechanism of the growth of a network, largely due to that many real networks are, to a certain extent, scale-free. However, such attribution is usually made under debatable…

应用统计 · 统计学 2025-09-16 Clement Lee

A key ingredient of current models proposed to capture the topological evolution of complex networks is the hypothesis that highly connected nodes increase their connectivity faster than their less connected peers, a phenomenon called…

统计力学 · 物理学 2009-11-07 H. Jeong , Z. Neda , A. -L. Barabasi

Network science is a powerful framework allowing to model complex systems, it is capable to describe and take into account the intricate web of connections existing among the constituting basic element of the system. Recently scholars have…

统计力学 · 物理学 2026-05-19 Diego Febbe , Duccio Fanelli , Timoteo Carletti

Directed networks are ubiquitous and are necessary to represent complex systems with asymmetric interactions---from food webs to the World Wide Web. Despite the importance of edge direction for detecting local and community structure, it…

物理与社会 · 物理学 2010-11-09 Jacob G. Foster , David V. Foster , Peter Grassberger , Maya Paczuski

Network models are widely used to represent relational information among interacting units and the structural implications of these relations. Recently, social network studies have focused a great deal of attention on random graph models of…

应用统计 · 统计学 2010-10-06 Mark S. Handcock , Krista J. Gile

We analyze the fine-grained connections between the average degree and the power-law degree distribution exponent in growing information networks. Our starting observation is a power-law degree distribution with a decreasing exponent and…

社会与信息网络 · 计算机科学 2017-01-03 Róbert Pálovics , András A. Benczúr

We study a class of growth algorithms for directed graphs that are candidate models for the evolution of genetic regulatory networks. The algorithms involve partial duplication of nodes and their links, together with innovation of new…

分子网络 · 定量生物学 2007-05-23 D. V. Foster , S. A. Kauffman , J. E. S. Socolar

Systems which consist of many localized constituents interacting with each other can be represented by complex networks. Consistently, network science has become highly popular in vast fields focusing on natural, artificial and social…

统计力学 · 物理学 2022-06-29 Rute Oliveira , Samuraí Brito , Luciano R. da Silva , Constantino Tsallis
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