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We study core-periphery structure in networks using inference methods based on a flexible network model that allows for traditional onion-like cores within cores, but also for hierarchical tree-like structures and more general non-nested…

社会与信息网络 · 计算机科学 2023-08-25 Austin Polanco , M. E. J. Newman

Dynamic networks are structured interconnections of dynamical systems (modules) driven by external excitation and disturbance signals. In order to identify their dynamical properties and/or their topology consistently from measured data, we…

系统与控制 · 计算机科学 2018-04-12 Harm H. M. Weerts , Paul M. J. Van den Hof , Arne G. Dankers

In this paper we study the Indian Highway Network as a complex network where the junction points are considered as nodes, and the links are formed by an existing connection. We explore the topological properties and community structure of…

物理与社会 · 物理学 2015-06-04 Satyam Mukherjee

Graph auto-encoders have proved to be useful in network embedding task. However, current models only consider explicit structures and fail to explore the informative latent structures cohered in networks. To address this issue, we propose a…

机器学习 · 计算机科学 2021-10-01 Minglong Lei , Yong Shi , Lingfeng Niu

An adjacency labeling scheme is a method that assigns labels to the vertices of a graph such that adjacency between vertices can be inferred directly from the assigned label, without using a centralized data structure. We devise adjacency…

分布式、并行与集群计算 · 计算机科学 2015-02-16 Casper Petersen , Noy Rotbart , Jakob Grue Simonsen , Christian Wulff-Nilsen

Two aspects of fractal networks are considered: the community structure and the class structure, where classes of nodes appear as a consequence of a local symmetry of nodes. The analysed systems are the networks constructed for two selected…

计算物理 · 物理学 2015-06-19 M. J. Krawczyk

Heterogeneous networks play a key role in the evolution of communities and the decisions individuals make. These networks link different types of entities, for example, people and the events they attend. Network analysis algorithms usually…

计算机与社会 · 计算机科学 2016-11-17 Rumi Ghosh , Kristina Lerman

Core-periphery structure, the arrangement of a network into a dense core and sparse periphery, is a versatile descriptor of various social, biological, and technological networks. In practice, different core-periphery algorithms are often…

社会与信息网络 · 计算机科学 2021-04-23 Ryan J. Gallagher , Jean-Gabriel Young , Brooke Foucault Welles

Networks often possess mesoscale structures, and studying them can yield insights into both structure and function. It is most common to study community structure, but numerous other types of mesoscale structures also exist. In this paper,…

物理与社会 · 物理学 2014-03-21 Sang Hoon Lee , Mihai Cucuringu , Mason A. Porter

It has been found that many networks display community structure -- groups of vertices within which connections are dense but between which they are sparser -- and highly sensitive computer algorithms have in recent years been developed for…

统计力学 · 物理学 2009-11-10 M. E. J. Newman

Network science is an interdisciplinary endeavor, with methods and applications drawn from across the natural, social, and information sciences. A prominent problem in network science is the algorithmic detection of tightly-connected groups…

数据分析、统计与概率 · 物理学 2010-07-14 Peter J. Mucha , Thomas Richardson , Kevin Macon , Mason A. Porter , Jukka-Pekka Onnela

To understand the formation, evolution, and function of complex systems, it is crucial to understand the internal organization of their interaction networks. Partly due to the impossibility of visualizing large complex networks, resolving…

物理与社会 · 物理学 2011-11-30 Takashi Nishikawa , Adilson E. Motter

A routing labeling scheme assigns a binary string, called a label, to each node in a network, and chooses a distinct port number from $\{1,\ldots,d\}$ for every edge outgoing from a node of degree $d$. Then, given the labels of $u$ and $w$…

数据结构与算法 · 计算机科学 2020-03-17 Paweł Gawrychowski , Wojciech Janczewski , Jakub Łopuszański

In this paper, we proposed a novel two-stage optimization method for network community partition, which is based on inherent network structure information. The introduced optimization approach utilizes the new network centrality measure of…

社会与信息网络 · 计算机科学 2019-07-16 Yiguang Bai , Sanyang Liu , Ke Yin , Jing Yuan

Unveiling the underlying control principles of complex networks is one of the ultimate goals of network science. We introduce a novel concept, control hub, to reveal a cornerstone of the control structure of a network. The control hubs of a…

离散数学 · 计算机科学 2022-06-03 Xizhe Zhang , Chunyu Pan , Weixiong Zhang

We consider a crucial aspect of self-organization of a sensor network consisting of a large set of simple sensor nodes with no location hardware and only very limited communication range. After having been distributed randomly in a given…

数据结构与算法 · 计算机科学 2007-05-23 Sandor P. Fekete , Alexander Kroeller , Dennis Pfisterer , Stefan Fischer , Carsten Buschmann

Let a network be represented by a simple graph $\mathcal{G}$ with $n$ vertices. A common approach to investigate properties of a network is to use the adjacency matrix $A=[a_{ij}]_{i,j=1}^n\in\R^{n\times n}$ associated with the graph…

数值分析 · 数学 2023-05-16 Silvia Noschese , Lothar Reichel

We propose an algorithm for finding overlapping community structure in very large networks. The algorithm is based on the label propagation technique of Raghavan, Albert, and Kumara, but is able to detect communities that overlap. Like the…

物理与社会 · 物理学 2010-10-15 Steve Gregory

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…

社会与信息网络 · 计算机科学 2015-05-27 Smriti Bhagat , Graham Cormode , S. Muthukrishnan

This paper defines the toroidal small world labeling problem that asks for a labeling of the vertices of a network such that the labels possess information that allows a compact routing scheme in the network. We consider the problem over a…

数据结构与算法 · 计算机科学 2019-11-13 Santiago Viertel , André Luís Vignatti