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Many of the structural characteristics of a network depend on the connectivity with and within the hubs. These dependencies can be related to the degree of a node and the number of links that a node shares with nodes of higher degree. In…

物理与社会 · 物理学 2018-10-31 Raul J Mondragon

Estimating influential nodes in large scale networks including but not limited to social networks, biological networks, communication networks, emerging smart grids etc. is a topic of fundamental interest. To understand influences of nodes…

社会与信息网络 · 计算机科学 2014-06-13 Sima Das

Ranking nodes in networks according to a defined measure of importance is an extensively studied task, with applications in ecology, economic trade networks, and social networks. This paper introduces a method based on a non-linear…

统计力学 · 物理学 2025-04-01 Andrea Mazzolini , Michele Caselle , Matteo Osella

A variety of metrics have been proposed to measure the relative importance of nodes in a network. One of these, alpha-centrality [Bonacich, 2001], measures the number of attenuated paths that exist between nodes. We introduce a normalized…

社会与信息网络 · 计算机科学 2012-08-06 Rumi Ghosh , Kristina Lerman

Network analysis is an important tool in understanding the behavior of complex systems of interacting entities. However, due to the limitations of data gathering technologies, some interactions might be missing from the network model. This…

社会与信息网络 · 计算机科学 2016-08-25 Soumya Sarkar , Sanjukta Bhowmick , Suhansanu Kumar , Animesh Mukherjee

Relational inference leverages relationships between entities and links in a network to infer information about the network from a small sample. This method is often used when global information about the network is not available or…

社会与信息网络 · 计算机科学 2018-03-08 Lisette Espín-Noboa , Claudia Wagner , Fariba Karimi , Kristina Lerman

Nestedness characterizes the linkage pattern of networked systems, indicating the likelihood that a node is linked to the nodes linked to the nodes with larger degrees than it. Networks of mutualistic relationship between distinct groups of…

物理与社会 · 物理学 2012-03-13 Deok-Sun Lee , Seong Eun Maeng , Jae Woo Lee

Nestedness is a property of interaction networks widely observed in natural mutualistic communities. Despite a widespread interest on this pattern, no general consensus exists on how to measure it. Instead, several metrics aiming at…

物理与社会 · 物理学 2020-02-04 Claudia Payrato-Borras , Laura Hernandez , Yamir Moreno

All networks can be analyzed at multiple scales. A higher scale of a network is made up of macro-nodes: subgraphs that have been grouped into individual nodes. Recasting a network at higher scales can have useful effects, such as decreasing…

社会与信息网络 · 计算机科学 2022-02-18 Ross Griebenow , Brennan Klein , Erik Hoel

In recent years complex networks have gained increasing attention in different fields of science and engineering. The problem of controlling these networks is an interesting and challenging problem to investigate. In this paper we look at…

最优化与控制 · 数学 2016-11-17 Nicoletta Bof , Giacomo Baggio , Sandro Zampieri

Centrality measures, erstwhile popular amongst the sociologists and psychologists, have seen broad and increasing applications across several disciplines of late. Amongst a plethora of application specific definitions available in the…

社会与信息网络 · 计算机科学 2017-03-23 Rishi Ranjan Singh , Shubham Chaudhary , Manas Agarwal

Network reliability measures the probability that a target node is reachable from a source node in an uncertain graph, i.e., a graph where every edge is associated with a probability of existence. In this paper, we investigate the novel and…

数据库 · 计算机科学 2020-05-26 Xiangyu Ke , Arijit Khan , Mohammad Al Hasan , Rojin Rezvansangsari

Liu et al recently proposed a minimum number of driver nodes needed to obtain full structural controllability over a directed network. Driver nodes are unmatched nodes, from which there are directed paths to all matched nodes. Their most…

物理与社会 · 物理学 2012-09-18 Soumya Jyoti Banerjee , Soumen Roy

Centrality of a node measures its relative importance within a network. There are a number of applications of centrality, including inferring the influence or success of an individual in a social network, and the resulting social network…

社会与信息网络 · 计算机科学 2014-12-20 Yang Yang , Yuxiao Dong , Nitesh V. Chawla

Three measures of clumpiness of complex networks are introduced. The measures quantify how most central nodes of a network are clumped together. The assortativity coefficient defined in a previous study measures a similar characteristic,…

物理与社会 · 物理学 2009-05-27 Ernesto Estrada , Naomichi Hatano , Amauri Gutierrez

We present a physically-inspired model and an efficient algorithm to infer hierarchical rankings of nodes in directed networks. It assigns real-valued ranks to nodes rather than simply ordinal ranks, and it formalizes the assumption that…

物理与社会 · 物理学 2018-06-14 Caterina De Bacco , Daniel B. Larremore , Cristopher Moore

We introduce Loop Ranking, a new ranking measure based on the detection of closed paths, which can be computed in an efficient way. We analyze it with respect to several ranking measures which have been proposed in the past, and are widely…

无序系统与神经网络 · 物理学 2013-05-29 Valery Van Kerrebroeck , Enzo Marinari

Synchronization is critical for system level behaviour in physical, chemical, biological and social systems. Empirical evidence has shown that the network topology strongly impacts the synchronizablity of the system, and the analysis of…

社会与信息网络 · 计算机科学 2021-11-24 Mengbang Zou , Weisi Guo

Networks created from real-world data contain some inaccuracies or noise, manifested as small changes in the network structure. An important question is whether these small changes can significantly affect the analysis results. In this…

社会与信息网络 · 计算机科学 2016-09-20 Vladimir Ufimtsev , Soumya Sarkar , Animesh Mukherjee , Sanjukta Bhowmick

Many real networks in social sciences, biological and biomedical sciences or computer science have an inherent structure of simplicial complexes reflecting many-body interactions. Therefore, to analyse topological and dynamical properties…

代数拓扑 · 数学 2020-04-16 Daniel Hernández Serrano , Darío Sánchez Gómez