scholarly journals Research of Innovation Diffusion on Industrial Networks

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Yongtai Chen ◽  
Shouwei Li
Keyword(s):  
Innovation Diffusion ◽  
Diffusion Of Innovation ◽  
Small World ◽  
Technical Innovation ◽  
Information Share ◽  
Scale Free ◽  
Real Value ◽  
Threshold Length ◽  
Industrial Network ◽  
The Cost

The real value of innovation consists in its diffusion on industrial network. The factors which affect the diffusion of innovation on industrial network are the topology of industrial network and rules of diffusion. Industrial network is a complex network which has scale-free and small-world characters; its structure has some affection on threshold, length of path, enterprise’s status, and information share of innovation diffusion. Based on the cost and attitude to risk of technical innovation, we present the “avalanche” diffusing model of technical innovation on industrial network.

Top Museums on Instagram

2019 ◽  
Vol 3 (2) ◽  
pp. 18-42 ◽  
Author(s):  
Vasiliki G. Vrana ◽  
Dimitrios A. Kydros ◽  
Evangelos C. Kehris ◽  
Anastasios-Ioannis T. Theocharidis ◽  
George I. Kavavasilis
Keyword(s):  
Social Network ◽  
Network Analysis ◽  
Small World ◽  
Marketing Strategies ◽  
The Other ◽  
Small World Network ◽  
Scale Free ◽  
Centrality Metrics ◽  
Photo Sharing ◽  
Visualization Algorithms

Pictures speak louder than words. In this fast-moving world where people hardly have time to read anything, photo-sharing sites become more and more popular. Instagram is being used by millions of people and has created a “sharing ecosystem” that also encourages curation, expression, and produces feedback. Museums are moving quickly to integrate Instagram into their marketing strategies, provide information, engage with audience and connect to other museums Instagram accounts. Taking into consideration that people may not see museum accounts in the same way that the other museum accounts do, the article first describes accounts' performance of the top, most visited museums worldwide and next investigates their interconnection. The analysis uses techniques from social network analysis, including visualization algorithms and calculations of well-established metrics. The research reveals the most important modes of the network by calculating the appropriate centrality metrics and shows that the network formed by the museum Instagram accounts is a scale–free small world network.

STABILITY OF TWO TYPICAL COMPLEX DYNAMICAL NETWORKS

2008 ◽  
Vol 22 (05) ◽  
pp. 553-560 ◽  
Author(s):  
WU-JIE YUAN ◽  
XIAO-SHU LUO ◽  
PIN-QUN JIANG ◽  
BING-HONG WANG ◽  
JIN-QING FANG
Keyword(s):  
Numerical Simulation ◽  
Dissipative System ◽  
Small World ◽  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Scale Free ◽  
Scale Free Networks ◽  
General Complex ◽  
The Stability ◽  
Theoretical Results

When being constructed, complex dynamical networks can lose stability in the sense of Lyapunov (i. s. L.) due to positive feedback. Thus, there is much important worthiness in the theory and applications of complex dynamical networks to study the stability. In this paper, according to dissipative system criteria, we give the stability condition in general complex dynamical networks, especially, in NW small-world and BA scale-free networks. The results of theoretical analysis and numerical simulation show that the stability i. s. L. depends on the maximal connectivity of the network. Finally, we show a numerical example to verify our theoretical results.

Independence polynomial and matching polynomial of the Koch network

2015 ◽  
Vol 29 (32) ◽  
pp. 1550234
Author(s):  
Yunhua Liao ◽  
Xiaoliang Xie
Keyword(s):  
Lattice Gas ◽  
Small World ◽  
Partition Functions ◽  
Complete Class ◽  
Dimer Model ◽  
Scale Free ◽  
Matching Polynomial ◽  
Independence Polynomial ◽  
Classical Models ◽  
Explicit Formulae

The lattice gas model and the monomer-dimer model are two classical models in statistical mechanics. It is well known that the partition functions of these two models are associated with the independence polynomial and the matching polynomial in graph theory, respectively. Both polynomials have been shown to belong to the “[Formula: see text]-complete” class, which indicate the problems are computationally “intractable”. We consider these two polynomials of the Koch networks which are scale-free with small-world effects. Explicit recurrences are derived, and explicit formulae are presented for the number of independent sets of a certain type.

scholarly journals Analysis on Invulnerability of Wireless Sensor Network towards Cascading Failures Based on Coupled Map Lattice

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Xiuwen Fu ◽  
Yongsheng Yang ◽  
Haiqing Yao
Keyword(s):  
Random Network ◽  
Small World ◽  
Coupled Map Lattice ◽  
Wireless Sensor ◽  
Cascading Failures ◽  
Scale Free Network ◽  
Scale Free ◽  
Network Topologies ◽  
Free Network ◽  
Entire Network

Previous research of wireless sensor networks (WSNs) invulnerability mainly focuses on the static topology, while ignoring the cascading process of the network caused by the dynamic changes of load. Therefore, given the realistic features of WSNs, in this paper we research the invulnerability of WSNs with respect to cascading failures based on the coupled map lattice (CML). The invulnerability and the cascading process of four types of network topologies (i.e., random network, small-world network, homogenous scale-free network, and heterogeneous scale-free network) under various attack schemes (i.e., random attack, max-degree attack, and max-status attack) are investigated, respectively. The simulation results demonstrate that the rise of interference R and coupling coefficient ε will increase the risks of cascading failures. Cascading threshold values Rc and εc exist, where cascading failures will spread to the entire network when R>Rc or ε>εc. When facing a random attack or max-status attack, the network with higher heterogeneity tends to have a stronger invulnerability towards cascading failures. Conversely, when facing a max-degree attack, the network with higher uniformity tends to have a better performance. Besides that, we have also proved that the spreading speed of cascading failures is inversely proportional to the average path length of the network and the increase of average degree k can improve the network invulnerability.

Beyond Scale-Free Small-World Networks: Cortical Columns for Quick Brains

2013 ◽  
Vol 110 (10) ◽  
Author(s):  
Ralph Stoop ◽  
Victor Saase ◽  
Clemens Wagner ◽  
Britta Stoop ◽  
Ruedi Stoop
Keyword(s):  
Small World ◽  
Small World Networks ◽  
Scale Free ◽  
Cortical Columns

scholarly journals Adaptation towards scale-free dynamics improves cortical stimulus discrimination at the cost of reduced detection

2017 ◽  
Vol 13 (5) ◽  
pp. e1005574 ◽  
Author(s):  
Wesley P. Clawson ◽  
Nathaniel C. Wright ◽  
Ralf Wessel ◽  
Woodrow L. Shew
Keyword(s):  
Stimulus Discrimination ◽  
Scale Free ◽  
The Cost

SCALE-FREE AND SMALL-WORLD PROPERTIES OF A SPECIAL HIERARCHICAL NETWORK

Fractals ◽  
2019 ◽  
Vol 27 (02) ◽  
pp. 1950010
Author(s):  
DAOHUA WANG ◽  
YUMEI XUE ◽  
QIAN ZHANG ◽  
MIN NIU
Keyword(s):  
Degree Distribution ◽  
Path Length ◽  
Small World ◽  
Average Path Length ◽  
Clustering Coefficient ◽  
Hierarchical Network ◽  
Scale Free

Many real systems behave similarly with scale-free and small-world structures. In this paper, we generate a special hierarchical network and based on the particular construction of the graph, we aim to present a study on some properties, such as the clustering coefficient, average path length and degree distribution of it, which shows the scale-free and small-world effects of this network.

scholarly journals An Efficient Method of Generating Deterministic Small-World and Scale-Free Graphs for Simulating Real-World Networks

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 59833-59842 ◽  
Author(s):  
Wenchao Jiang ◽  
Yinhu Zhai ◽  
Zhigang Zhuang ◽  
Paul Martin ◽  
Zhiming Zhao ◽  
...  
Keyword(s):  
Efficient Method ◽  
Real World ◽  
Small World ◽  
Scale Free ◽  
Scale Free Graphs

SMALL-WORLD AND SCALE-FREE PROPERTIES OF FRACTAL NETWORKS MODELED ON n-DIMENSIONAL SIERPINSKI PYRAMID

Fractals ◽  
2017 ◽  
Vol 25 (06) ◽  
pp. 1750057 ◽  
Author(s):  
CHENG ZENG ◽  
MENG ZHOU
Keyword(s):  
Small World ◽  
The Self ◽  
Scale Free ◽  
Evolving Networks ◽  
Self Similar

In this paper, we construct evolving networks based on the construction of the [Formula: see text]-dimensional Sierpinski pyramid by the self-similar structure. We show that such networks have scale-free and small-world effects.

scholarly journals Difusi Inovasi Penggunaan Aplikasi Dakwah: Studi Fenomenologi pada Pengguna Aplikasi Yaumi di Pesantren Luhur Sabilussalam Ciputat

2019 ◽  
Vol 23 (2) ◽  
pp. 36-47
Author(s):  
Nida Arafat ◽  
Muhamad Zen
Keyword(s):  
Innovation Diffusion ◽  
Diffusion Of Innovation ◽  
Decision Process ◽  
Research Method ◽  
Diffusion Theory ◽  
Phenomenological Research ◽  
Boarding Schools ◽  
Innovation Diffusion Theory ◽  
Phenomenological Research Method

AbstractThis study wants to find out how the diffusion of innovation occurs in Islamic boarding schools Sabilussalam, how these pesantren students decide to jointly use the Yaumi application. An application that provides Islamic features to support the improvement of a Muslim's worship. This study uses a phenomenological research method. Phenomenological research tries to explain the meaning of a concept or phenomenon in experience which is based on the consciousness of several individuals. In the innovation diffusion theory there are two main points, namely the diffusion elements of innovation and the diffusion decision process of innovation. The results of this study indicate that the process of acceptance and use of the Yaumi application by Sabilussalam students has passed the stages mentioned in the innovation diffusion theory. AbstrakPenelitian ini ingin mengetahui bagaimana difusi inovasi terjadi di pesantren sabilussalam, bagaimana santri-santri pesantren ini memutuskan untuk bersama-sama menggunakan aplikasi Yaumi. Sebuah aplikasi yang menyajikan fitur-fitur Islami untuk mendukung peningkatan ibadah seorang muslim.  Penelitian ini menggunakan metode penelitian fenomenologi. Penelitian fenomenologi mencoba menjelaskan makna konsep atau fenomena dalam pengalaman yang didasari oleh kesadaran  beberapa individu. Dalam teori difusi inovasi terdapat dua poin utama, yaitu elemen difusi inovasi dan proses putusan difusi inovasi. Hasil penelitian ini menunjukkan proses penerimaan dan penggunaan aplikasi Yaumi oleh santri Sabilussalam telah melewati tahap-tahap yang disebutkan dalam teori difusi inovasi.

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