The self-similarity of complex networks: From the view of degree–degree distance

2021 ◽  
pp. 2150331
Author(s):  
Bing Wang ◽  
Jia Zhu ◽  
Daijun Wei

Self-similarity of complex networks has been discovered and attracted much attention. However, the self-similarity of complex networks was measured by the classical distance of nodes. Recently, a new feature, which is named as degree–degree distance, is used to measure the distance of nodes. In the definition of degree–degree distance, the relationship between two nodes is dependent on degree of nodes. In this paper, we explore the self-similarity of complex networks from the perspective of degree–degree distance. A box-covering algorithm based on degree–degree distance is proposed to calculate the value of dimension of complex networks. Some complex networks are studied, and the results show that these networks have self-similarity from the perspective of degree–degree distance. The proposed method for measuring self-similarity of complex networks is reasonable.

2018 ◽  
Vol 46 (4) ◽  
pp. 305-314 ◽  
Author(s):  
Everett L. Worthington

I examine religious humility, which is one content area of intellectual humility. Intellectual humility is the subtype of humility that involves taking a humble stance in sharing ideas, especially when one is challenged or when an idea is threatening. I position religious humility within the context of general humility, spiritual humility, and relational humility, and thus arrive at several propositions. People who are intensely spiritually humble can hold dogmatic beliefs and believe themselves to be religiously humble, yet be perceived by others of different persuasions as religiously dogmatic and even arrogant. For such people to be truly religiously humble, they must feel that the religious belief is core to their meaning system. This requires discernment of which of the person’s beliefs are truly at the core. But also the religiously humble person must fulfill the definition of general humility, accurately perceiving the strengths and limitations of the self, being teachable to correct weaknesses, presenting oneself modestly, and being positively other-oriented. Humility thus involves (1) beliefs, values, and attitudes and (2) an interpersonal presentational style. Therefore, intellectually humble people must track the positive epistemic status of their beliefs and also must present with convicted civility.


Fractals ◽  
2019 ◽  
Vol 27 (02) ◽  
pp. 1950016 ◽  
Author(s):  
JIN CHEN ◽  
LONG HE ◽  
QIN WANG

The eccentric distance sum is concerned with complex networks. To obtain the asymptotic formula of eccentric distance sum on growing Sierpiński networks, we study some nonlinear integral in terms of self-similar measure on the Sierpiński gasket and use the self-similarity of distance and measure to obtain the exact value of this integral.


Author(s):  
Pau Conde Arroyo

Este artículo trata de problematizar la definición taxonómica de Testo yonqui desde una óptica literaria que atiende a su faceta narrativa para dilucidar los cauces por los que se manifiesta en tanto que ensayo queer. Dicha problematización es abordada desde dos lugares: por un lado, desde la propia obra, atendiendo a las autodefiniciones presentes en el texto, que son examinadas a partir del marco teórico de la autobiografía; y, por otro lado, desde la recepción crítica de Testo yonqui. En último lugar, a la luz de lo anterior, se exponen una serie de tensiones relativas a la relación entre narración, referente y representación en la propuesta experimental del principio autocobaya.   This article aims to question the taxonomical definition of Testo Junkie from a literary perspective that considers its narrative aspect in order to elucidate the ways in which it can be regarded as a queer essay. Such questioning is approached from two angles: on the one hand, from the work itself, examining the self-definitions found in the text, which are studied on the basis of the theoretical framework of autobiography; and, on the other hand, from Testo Junkie’s critic reception. Lastly, the principle of the auto-guinea pig is also explored, in reference to the series of tensions arising from the relationship between narration, referent and representation.


2017 ◽  
Vol 7 (2) ◽  
Author(s):  
Dr.Sc. Lucia Novakova

Self-definition of ancient Greeks was created under the influence of socio-historical events, reflecting both, the relationship between Hellenes themselves and attitudes towards others. Greek wonder as a selfgenerated process yielded to a growing awareness that the drive towards advancement, observed in certain regions of Greece, was probably not possible without the external impetus of an extensively integrated Mediterranean world (Rollinger 2006, 197-226). The influencing factors for self-definition of ancient Greeks were a shared myth of descent, a shared territory, and a shared sense of history. Many scholars assume, that a sense of Greekness among Dorians, Ionians, Aiolians and others was finally crystallized throughout the number of military conflicts in which they were involved during the Classical period. Its seems probable that Athens played a major role both in the invention of the barbarian concept and in the substitution of cultural for ethnic criteria in the self-definition of Greeks. In their self-definition, Greeks seem to be deliberately stylized as antinomy to what they considered  to be typical for others. Similarly, as a response to the strong pressure from the Persians, the national awareness of the Anatolians was formed. Interestingly, in some cases local ethnic groups had chosen cultural elements that had been associated with Greeks or Persians for their self-definition.


Author(s):  
Emma Lo

The influence and spread of traditional Balinese music over time and across regions has been conducted through a number of different channels. In addition to locally-focused efforts, cultural transfer has also contributed to the preservation of traditional Balinese arts. From the self-interested, strategic support of gamelan music by Japanese occupational forces to the global experimental music scene today, Balinese arts have been shared, supported, translated, and appropriated in various ways by a number of different actors to political, artistic, and commercial ends. Building on Michel Espagne’s definition of cultural transfer and Stephen Greenblatt’s concept of cultural mobility, this paper aims to outline different modes of cultural transfer (or “bridges,” as Espagne would say), with explicit attention to power dynamics and multi-way flows of influence. Several key historical and contemporary examples of the transfer of traditional Balinese music will be discussed in an effort to better understand the relationship between cultural transfer and preservation.


Author(s):  
Haixin Zhang ◽  
Daijun Wei ◽  
Yong Hu ◽  
Xin Lan ◽  
Yong Deng

1959 ◽  
Vol 13 (2) ◽  
pp. 204-218
Author(s):  
Zelman Cowen

There is an old adage that beauty lies in the eye of the beholder. It is certain that the beauty, the utility, and the significance of the Commonwealth association appear very differently to its various members. This was true of the pre-war Commonwealth: between the end of the first world war and the beginning of the second there were marked differences of attitude among the members. The central problem was seen as the definition of the relationship between the United Kingdom and what were then described as the self-governing dominions. To South Africa, the Irish Free State, and Canada—in varying degrees—it was important that the relationship should be spelled out in terms which assured, so far as was possible through the medium of statute and the articulation of conventional rules, a status of equality between the United Kingdom and the dominions. To Australia and New Zealand the attempt at such a definition appeared undesirable; quieta non movere seemed to them the counsel of wisdom.


2019 ◽  
Vol 116 (14) ◽  
pp. 6701-6706 ◽  
Author(s):  
Dimitrios Tsiotas

The scale-free (SF) property is a major concept in complex networks, and it is based on the definition that an SF network has a degree distribution that follows a power-law (PL) pattern. This paper highlights that not all networks with a PL degree distribution arise through a Barabási−Albert (BA) preferential attachment growth process, a fact that, although evident from the literature, is often overlooked by many researchers. For this purpose, it is demonstrated, with simulations, that established measures of network topology do not suffice to distinguish between BA networks and other (random-like and lattice-like) SF networks with the same degree distribution. Additionally, it is examined whether an existing self-similarity metric proposed for the definition of the SF property is also capable of distinguishing different SF topologies with the same degree distribution. To contribute to this discrimination, this paper introduces a spectral metric, which is shown to be more capable of distinguishing between different SF topologies with the same degree distribution, in comparison with the existing metrics.


2013 ◽  
Vol 27 (28) ◽  
pp. 1350201 ◽  
Author(s):  
HAIXIN ZHANG ◽  
XIN LAN ◽  
DAIJUN WEI ◽  
SANKARAN MAHADEVAN ◽  
YONG DENG

Complex networks are widely used to model the structure of many complex systems in nature and society. Recently, fractal and self-similarity of complex networks have attracted much attention. It is observed that hub repulsion is the key principle that leads to the fractal structure of networks. Based on the principle of hub repulsion, the metric in complex networks is redefined and a new method to calculate the fractal dimension of complex networks is proposed in this paper. Some real complex networks are investigated and the results are illustrated to show the self-similarity of complex networks.


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