The friendship paradox is revisited by considering both local and global averages of friends. How the economics of attention affects the recruitment of friends is examined. Statistical implications of varying individual attentions are investigated and it is argued that this is one reason why the mean of friends is higher than the median in social networks. The distribution of friends skews to t...

Our friends have more friends than we do. That is the basis of the friendship paradox. In mathematical terms, the mean number of friends of friends is higher than the mean number of friends. In the present study, we analyzed the relationship between the mean degree of vertices (individuals), 〈k〉, and the mean number of friends of friends, 〈kFF 〉, in scale-free networks with degrees ranging from...

This article analyses Turkish parliamentary discourses towards communities living outside of Turkey from 1988 to 2016. It focuses particularly on the usage bridge metaphor in discursive strategies these communities; concentrated mainly former Ottoman territories and parts Eurasia. The argues that parliamentarians used frame as part both nation they lived in, thereby constituting their liminal i...

Alfred Nobel was one of the most successful chemists, inventors, entrepreneurs, and businessmen of the late nineteenth century. In a decision later in life, he rewrote his will to leave virtually all his fortune to establish prizes for persons of any nationality who made the most compelling achievement for the benefit of mankind in the fields of chemistry, physics, physiology or medicine, liter...

In this paper we provide a purely combinatorial proof of the Friendship Theorem, which has been first proven by P. Erdös et al. by using also algebraic methods. Moreover, we generalize this theorem in a natural way, assuming that every pair of nodes occupies ≥ 2 common neighbors. We prove that every graph, which satisfies this generalized -friendship condition, is a regular graph.

This study discusses a Turkish music education model similar to its Venezuelan counterpart El Sistema, in which socialization and human development are the main goals. The Music for Peace (Baris Icin Muzik) model, founded in 2005 by an idealist humanitarian in Istanbul, started as a pilot project with accordion and today makes symphonic music education. The program aims to offer social change t...

perception that we represented the regime and were its mouthpiece; that the situation was more sensitive than we had realised; that feelings of hurt and anguish ran deep; that we had in fact been resigned to accepting an atrocious situation. I apologised for this complacency, for the loss of dignity our colleagues had suffered for so long, and for all our errors of omis~ion, and expressed the h...

In the 1790s, Scotsmen were involved in celebrations of French Revolution both Scotland and France. How far did those men, stemming mainly from elites, manage to relate with French? The article examines Bastille Day dinners given 1790 1792, international festivals organized by Jacobins harbour cities as well Thomas Muir’s welcome reception held Bordeaux 1797. Though look very dissimilar, each c...

A graph G is H-saturated if G does not contain H as a subgraph but for any nonadjacent vertices u and v, G+uv containsH as a subgraph. The parameter sat(H, n) is theminimum number of edges in an H-saturated graph of order n. In this paper, we determine sat(H, n) for sufficiently large nwhen H is a union of cliques of the same order, an arbitrary union of two cliques and a generalized friendship...