Note on incidence chromatic number of subquartic graphs

An incidence in a graph G is a pair (v, e) where v is a vertex of G and e is an edge of G incident to v. Two incidences (v, e) and (u, f) are adjacent if at least one of the following holds: \((a) v = u, (b) e = f\), or \((c) vu \in \{e,f\}\). An incidence coloring of G is a coloring of its incidences assigning distinct colors to adjacent incidences. In this note we prove that every subquartic graph admits an incidence coloring with at most seven colors.     

A tighter insertion-based approximation of the crossing number

Let G be a planar graph and F a set of additional edges not yet in G. The multiple edge insertion problem (MEI) asks for a drawing of \(G+F\) with the minimum number of pairwise edge crossings, such that the subdrawing of G is plane. Finding an exact solution to MEI is NP-hard for general F. We present the first polynomial time algorithm for MEI that achieves an additive approximation guarantee—depending only on the size of F and the maximum degree of G, in the case of connected G. Our algorithm seems to be the first directly implementable one in that realm, too, next to the single edge insertion. It is also known that an (even approximate) solution to the MEI problem would approximate the crossing number of the F-almost-planar graph \(G+F\), while computing the crossing number of \(G+F\) exactly is NP-hard already when \(|F|=1\). Hence our algorithm induces new, improved approximation bounds for the crossing number problem of F-almost-planar graphs, achieving constant-factor approximation for the large class of such graphs of bounded degrees and bounded size of F.     

Long cycles in hypercubes with optimal number of?faulty vertices

Let f(n) be the maximum integer such that for every set F of at most f(n) vertices of the hypercube Q _n , there exists a cycle of length at least 2 ⁿ ?2|F| in Q _n ?F. Casta?eda and Gotchev conjectured that $f(n)=\binom{n}{2}-2$ . We prove this conjecture. We also prove that for every set F of at most (n ²+n?4)/4 vertices of Q _n , there exists a path of length at least 2 ⁿ ?2|F|?2 in Q _n ?F between any two vertices such that each of them has at most 3 neighbors in F. We introduce a new technique of potentials which could be of independent interest.     

International Profit‐Shifting out of Developing Countries and the Role of Tax Havens

This article contributes to the debate on how tax avoidance and evasion can hamper development efforts by investigating the link between profit‐shifting out of developing countries and tax havens. Analysis of more than 1500 multinational corporations (MNCs) operating in India shows that in 2010 those MNCs with links to tax havens reported lower profits and paid less in taxes per unit of asset than MNCs with no such links. This confirms the notion that when corporations have links to tax havens they enjoy higher incentives, because of the low tax rates, and opportunities to shift income because of the secrecy provisions tax havens offer.     

Plastic surgery in gynaecology: Factors affecting women’s decision to undergo labiaplasty. Mind the risk of body dysmorphic disorder: A review

ABSTRACT

Aesthetic surgery of the female genitalia is on the rise. Many procedures are performed. Body dysmorphic disorder (BDD) is a psychiatric disorder and often goes unrecognized in plastic surgery. This review examines actual knowledge of plastic surgery in gynecology, knowledge of motivational factors of women, and BDD. We carried out a systematic electronic search. We used a combination of relevant keywords to construct the search strategy. Included studies were systematic reviews or primary studies published 1990–2017 and containing information about BDD. Reviewers independently assessed study eligibility, extracted data, and assessed quality, undertaking narrative synthesis. The research revealed a variety of plastic procedures available and why women consider undergoing labia reduction surgery.     

Poverty, Social Exclusion and Social Policy in the Czech Republic

This article analyses the pattern of poverty and social exclusion in the Czech Republic and the impact of social policy on this pattern. The analysis is mostly based on data from the Czech Survey on Social Conditions of Households (2001; 27,000 respondents); Eurostat data provide a benchmark for making international comparisons. The poverty rate in the Czech Republic is among the lowest in Europe. On the other hand, material deprivation, as well as concentration of poverty within specific population groups, is high, with the unemployed facing the highest risk of poverty. Social policy measures in effect reinforce this pattern: while the benefit system is highly redistributive and effectively eliminates income poverty among households of employed persons and among pensioners, incomes of persons outside paid employment are protected less effectively. Labour market policy measures are insufficient in scope and inadequate in targeting groups which are facing the highest risk of labour market exclusion and poverty. We argue that although this practice is effective at present, it is not sustainable in the long term.     

A Comparison of Male Sex Workers in Prague: Internet Escorts versus Men Who Work in Specialized Bars and Clubs

Prague, the Czech Republic, is a popular sex tourism destination where sex work is decriminalized and young men offer sexual services at low prices relative to countries in Western Europe. This quantitative survey aimed to identify some of the demographic characteristics of these young men and their experiences in the sex industry. Internet escorts (N = 20) and sex workers in bars and clubs (N = 20) completed the survey anonymously in spring 2011. The results showed that sex workers in clubs often had troubled pasts and were forced into sex work to survive. They also reported incidents of violence, serious alcohol and drug use, as well as frequent gambling. The larger group of sex workers in Prague is made up of Internet escorts who have backgrounds that are not atypical for the average Czech youth. They had fewer problems with drugs and alcohol but were twice as likely as sex workers in bars and clubs to be victims of violent crime. Plans for interventions to help those who would change their line of work, as well as the importance of sociocultural context in understanding sex workers, are discussed.     

Rebuilding Status Consistency in a Post-communist Society. The Czech Republic, 199197

In this paper we perform an empirical analysis of status consistency in a postcommunist society. We supply three arguments as to why the various dimensions of social status can be expected to have crystallized following the fall of communism. First, post-communist societies have experienced a significant increase in income and wealth inequality. Second, there have been significant changes in the class structure and, third, processes that generate inequality and social structure have been changing as well. The analysis demonstrates the increase in status consistency in the Czech Republic in the period 1991-97. Further, we explore the degree of status inconsistency in different subpopulations and the political consequences of status inconsistency.     

Koreans in Central Asia – a different Korean nation

The main objective of this study was to illustrate the cultural changes that have taken place among Korean ethnic groups living in the Central Asian states of the former Soviet Union. Previous research on Korean minorities has demonstrated the impact of state intervention on the formation of ethnic identity. Despite a wide range of regional differences, those living in Korea in the nineteenth century belonged to one ethnic group. Once they left the northern part of the country for Russia, they began to adopt Russian culture relatively quickly. Following their deportation to Central Asia in the 1930s, they then experienced a largely Soviet model of inclusion into mainstream society. However, since the 1980s, when confronted with ‘original’ Korean culture, they now consider themselves to be dissimilar to other Korean groups. The differences are already so substantial that Koreans themselves now talk about belonging to different nations.