On the eigenvalues of Cayley graphs on the symmetric group generated by a complete multipartite set of transpositions

Given a finite simple graph \cG with $n$ vertices, we can construct the Cayley graph on the symmetric group $S_n$ generated by the edges of \cG, interpreted as transpositions. We show that, if \cG is complete multipartite, the eigenvalues of the Laplacian of \Cay(\cG) have a simple expression in terms of the irreducible characters of transpositions, and of the Littlewood-Richardson coefficients. As a consequence we can prove that the Laplacians of \cG and of \Cay(\cG) have the same first nontrivial eigenvalue. This is equivalent to saying that Aldous's conjecture, asserting that the random walk and the interchange process have the same spectral gap, holds for complete multipartite graphs.Comment: 29 pages. Includes modification which appear on the published version in J. Algebraic Combi

The mental health of university students in the United Kingdom

There are increasing concerns globally about the mental health of students (Kadison,& Digeronimo, 2004). In the UK, the actual incidence of mental disturbance is unknown, although university counselling services report increased referrals (Association of University & College Counselling, 2011). This study assesses the levels of mental illness in undergraduate students to examine whether widening participation in education has resulted in increases as hypothesized by the UK Royal College of Psychiatrists (2003, 2011). Patterns of disturbance across years are compared to identify where problems arise. Students (N = 1197) completed the General Health Questionnaire-28 either on day one at university or midway through the academic year for first, second and third year students. Rates of mental illness in students equalled those of the general population but only 5.1% were currently receiving treatment. Second year students reported the most significant increases in psychiatric symptoms. Factors contributing to the problem are discussed

Environmental disclosure in Spain: Corporate characteristics and media exposure

Social and environmental issues have become a major concern for accounting research over the past two decades. Social and Environmental Accounting has attracted the attention of a number of researchers attempting to understand, explain and predict the disclosure of information on the social and environmental implications of business activities. Empirical research has hypothesized that size, profitability and the potential environmental impact of the firm are the main factors explaining the amount of information disclosed. On the other hand, several studies have focused on the motivations for disclosing environmental information, hypothesizing that disclosures are aimed at building or sustaining corporate legitimacy. We test the main hypotheses developed to date by empirical research with regard to the disclosure of environmental information based on a sample of companies listed on the Madrid Stock Exchange. Results of a content analysis show that firms disclosing environmental information tend to be larger, have higher risk (measured by the beta coefficient) and operate in industries that have a high potential environmental impact. The environmental implications of the activities carried out by these companies also seem to receive more attention from print media. Our results also provide evidence that two factors directly associated with the amount of environmental information disclosed are the potential environmental impact of the industry and the extent of media coverage of the firms

Ten-year follow-up of a patient with metastatic Ewing's sarcoma of the pelvis.

PATIENT: We report a 32-year-old women with a pelvic Ewing's sarcoma, who developed skeletal metastases within 20 months of diagnosis but following treatment remains disease-free at 10 years. DISCUSSION: Ewing's sarcoma is a highly malignant tumour of bone. Presentation of a pelvic tumour over the age of 30 years is extremely rare and associated with a poor prognosis. Early recurrence is also associated with an extremely grave prognosis. In our patient there was little or no response to salvage chemotherapy, but, against the odds, remission was induced with pamidronate and palliative radiotherapy to some but not all sites of disease.This remission has been maintained without additional therapy for a further 5 years

Human Resource Flexibility as a Mediating Variable Between High Performance Work Systems and Performance

Much of the human resource management literature has demonstrated the impact of high performance work systems (HPWS) on organizational performance. A new generation of studies is emerging in this literature that recommends the inclusion of mediating variables between HPWS and organizational performance. The increasing rate of dynamism in competitive environments suggests that measures of employee adaptability should be included as a mechanism that may explain the relevance of HPWS to firm competitiveness. On a sample of 226 Spanish firms, the study’s results confirm that HPWS influences performance through its impact on the firm’s human resource (HR) flexibility

Designing Social Agents with Empathic Understanding

Abstract. This paper addresses the design of an agent model for a social agent capable of understanding other agents in an empathic way. The model describes how the empathic agent deals with another agent’s mental states and the associated feelings, thus not only understanding the other agent’s mental state but at the same time feeling the accompanying emotion of the other agent.

The paradox in international cooperation: Institutionally embedded universities in a global environment

As a response to processes of globalisation and regional integration, internationalisation activities in universities have changed. Flows have become more massive, the range of activities has broadened, and internationalisation has shifted from a marginal activity to a central institutional issue with strategic importance (van der Wende 2001, European Journal of Education 36(4), 431-441). These shifts can also be observed in international cooperation among universities. One of the manifestations of this shift is the increase and change of inter-organisational arrangements in higher education. One type of such arrangements - higher education consortia - are analysed in detail in the study. This analysis takes inter-organisational diversity as a starting point (Parkhe 1991, Journal of International Business Studies 22(4), 579-601). The basic thesis is that partners need to be similar, yet different, or in other words, there needs to be sufficient complementarity as well as sufficient compatibility among the participating universities. The article also explores the ways in which the management of consortia can improve the levels of complementarity and compatibility and thus the success of such consortia. © 2007 Springer Science+Business Media B.V