On vertex-parity edge-colorings

A vertex signature \(\pi \) of a finite graph G is any mapping \(\pi \,{:}\,V(G)\rightarrow \{0,1\}\). An edge-coloring of G is said to be vertex-parity for the pair \((G,\pi )\) if for every vertex v each color used on the edges incident to v appears in parity accordance with \(\pi \), i.e. an even or odd number of times depending on whether \(\pi (v)\) equals 0 or 1, respectively. The minimum number of colors for which \((G,\pi )\) admits such an edge-coloring is denoted by \(\chi '_p(G,\pi )\). We characterize the existence and prove that \(\chi '_p(G,\pi )\) is at most 6. Furthermore, we give a structural characterization of the pairs \((G,\pi )\) for which \(\chi '_p(G,\pi )=5\) and \(\chi '_p(G,\pi )=6\). In the last part of the paper, we consider a weaker version of the coloring, where it suffices that at every vertex, at least one color appears in parity accordance with \(\pi \). We show that the corresponding chromatic index is at most 3 and give a complete characterization for it.     

Broadcasting multiple messages in the 1-in port model in optimal time

In the 1-in port model, every vertex of a synchronous network can receive at most one message in each time unit. We consider simultaneous broadcasting of multiple messages from the same source or from distinct sources in such networks with an additional restriction that every received message can be sent out to neighbors only in the next time unit and never to already informed vertex. We use a general concept of level-disjoint partitions developed for this scenario. Here we introduce a subgraph extension technique for efficient spreading information within this concept. Surprisingly, this approach with so called biwheels leads to simultaneous broadcasting of optimal number of messages on a wide class of graphs in optimal time. In particular, we provide tight results for bipartite tori, meshes, hypercubes, Knödel graphs, circulant graphs. We also propose several open problems and conjectures.     

Comparison of efficiencies of some symmetry tests around an unknown centre

In this paper, some recent and classical tests of symmetry are modified for the case of an unknown centre. The unknown centre is estimated with its α-trimmed mean estimator. The asymptotic behaviour of the new tests is explored. The local approximate Bahadur efficiency is used to compare the tests to each other as well as to some other tests.     

Field trials of a novel toolkit for evaluating 'intangible' values-related dimensions of projects

A novel toolkit has been developed, using an original approach to develop its components, for the purpose of evaluating 'soft' outcomes and processes that have previously been generally considered 'intangible': those which are specifically values based. This represents a step-wise, significant, change in provision for the assessment of values-based achievements that are of absolutely key importance to most civil society organisations (CSOs) and values-based businesses, and fills a known gap in evaluation practice. In this paper, we demonstrate the significance and rigour of the toolkit by presenting an evaluation of it in three diverse scenarios where different CSOs use it to co-evaluate locally relevant outcomes and processes to obtain results which are both meaningful to them and potentially comparable across organisations. A key strength of the toolkit is its original use of a prior generated, peer-elicited 'menu' of values-based indicators which provides a framework for user CSOs to localise. Principles of participatory, process-based and utilisation-focused evaluation are embedded in this toolkit and shown to be critical to its success, achieving high face-validity and wide applicability. The emerging contribution of this next-generation evaluation tool to other fields, such as environmental values, development and environmental sustainable development, shared values, business, education and organisational change is outlined.     

Uncovering CSR meaning networks: A cross-national comparison of Turkey and Slovenia

This study addressed an important question about the meaning of corporate social responsibility (CSR), and how it is measured. Based on a comparison of the meaning networks of CSR in two countries with fundamentally different cultural and socioeconomic backgrounds, we argue that there is a need for an institutional perspective when studying CSR associations and expectations in a particular society. Thus empirical study involved the use of three methods the word-association technique, social network analysis, and blockmodeling using Pajek software; to provide deep insight into the structure of CSR associations. The findings suggest that the two societies have diverse collective cognitive structures regarding CSR. In Turkey, the philanthropic understanding of CSR is highly dominant, while the Slovenian social meaning of CSR is multidimensional. The findings point to the social construction of the concept of CSR with implications both for academic research and practice.     

Exploring the value of involving experts-by-experience in social work research: experiences from Slovenia and the UK

The evidence base for the methodological validity of conducting participatory research is becoming established. This article reviews the experiences of two researchers undertaking Ph.D. studies in Slovenia and UK, respectively, and considers the value of involving service users and carers in social work research. The Slovenian research involved user-researchers who developed research tools and undertook qualitative research. The first author explores the co-researchers’ impact on the research process and its outcomes, identifying both individual and collective empowerment of the co-researchers. The English study involved people from diverse backgrounds, who developed a recovery training programme for carers of people with schizophrenia. The second author describes how the steering group, and the carers who participated in the programme were impacted by the research process and experienced a sense of empowerment and how they influenced the development of new knowledge through the reflexive cycle. The authors draw out the commonalities and differences in our research that add to the existing evidence base supporting the development of participatory inquiry. We conclude by affirming the value of user participation in research in leading to the empowerment of users, the development of new research perspectives, and in contributing to theory in social work research and practice.     

The power(lessness) of Czechoslovak Jews during the Second World War

The article evaluates the perceptions of Jewish power among the Czechoslovak exiles in Britain during the Second World War. The analysis documents the apparent persistence of prejudices against the Jewish minority among the Czechoslovak non-Jewish authorities that eventually formed the government-in-exile (1940–5), under the presidency of Edvard Bene? (1884–1948). The Czechoslovak exiles believed that the Jewish minority, in particular the Jewish nationalists (Zionists), had vehement supporters within Jewish circles in Western countries. Furthermore, they believed that the Jewish press played a significant role in the formation of public opinion in Britain and especially in the United States. In the early 1940s, the government-in-exile embarked on a policy of national homogenisation of post-war Czechoslovakia and was anxious to give concessions to the political representatives of the ethnic minority groups in exile, in particular the Germans, Hungarians and Jews. Yet the concerns about Jewish influence in liberal democracies granted several political concessions to the Jewish minority, in particular the appointment of a Zionist representative, Arno?t Frischer (1887–1954), to the exile parliament. This notwithstanding, by analysing the internal situation among the Czechoslovak Jewish groups in London, the article documents the internal weakness and disputes among the Jewish groups which gradually revealed the utter powerlessness of the Jewish exiles during their negotiations with the Czechoslovak authorities. The Jewish groups (the assimilationists, Orthodox and secular nationalists) were divided by mutual as well as internal disputes which were not concealed from outside observers and were utilised by the exile government. What emerges from the analysis is an impression of quarrelling groups that could not agree on any of the fundamental issues and whose only power was the ability to court the support of Western Jewish groups, which were perceived by the non-Jewish exiles as influential actors in US and British society.     

What is mixed in welfare mix? Welfare ideologies at stake in the Lithuanian case of social service delivery

The article deals with the development of social welfare and social services in Lithuania by describing cultural contexts and disclosing evaluations of social service providers and recipients and needs of social service delivery. The authors of the article discuss the changing role of the state, pose a question as to what the institutions and the actors are and to what extent should they participate in the creation of social welfare. One of the aims of this paper is to describe the development of the welfare mix in Lithuania, by showing that welfare is inevitably woven into the historical, economic, political and social context; the distinctive cultural configuration of the welfare mix in social services delivery in Lithuania is revealed. Empirical research (survey of social services recipients and providers) presented in the article discloses that actors of social services delivery experience tension and ambiguity between the demand of neoliberal policy to choose and be responsible and the expectation that the state will participate in the social service market. At the same time social services recipients and providers express a need for different actors to take an active part in the welfare system.     

The humanitarian crisis of migration versus the crisis of humanitarianism: current dimensions and challenges for social work practice*

People who comprise today’s mass migrations are the embodiment of an increasingly hurtful planetary interconnectedness between towering inequalities and hegemonies and human lives. The humanitarian crisis has turned into a fundamental crisis of humanitarianism. The crisis of humanitarianism builds up by the state borders increasingly militarized, equipped with one manner or the other of securitization, seeking to externalize the migrating people. Further, the governments seek to institutionalize and spatially segregate the people, whilst the resident population is subjected to programmatic inciting of racism and xenophobia. Racist eurocentrism pictures the West as democratic, and migrant people as non-democratic; it does not distinguish between individuals and political regimes; does not take into consideration the emergency situations from which they flee: it is thus a form of armed humanitarianism. The Balkan countries which were part of the Balkan Refugee route have become prison countries, custodians of the EU border. They conserve the image of the dangerous Balkans and consolidate Balkanism. A complex social work response includes individual, institutional, curricular, and research levels of reflection and intervention.     

Cross-entropy method for estimation of posterior expectation in Bayesian VAR models

In this article, an importance sampling (IS) method for the posterior expectation of a non linear function in a Bayesian vector autoregressive (VAR) model is developed. Most Bayesian inference problems involve the evaluation of the expectation of a function of interest, usually a non linear function of the model parameters, under the posterior distribution. Non linear functions in Bayesian VAR setting are difficult to estimate and usually require numerical methods for their evaluation. A weighted IS estimator is used for the evaluation of the posterior expectation. With the cross-entropy (CE) approach, the IS density is chosen from a specified family of densities such that the CE distance or the Kullback–Leibler divergence between the optimal IS density and the importance density is minimal. The performance of the proposed algorithm is assessed in an iterated multistep forecasting of US macroeconomic time series.