Universal Layered Permutations

We establish an exact formula for the length of the shortest permutation containing all layered permutations of length n, proving a conjecture of Gray

'A true partner around the table?' Perceptions of how to strengthen public health's contributions to the alcohol licensing process

Introduction: There are increased opportunities for public health practitioners (PHPs) in England to shape alcohol availability and reduce harms through a statutory role in licensing processes in local government. However, how public health can effectively influence alcohol licence decision-making is little understood. Methods: A mixed methods study was conducted to identify challenges faced by PHPs and mechanisms to strengthen their role. This involved a survey of practitioners across London local authorities (n = 18) and four focus group discussions with a range of licensing stakeholders (n = 36). Results: Survey results indicated a varied picture of workload, capacity to respond to licence applications and levels of influence over decision-making among PHPs in London. Practitioners described a felt lack of status within the licence process, and difficulties using and communicating public health evidence effectively, without a health licensing objective. Strategies considered supportive included engaging with other responsible authorities and developing understanding and relationships over time. Conclusions: Against political and resource constraints at local and national government levels, pragmatic approaches for strengthening public health influence over alcohol licensing are required, including promoting relationships between stakeholders and offering opportunities for PHPs to share best practice about making effective contributions to licensing

Atopic dermatitis and food sensitization in South African toddlers: Role of fiber and gut microbiota

The pathogenesis of atopic dermatitis (AD) is complex and related to allergic responses and defects in skin barrier function. In common with many atopic diseases, the prevalence of AD has been increasing across the world.1 One of the theories for this increase is increased hygiene and urbanization-related changes in the environment, which can affect the human microbiome.2 Previous studies have found associations between the composition of the early gut microbiome and development of atopic conditions, including AD.3 Although the rate of atopic conditions, including AD and food allergy, is increasing on all continents, the prevalence of these diseases is still lower in African countries.1 This is especially interesting because individuals of African origin who live in Western countries, such as African Americans, are at a higher risk for severe AD.4 This variation places Africa in a special position; studying African populations is necessary not only to find ways to prevent increases of allergy conditions in African countries but also to provide important clues to the causes of this global increasing of allergic conditions. Young children who have developed AD in African communities with a low incidence of atopic disease might be the transitional group. In the current study, we have, for the first time to our knowledge, analyzed the fecal microbiota composition of a group of young black African children aged 12 to 36 months old with and without AD living in the same community in Cape Town, South Africa. Our primary goal was to examine whether toddlers with AD and control toddlers from Cape Town have different microbiomes in terms of bacterial richness and diversity. We also aimed to investigate the differences in the relative abundance for different operational taxonomic units between these 2 groups. In our subgroup analyses, we further tested the effect of multiple environmental factors on the gut microbiome in these children

Cognitive facilitation following intentional odor exposure

This paper reviews evidence that, in addition to incidental olfactory pollutants, intentional odor delivery can impact cognitive operations both positively and negatively. Evidence for cognitive facilitation/interference is reviewed alongside four potential explanations for odor-induced effects. It is concluded that the pharmacological properties of odors can induce changes in cognition. However, these effects can be accentuated/attenuated by the shift in mood following odor exposure, expectancy of cognitive effects, and cues to behavior via the contextual association with the odor. It is proposed that greater consideration is required in the intentional utilization of odors within both industrial and private locations, since differential effects are observed for odors with positive hedonic qualities

A Counterexample Regarding Labelled Well-Quasi-Ordering

Korpelainen, Lozin, and Razgon conjectured that a hereditary property of graphs which is well-quasi-ordered by the induced subgraph order and defined by only finitely many minimal forbidden induced subgraphs is labelled well-quasi-ordered, a notion stronger than that of n-well-quasi-order introduced by Pouzet in the 1970s. We present a counterexample to this conjecture. In fact, we exhibit a hereditary property of graphs which is well-quasi-ordered by the induced subgraph order and defined by finitely many minimal forbidden induced subgraphs yet is not 2-well-quasi-ordered. This counterexample is based on the widdershins spiral, which has received some study in the area of permutation patterns