A graph G is said to be ≼-ubiquitous, where ≼ is the minor relation between graphs, if whenever Γ is a graph with nG≼Γ for all n∈N, then one also has ℵ0G≼Γ, where αG is the disjoint union of α many copies of G. A well-known conjecture of Andreae is that every locally finite connected graph is ≼-ubiquitous. In this paper we give a sufficient condition on the structure of the ends of a graph G which implies that G is ≼-ubiquitous. In particular this implies that the full-grid is ≼-ubiquitous.

The phylum Pseudomonadota is amongst the most represented in the environment, with a comparatively lower prevalence in the human oral cavity. The ubiquity of Pseudomonadota and the fact that the oral cavity is the most likely entry portal of bacteria from external sources underlie the need to better understand its occurrence in the interface environment-humans. Yet, the relevance oral Pseudomonadota is largely underexplored in the scientific literature, a gap that this review aims at addressing by making, for the first time, an overview of the diversity and ecology of Pseudomonadota in the oral cavity. The screening of scientific literature and human microbiome databases unveiled 1328 reports of Pseudomonadota in the oral cavity. Most of these belonged to the classes Beta- and Gammaproteobacteria, mainly to the families Neisseriaceae, Campylobacteriaceae, and Pasteurelaceae. Others also regularly reported include genera such as Enterobacter, Klebsiella, Acinetobacter, Escherichia, Burkholderia, or Citrobacter, whose members have high potential to acquire virulence and antibiotic resistance genes. This review provides evidence that clinically relevant environmental Pseudomonadota may colonize humans via oral cavity. The need for further investigation about Pseudomonadota at the environment-oral cavity interface and their role as vectors potentially involved in virulence and antibiotic resistance transmission is demonstrated. KEY POINTS: • Neisseriaceae, Campylobacteriaceae, and Pasteurelaceae are part of the core oral microbiome • Enterobacteriaceae, Acinetobacter, or Burkholderia are frequent in the oral microbiome • Gut dysbiosis may be associated with colonization by ubiquitous oral Pseudomonadota.

Most articles and theories about borderline personality disorder (BPD), either in the psychoanalytical field or the cognitivist one, explicitly or implicitly inscribe themselves in a topographical framework that either carry a fundamental representational a priori or give prominence to causal explanations. Less is written about the phenomenological everyday life-world of borderline people. This article aims to contribute to the description of such a world. Drawing upon clinical sequences that give prominence to the first-person perspective, we will analyse the experience of some typical \"symptoms\" of BPD in a phenomenological and topological way. We will be led to conclude that the borderline stimmung seems to display the following characteristics: a pervading immediacy of lived experience, a territorialization that tends towards ubiquity, a certain difficulty to deal with the unity and difference poles, a quite horizontal concern with ecstasy and elation, and a waning of reflexivity in the lived space.

Ubiquity (devices becoming part of the context) and transparency (devices not interfering with daily activities) are very significant in healthcare monitoring applications for elders. The present study undertakes a scoping review to map the literature on sensor-based unobtrusive monitoring of older adults\' frailty. We aim to determine what types of devices comply with unobtrusiveness requirements, which frailty markers have been unobtrusively assessed, which unsupervised devices have been tested, the relationships between sensor outcomes and frailty markers, and which devices can assess multiple markers. SCOPUS, PUBMED, and Web of Science were used to identify papers published 2010-2020. We selected 67 documents involving non-hospitalized older adults (65+ y.o.) and assessing frailty level or some specific frailty-marker with some sensor. Among the nine types of body worn sensors, only inertial measurement units (IMUs) on the waist and wrist-worn sensors comply with ubiquity. The former can transparently assess all variables but weight loss. Wrist-worn devices have not been tested in unsupervised conditions. Unsupervised presence detectors can predict frailty, slowness, performance, and physical activity. Waist IMUs and presence detectors are the most promising candidates for unobtrusive and unsupervised monitoring of frailty. Further research is necessary to give specific predictions of frailty level with unsupervised waist IMUs.

Social media users often experience the difficulty of controlling their social media use while having important tasks to do. Recent theorizing on self-control and media use proposes four possible factors (immediate gratifications, habitual checking, ubiquity, and notifications) that might cause social media self-control failure (SMSCF). We tested whether these factors indeed predict SMSCF among 590 daily social media users. Results showed that, when people checked social media habitually, or strongly experienced the online ubiquity of social media, or perceived strong disturbances from social media notifications, they were more likely to fail to control their social media use. However, social media-related immediate gratifications did not predict SMSCF. This study empirically identified social media-related factors that might induce social media users\' self-control difficulty.