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Abstract: A dominating set in a graph $G$ is a set $S$ of vertices such that every vertex in $V(G) \setminus S$ is adjacent to a vertex in $S$. A restrained dominating set of $G$ is a dominating set $S$ with the additional restraint that the graph $G - S$ obtained by removing all vertices in $S$ is isolate-free. The domination number $\gamma(G)$ and the restrained domination number $\gamma_{r}(G)$ are the minimum cardinalities of a dominating set and restrained dominating set, respectively, of $G$. Let $G$ be a cubic graph of order $n$. A classical result of Reed [Combin. Probab. Comput. 5 (1996), 277-295] states that $\gamma(G) \le \frac{3}{8}n$, and this bound is best possible. To determine a best possible upper bound on the restrained domination number of $G$ is more challenging, and we prove that $\gamma_{r}(G) \le \frac{2}{5}n$.
Keywords: domination, restrained domination, cubic graphs
Published in DiRROS: 18.06.2024; Views: 76; Downloads: 62
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Abstract: The article contends that respiratory philosophy has, thus far, laid predominant stress upon the empirical form of breathing, as opposed to the transcendental; or at least it has used breath precisely as an occasion to elide or deconstruct this very opposition. Breath is then conceived primarily as material, bodily, and natural: as binding us together with the animals and with all living things.and yet this apparently benign ecological gesture is not without its deleterious side-effects: by contrasting this gesture with a more humanistic and transcendental conception of breath, inspired by Giorgio agamben’s work on the voice, we might begin to gain some clarity as to the jarring contrast that sprang up between the friendly valorisation of a shared con-spiration that has characterised this young philosophy up to now, and the intense, even violent, hostility to the breath of the other which the developed world exhibited from at least 2020 to 2022.We consider whether an overly empiricistic conception of breath and of the human might have played a part in this reversal of values. In conclusion, the article urges upon us a certain turn towards the transcendental form of the breath, and indeed to a certain human exceptionalism in this regard.
Keywords: Agamben, language, voice, breath, animal, human, humanism, transcendental, empirical, masks, stifling, identity, invisibility, virus, pandemic
Published in DiRROS: 14.05.2024; Views: 188; Downloads: 183
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Abstract: Aims We introduce ReSurveyEurope — a new data source of resurveyed vegetation plots in Europe, compiled by a collaborative network of vegetation scientists. We describe the scope of this initiative, provide an overview of currently available data, governance, data contribution rules, and accessibility. In addition, we outline further steps, including potential research questions. Results ReSurveyEurope includes resurveyed vegetation plots from all habitats. Version 1.0 of ReSurveyEurope contains 283,135 observations (i.e., individual surveys of each plot) from 79,190 plots sampled in 449 independent resurvey projects. Of these, 62,139 (78%) are permanent plots, that is, marked in situ, or located with GPS, which allow for high spatial accuracy in resurvey. The remaining 17,051 (22%) plots are from studies in which plots from the initial survey could not be exactly relocated. Four data sets, which together account for 28,470 (36%) plots, provide only presence/absence information on plant species, while the remaining 50,720 (64%) plots contain abundance information (e.g., percentage cover or cover–abundance classes such as variants of the Braun-Blanquet scale). The oldest plots were sampled in 1911 in the Swiss Alps, while most plots were sampled between 1950 and 2020. Conclusions ReSurveyEurope is a new resource to address a wide range of research questions on fine-scale changes in European vegetation. The initiative is devoted to an inclusive and transparent governance and data usage approach, based on slightly adapted rules of the well-established European Vegetation Archive (EVA). ReSurveyEurope data are ready for use, and proposals for analyses of the data set can be submitted at any time to the coordinators. Still, further data contributions are highly welcome.
Keywords: biodiversity, monitoring, species richness, vascular plants, vegetation dynamics
Published in DiRROS: 23.04.2024; Views: 243; Downloads: 102
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Abstract: A reliable determination of the embedment strength and foundation modulus of timber elements is critical for the design and safety assessment of joints in timber structures. However, the existence of various test configurations for characterising the embedding properties of large diameter steel fasteners in timber elements poses challenges in directly comparing and utilising available test data. This paper aims to provide an insight into the influence of embedment property test methods, comparing experimental results from different test setups within the guidelines of the EN 383 and ASTM D 5764-97a standards for European softwood species, Scots pine wood (Pinus sylvestris) and Norway spruce (Picea abies). In addition to the test guidelines, the thickness of the specimen and the application of the load was evaluated within the protocols. A comprehensive statistical analysis was performed to identify statistically significant differences between the groups evaluated. The results of the analysis revealed disagreement between the standards in the evaluation of the strength of the embedding, highlighting the potential bias inserted by the experimental setup and protocol. Furthermore, it was proven that the thickness of the specimens influences both the embedding strength and the foundation modulus of the wood species tested. Finally, no distinctions were observed between tensile and compressive loading within the guidelines of the EN 383 standard.
Keywords: embedment strength, foundation modulus, dowel-type connections, test methods
Published in DiRROS: 15.04.2024; Views: 221; Downloads: 112
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Keywords: inverse eigenvalue problem, minimum number of distinct eigenvalues, borderings, joins of graphs, paths, cycles, hypercubes
Published in DiRROS: 18.03.2024; Views: 226; Downloads: 130
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