Tree-width and dimension

Over the last 30 years, researchers have investigated connections between dimension for posets and planarity for graphs. Here we extend this line of research to the structural graph theory parameter tree-width by proving that the dimension of a finite poset is bounded in terms of its height and the tree-width of its cover graph.Comment: Updates on solutions of problems and on bibliograph

Controlling the effective mass of quantum well states in Pb/Si(111) by interface engineering

The in-plane effective mass of quantum well states in thin Pb films on a Bi reconstructed Si(111) surface is studied by angle-resolved photoemission spectroscopy. It is found that this effective mass is a factor of three lower than the unusually high values reported for Pb films grown on a Pb reconstructed Si(111) surface. Through a quantitative low-energy electron diffraction analysis the change in effective mass as a function of coverage and for the different interfaces is linked to a change of around 2% in the in-plane lattice constant. To corroborate this correlation, density functional theory calculations were performed on freestanding Pb slabs with different in-plane lattice constants. These calculations show an anomalous dependence of the effective mass on the lattice constant including a change of sign for values close to the lattice constant of Si(111). This unexpected relation is due to a combination of reduced orbital overlap of the 6p_z states and altered hybridization between the 6p_z and 6p_xy derived quantum well states. Furthermore it is shown by core level spectroscopy that the Pb films are structurally and temporally stable at temperatures below 100 K.Comment: 7 pages, 6 figure

Mapping of 2+1-dimensional Kardar-Parisi-Zhang growth onto a driven lattice gas model of dimer

We show that a 2+1 dimensional discrete surface growth model exhibiting Kardar-Parisi-Zhang (KPZ) class scaling can be mapped onto a two dimensional conserved lattice gas model of directed dimers. In case of KPZ height anisotropy the dimers follow driven diffusive motion. We confirm by numerical simulations that the scaling exponents of the dimer model are in agreement with those of the 2+1 dimensional KPZ class. This opens up the possibility of analyzing growth models via reaction-diffusion models, which allow much more efficient computer simulations.Comment: 5 pages, 4 figures, final form to appear in PR

The Role of Polyphenols, β-Carotene, and Lycopene in the Antioxidative Action of the Extracts of Dried, Edible Mushrooms

One of the nutritional benefits of mushrooms is the presence of bioactive secondary metabolites which have been reported to exert various beneficial effects in vivo. Therefore, we selected thirteen frequently consumed species of Polish mushrooms and determined the concentration of polyphenols, flavonoids, β-carotene, and lycopene in aqueous and methanolic extracts of dried fruiting bodies as well as their reducing power and ability to scavenge ABTS cation radical. We found that the concentration of antioxidants is different in different species and in various parts of the fruiting body of mushrooms. We observed a strong correlation (r > 0.9) between the concentration of total phenolics and reducing power/scavenging effects in both aqueous and methanolic extracts, while this correlation was moderate for flavonoids. Beta-carotene did not contribute discernibly to the antioxidative properties of the extracts, while lycopene had a significant contribution to the scavenging activity of methanolic mushroom extracts

External Potential Modifies Friction of Molecular Solutes in Water

Stokes’s law for the friction of a sphere in water has been argued to work down to molecular scales, provided the effective hydrodynamic radius includes the hydration layer. In interpretations of experiments and in theoretical models, it is tacitly assumed that the solvent friction experienced by a solute does not depend on whether an external confinement potential acts on the solute. Using a novel method to extract the friction memory function from molecular dynamics simulations, we show that the solvent friction of a strongly harmonically confined methane molecule in water increases by 60% compared to its free-solution value, which is caused by an amplification of the slowest component of the memory function. The friction enhancement occurs for potential strengths typical of physical and chemical bonds and is accompanied by a significant slowing-down of the hydration water dynamics. Thus, the solvent friction acting on molecular solutes is not determined by solvent properties and solute-solvent interactions alone but results from the coupling between solute and solvent dynamics and thereby can be tuned by an external potential acting on the solute. This also explains why simulations of positionally constrained solutes do not reproduce free-solution diffusivities. Dynamic scaling arguments suggest similar effects also for macromolecular solutes provided the solution viscosity is sufficiently enhanced

Using reduced representation libraries sequencing methods to identify cpDNA polymorphisms in European beech (Fagus sylvatica L)

Reduced representation genomic libraries (RRLs) are increasingly used to answer diverse questions in evolutionary biology, which remained unresolved otherwise. In the case of European beech (Fagus sylvatica L.), former applications of nuclear and chloroplast genetic markers indicated that most of the beech populations of Central, Eastern, and Northern Europe have a very homogeneous genetic structure. Thus, determining differentiation among populations of F. sylvatica at regional scale in Central Europe has remained a challenge for evolutionary biologists, mainly due to lack of variable genetic markers. In this study, we used the RAD-seq and GBS approaches to identify novel cpDNA polymorphisms that could be helpful to identify population structure of European beech at geographical scale. Our datasets allowed us to indicate a finer population structure and stronger patterns of spatial genetic structure than previous studies. It is expected that the applications of cpDNA-based phylogenetic approaches using whole-genome sequencing are able to provide even more detailed picture of species phylogeography than ever before

Recognizing the Similarities and Appreciating the Differences?:Content Choices and Perceived (Dis)similarity With TV Show Characters Among Youth

Original content on video-on-demand platforms is often globally available but reflects the diversity of the American population in terms of ethnicities, races, and sexual identities. According to previous research, exposure to media with diverse characters can improve viewers’ attitudes toward minorities. However, are the audiences in racially homogenous countries or in countries that are less accepting of homosexuality interested in shows with diverse characters? Moreover, how do people select content from the diverse offerings on global video-on-demand platforms? To explore these issues, we study the entertainment media diets of Polish teenagers, aged 15–18. Specifically, we examine three research questions. First, what kind of content does the Polish youth select on streaming platforms? Second, what is the role of (dis)similarity between the characters and the viewers for Polish youth in selecting their entertainment TV shows on streaming platforms? Third, how do Polish youth understand the possible effects of their streamed TV content on their attitudes toward others? Based on 20 one-hour-long semi-structured interviews, we found that viewers sought psychologically complex and attractive characters, irrespective of race or sexual orientation. Recognizing the similarities of life experiences with TV characters mattered in youth’s decision about streaming content. Viewers also appreciated characters different from themselves because they were able to learn about them. The results are discussed with the implications for media selection and effects studies.</p