On the spectral radius of weighted trees with fixed diameter and weight set

AbstractThe spectrum of weighted graphs are often used to solve the problems in the design of networks and electronic circuits. We first give some perturbational results on the spectral radius of weighted graphs when some weights of edges are modified, then we derive the weighted tree with the largest spectral radius in the set of all weighted trees with fixed diameter and weight set. Furthermore, an open problem of spectral radius on weighted paths is solved [H.Z. Yang, G.Z. Hu, Y. Hong, Bounds of spectral radii of weighted tree, Tsinghua Science and Technology 8 (2003) 517–520]

Optical responses in two-dimensional tilted semi-Dirac bands

Within linear response theory, the absorptive part of optical conductivities are analytically calculated for distinct tilts in two-dimensional (2D) tilted semi-Dirac bands (TSDBs). The transverse optical conductivities always vanish $\mathrm{Re}\sigma_{xy}(\omega)=\mathrm{Re}\sigma_{yx}(\omega)=0$. The interband longitudinal optical conductivities (LOCs) in 2D TSDBs differ qualitatively in the power-law scaling of $\omega$ as $\mathrm{Re}\sigma_{xx}^{\mathrm{IB}}(\omega)\propto\sigma_0\sqrt{\omega}$ and $\mathrm{Re}\sigma_{yy}^{\mathrm{IB}}(\omega)\propto\sigma_0/\sqrt{\omega}$. By contrast, the intraband LOCs in 2D TSDBs depend on $\mu$ in the power-law scaling $\mathrm{Re}\sigma_{xx}^{\mathrm{D}}(\omega)\propto\sigma_0\mu \sqrt{\mu}$ and $\mathrm{Re}\sigma_{yy}^{\mathrm{D}}(\omega)\propto\sigma_0\mu/\sqrt{\mu}$. The power-law scaling is similar to that in 2D untilted SDBs but distincts from a uniform behavior independent of $\omega$ (or $\mu$) as $\mathrm{Re}\sigma_{xx/yy}^{\mathrm{IB}}(\omega)\propto\sigma_0$ (or $\mathrm{Re}\sigma_{xx/yy}^{\mathrm{D}}(\omega)\propto\sigma_0\mu$) in 2D tilted Dirac bands (TDBs). The universal power-law scaling further dictates significant differences in the angular dependence of LOCs, which can be used to characterize 2D TSDBs from 2D TDBs in the optical measurements. The tilt-dependent behaviors of LOCs can qualitatively tell 2D TSDBs from 2D untilted SDBs, but show similarities in the impact of band tilting between 2D TSDBs and 2D TDBs.Comment: 16 pages, 3 figure

CC-PSM: A Preference-Aware Selection Model for Cloud Service Based on Consumer Community

In order to give full consideration to the consumer’s personal preference in cloud service selection strategies and improve the credibility of service prediction, a preference-aware cloud service selection model based on consumer community (CC-PSM) is presented in this work. The objective of CC-PSM is to select a service meeting a target consumer’s demands and preference. Firstly, the correlation between cloud consumers from a bipartite network for service selection is mined to compute the preference similarity between them. Secondly, an improved hierarchical clustering algorithm is designed to discover the consumer community with similar preferences so as to form the trusted groups for service recommendation. In the clustering process, a quantization function called community degree is given to evaluate the quality of community structure. Thirdly, a prediction model based on consumer community is built to predict a consumer’s evaluation on an unknown service. The experimental results show that CC-PSM can effectively partition the consumers based on their preferences and has good effectiveness in service selection applications

Multipurpose contrast enhancement on epiphyseal plates and ossification centers for bone age assessment

BACKGROUND: The high variations of background luminance, low contrast and excessively enhanced contrast of hand bone radiograph often impede the bone age assessment rating system in evaluating the degree of epiphyseal plates and ossification centers development. The Global Histogram equalization (GHE) has been the most frequently adopted image contrast enhancement technique but the performance is not satisfying. A brightness and detail preserving histogram equalization method with good contrast enhancement effect has been a goal of much recent research in histogram equalization. Nevertheless, producing a well-balanced histogram equalized radiograph in terms of its brightness preservation, detail preservation and contrast enhancement is deemed to be a daunting task. METHOD: In this paper, we propose a novel framework of histogram equalization with the aim of taking several desirable properties into account, namely the Multipurpose Beta Optimized Bi-Histogram Equalization (MBOBHE). This method performs the histogram optimization separately in both sub-histograms after the segmentation of histogram using an optimized separating point determined based on the regularization function constituted by three components. The result is then assessed by the qualitative and quantitative analysis to evaluate the essential aspects of histogram equalized image using a total of 160 hand radiographs that are implemented in testing and analyses which are acquired from hand bone online database. RESULT: From the qualitative analysis, we found that basic bi-histogram equalizations are not capable of displaying the small features in image due to incorrect selection of separating point by focusing on only certain metric without considering the contrast enhancement and detail preservation. From the quantitative analysis, we found that MBOBHE correlates well with human visual perception, and this improvement shortens the evaluation time taken by inspector in assessing the bone age. CONCLUSIONS: The proposed MBOBHE outperforms other existing methods regarding comprehensive performance of histogram equalization. All the features which are pertinent to bone age assessment are more protruding relative to other methods; this has shorten the required evaluation time in manual bone age assessment using TW method. While the accuracy remains unaffected or slightly better than using unprocessed original image. The holistic properties in terms of brightness preservation, detail preservation and contrast enhancement are simultaneous taken into consideration and thus the visual effect is contributive to manual inspection

Development of a robotic system for automatic organic chemistry synthesis

Automated chemical synthesis carries great promises of safety, efficiency and reproducibility for both research and industry laboratories. Current approaches are based on specifically-designed automation systems, which present two major drawbacks: (i) existing apparatus must be modified to be integrated into the automation systems; (ii) such systems are not flexible and would require substantial re-design to handle new reactions or procedures. In this paper, we propose a system based on a robot arm which, by mimicking the motions of human chemists, is able to perform complex chemical reactions without any modifications to the existing setup used by humans. The system is capable of precise liquid handling, mixing, filtering, and is flexible: new skills and procedures could be added with minimum effort. We show that the robot is able to perform a Michael reaction, reaching a yield of 34%, which is comparable to that obtained by a junior chemist (undergraduate student in Chemistry)

Diethyl 4-(4,5-dihydro­furan-2-yl)-3,5-di­methyl-1-phenyl-1,4-dihydro­pyrazine-2,6-dicarboxyl­ate

In the title compound, C22H26N2O5, the central 1,4-dihydro­pyrazine ring adopts a boat conformation, while the benzene ring and the two disordered components of the furan ring are inclined at angles of 77.9 (5) and 61.9 (7)°. Three of the C atoms of the furan ring are disordered over two positions with occupancies of 0.655 (18) and 0.345 (18). In the crystal structure, weak inter­molecular C—H⋯O hydrogen bonds link the mol­ecules into chains propagating in [010]

Anomalous acoustic plasmons in two-dimensional over-tilted Dirac bands

The over-tilting of type-II Dirac cones has led to various fascinating quantum phenomena. Here we find two anomalous acoustic plasmons (AAPs) are dictated by the distinct geometry of two-dimensional (2D) type-II Dirac cones, far beyond the conventional \text{\ensuremath{\sqrt{q}}} plasmon. One AAP originates from the strong hybridization of two pockets at one Dirac point, whereas the other is attributed to the significant enhancement of the band correlation around the open Fermi surface. Remarkably, the plasmons exhibit valley-dependent chirality along the tilting direction due to the chiral electron dispersion. Meanwhile, we discuss the tunability of plasmon dispersion and lifetime by tuning the gap and dielectric substrate. Our work provides a promising way to generate the novel plasmons in Dirac materials.Comment: 6 pages, 5 figure