Tutte polynomial of a small-world farey graph

In this paper, we find recursive formulas for the Tutte polynomial of a family of small-world networks: Farey graphs, which are modular and have an exponential degree hierarchy. Then, making use of these formulas, we determine the number of spanning trees, as well as the number of connected spanning subgraphs. Furthermore, we also derive exact expressions for the chromatic polynomial and the reliability polynomial of these graphs.Comment: 6 page

Investigation on the Plasma-Induced Emission Properties of Large Area Carbon Nanotube Array Cathodes with Different Morphologies

Large area well-aligned carbon nanotube (CNT) arrays with different morphologies were synthesized by using a chemical vapor deposition. The plasma-induced emission properties of CNT array cathodes with different morphologies were investigated. The ratio of CNT height to CNT-to-CNT distance has considerable effects on their plasma-induced emission properties. As the ratio increases, emission currents of CNT array cathodes decrease due to screening effects. Under the pulse electric field of about 6 V/μm, high-intensity electron beams of 170–180 A/cm2 were emitted from the surface plasma. The production mechanism of the high-intensity electron beams emitted from the CNT arrays was plasma-induced emission. Moreover, the distribution of the electron beams was in situ characterized by the light emission from the surface plasma

Spectra of generalized windmill networks: Analytical solutions and applications

The generalized windmill graphs are good models for many real-world networks. In this paper, we obtain analytic expressions for the eigenvalues of the adjacency matrices and of the Laplacian matrices of the generalized windmill graphs. Using this information, we study some structural and dynamical properties of these graphs. To the end, we investigate the metro networks of four France cities and propose our suggestions for the planning of public transport networks

Optimal networks for exact controllability

The exact controllability can be mapped to the problem of maximum algebraic multiplicity of all eigenvalues. In this paper, we focus on the exact controllability of deterministic complex networks. First, we explore the eigenvalues of two famous networks, i.e. the comb-of-comb network and the Farey graph. Due to their special structure, we find that the eigenvalues of each network are mutually distinct, showing that these two networks are optimal networks with respect to exact controllability. Second, we study how to optimize the exact controllability of a deterministic network. Based on the spectral graph theory, we find that reducing the order of duplicate sets or co-duplicate sets which are two special vertex subsets can decrease greatly the exact controllability. This result provides an answer to an open problem of Li et al. [X. F. Li, Z. M. Lu and H. Li, Int. J. Mod. Phys. C 26, 1550028 (2015)]. Finally, we discuss the relation between the topological structure and the multiplicity of two special eigenvalues and the computational complexity of our method

Identification of Genes and Pathways Associated with Kidney Ischemia-Reperfusion Injury by Bioinformatics Analyses

Background/Aims: Ischemia-reperfusion (IR) injury in the kidney is a major cause of acute kidney injury in humans. However, the molecular mechanisms responsible for the progression of kidney IR injury still need to be explored. In this study, we aimed to explore the underlying genes and pathways associated with kidney IR injury. Methods: Gene microarray of GSE27274 was downloaded from the Gene Expression Omnibus database. The differentially expressed genes (DEGs) between kidney IR injury and kidney IR rat samples were analyzed. Gene Ontology biological process (BP) and pathway enrichment analyses of DEGs were performed, followed by protein-protein interaction (PPI) network construction. Results: A total of 88 up-regulated and 102 down-regulated DEGs were identified. The up-regulated DEGs including FK506 binding protein 1A (Fkb1a) were mainly enriched in biological processes (BPs) related to protein ubiquitination. The down-regulated DEGs including complement component 5 (C5) were enriched in complement and coagulation cascades pathway. Choline phosphotransferase 1 (Chpt1) was enriched in glycerophospholipid metabolism pathway. In the PPI network, heme oxygenase (decycling) 1 (Hmox1) was as a hub gene that interacted with the maximum nodes. Conclusions: DEGs of Fkb1a, C5, Chpt1, and Hmox1, as well as complement and coagulation cascades pathway, glycerophospholipid metabolism pathway, and BP terms related to protein ubiquitinatione may be the potential targets for diagnosis and treatment of kidney IR injury

Association between total bilirubin/Albumin ratio and all-cause mortality in acute kidney injury patients: A retrospective cohort study.

BackgroundThe association between the total bilirubin/albumin (B/A) and the all-cause mortality of critically ill patients with acute kidney injury (AKI) remains unclear. This retrospective study aimed to investigate the relationship between B/A ratio and mortality in patients with AKI.MethodsThe clinical data of AKI patients in the Medical Information Mart for Intensive Care III (MIMIC-III) database were retrospectively analyzed. Patients were divided into the low and high B/A groups (B/A ≤ 0.25 and B/A > 0.25, respectively). The primary outcome was 28-day all-cause mortality, and the secondary outcomes were 60-day, 1-year and 4-year all-cause mortality. Kaplan-Meier survival curves and Cox proportional risk models were constructed to evaluate the effect of B/A on survival outcomes.ResultsThe 28-day mortality rates were 18.00% and 25.10% in the low and high B/A groups, respectively (P ConclusionB/A is an independent risk factor for increased mortality in patients with AKI and may be used as a predictor of clinical outcomes in AKI

Investigation on the Plasma-Induced Emission Properties of Large Area Carbon Nanotube Array Cathodes with Different Morphologies

Abstract Large area well-aligned carbon nanotube (CNT) arrays with different morphologies were synthesized by using a chemical vapor deposition. The plasma-induced emission properties of CNT array cathodes with different morphologies were investigated. The ratio of CNT height to CNT-to-CNT distance has considerable effects on their plasma-induced emission properties. As the ratio increases, emission currents of CNT array cathodes decrease due to screening effects. Under the pulse electric field of about 6 V/&#956;m, high-intensity electron beams of 170&#8211;180 A/cm2 were emitted from the surface plasma. The production mechanism of the high-intensity electron beams emitted from the CNT arrays was plasma-induced emission. Moreover, the distribution of the electron beams was in situ characterized by the light emission from the surface plasma.</p