Minor stars in plane graphs with minimum degree five

The weight of a subgraph $H$ in $G$ is the sum of the degrees in $G$ of vertices of $H$. The {\em height} of a subgraph $H$ in $G$ is the maximum degree of vertices of $H$ in $G$. A star in a given graph is minor if its center has degree at most five in the given graph. Lebesgue (1940) gave an approximate description of minor $5$-stars in the class of normal plane maps with minimum degree five. In this paper, we give two descriptions of minor $5$-stars in plane graphs with minimum degree five. By these descriptions, we can extend several results and give some new results on the weight and height for some special plane graphs with minimum degree five.Comment: 11 pages, 3 figure

DEVELOPMENT OF NEURAL AND BEHAVIORAL INHIBITORY CONTROL DURING ADOLESCENCE: THE INTEGRATIVE EFFECTS OF FAMILY SOCIOECONOMIC STATUS AND PARENTING BEHAVIORS

Inhibitory control (IC) has drawn great attention from researchers and practitioners and the concurrent association between family socioeconomic status and IC in adolescence is well-documented. However, little is known about whether and how family socioeconomic status influence the individual differences in the development of adolescent IC. The current investigation aimed to address this gap in knowledge by employing two multiple-wave longitudinal studies of IC. In the early adolescent sample (N = 311), color-word Stroop task performance was assessed as a measure of IC when individuals were 10 and 13 years old. In the middle adolescent sample (N = 167), multisource interference task performance and corresponding neural activities were assessed as measures of IC, annually for four years from 14 to 17 years of age. Family socioeconomic status and three dimensions of parenting behaviors were measured through informant-rating surveys in both studies. In both samples, the longitudinal development of IC was examined first. Next, the direct and indirect effects of earlier vii family socioeconomic status on the development of IC via different parenting behaviors was studied. Also, the independent and interactive associations between family socioeconomic status and several parenting behaviors in the prediction of adolescent IC were examined. Results across these two studies revealed that IC continued to improve through adolescence. In the early adolescent sample study, family socioeconomic status showed significant indirect effects on behavioral IC via its influences on parenting behaviors--especially parental warmth and parental negativity. In the middle adolescent sample study, the interactive effects of family socioeconomic status and parenting behaviors were significant in predicting neural functioning related to IC. The association between family socioeconomic status and the intercept of neural correlates of IC was significant only among families with low parental warmth, high parental rejection and low parental monitoring. The current investigation extended the prior literature in systematically testing the longitudinal associations between family socioeconomic status, parenting behaviors and the development of behavioral and neural functioning of IC during adolescence. Implications of the current study for prevention and intervention were also discussed

Behavioral and pharmacological validation of an integrated fear-potentiated startle and prepulse inhibition paradigm

Fear-potentiated startle (FPS) and prepulse inhibition (PPI) of acoustic startle are two widely used paradigms specifically designed to capture the impact of negative emotion (e.g. fear) and preattentive function on startle response. Currently, there is no single paradigm that incorporates both FPS and PPI, making it impossible to examine the potential interactions between fear and attention in the regulation of startle response. In this study, we developed an integrated FPS and PPI test protocol and validated it with psychoactive drugs. In Experiment 1, male Sprague-Dawley rats were randomly assigned to one of five groups, receiving either Light -Shock conditioning trials, non-overlapping Lights and Shocks, Light alone, Shock alone, or no Light and Shock. They were then tested for startle response and PPI concurrently, under the Light or No Light. FPS was observed only in rats subjected to fear conditioning, whereas all rats showed PPI and startle habituation. Experiment 2 used this paradigm and demonstrated a dissociative effect between diazepam (an anxiolytic drug) and phencyclidine (a nonselective NMDA receptor antagonist) on FPS and PPI. Diazepam suppressed both FPS and PPI, while PCP selectively disrupted PPI but not FPS. The diazepam’s anxiolytic effect on FPS was further confirmed in the elevated plus-maze test. Together, our findings indicate that our paradigm combines FPS and PPI into a single paradigm, and that is useful to examine potential interactions between multiple psychological processes, to identify the common neural substrates and to screen new drugs with multiple psychoactive effects

Modeling Quantum Entanglements in Quantum Language Models

Recently, a Quantum Language Model (QLM) was proposed to model term dependencies upon Quantum Theory (QT) framework and successively applied in Information Retrieval (IR). Nevertheless, QLM's dependency is based on co-occurrences of terms and has not yet taken into account the Quantum Entanglement (QE), which is a key quantum concept and has a significant cognitive implication. In QT, an entangled state can provide a more complete description for the nature of realities, and determine intrinsic correlations of considered objects globally, rather than those co-occurrences on the surface. It is, however, a real challenge to decide and measure QE using the classical statistics of texts in a post-measurement configuration. In order to circumvent this problem, we theoretically prove the connection between QE and statistically Unconditional Pure Dependence (UPD). Since UPD has an implementable deciding algorithm, we can in turn characterize QE by extracting the UPD patterns from texts. This leads to a measurable QE, based on which we further advance the existing QLM framework. We empirically compare our model with related models, and the results demonstrate the effectiveness of our model

Characterization of ovarian clear cell carcinoma using target drug-based molecular biomarkers: implications for personalized cancer therapy

Information of antibodies used in immunohistochemistry. Table S2A. Relationship with clinicopathological factors-HGSC. Table S2B. Relationship with clinicopathological factors-CCC. Table S3 Association molecular biomarkers expression and platinum-based chemotherapeutic response. Table S4. Comparison of molecular biomarkers between recurrent and disease-free patients. (DOCX 42 kb

A memristive non-smooth dynamical system with coexistence of bimodule periodic oscillation

© 2022 Elsevier GmbH. All rights reserved. This is the accepted manuscript version of an article which has been published in final form at https://doi.org/10.1016/j.aeue.2022.154279In order to explore the bursting oscillations and the formation mechanism of memristive non-smooth systems, a third-order memristor model and an external periodic excitation are introduced into a non-smooth dynamical system, and a novel 4D memristive non-smooth system with two-timescale is established. The system is divided into two different subsystems by a non-smooth interface, which can be used to simulate the scenario where a memristor encounters a non-smooth circuit in practical application circuits. Three different bursting patterns and bifurcation mechanisms are analyzed with the time series, the corresponding phase portraits, the equilibrium bifurcation diagrams, and the transformed phase portraits. It is pointed that not only the stability of the equilibrium trajectory but also the non-smooth interface may influence the bursting phenomenon, resulting in the sudden jumping of the trajectory and non-smooth bifurcation at the non-smooth interface. In particular, the coexistence of bimodule periodic oscillations at the non-smooth interface can be observed in this system. Finally, the correctness of the theoretical analysis is well verified by the numerical simulation and Multisim circuit simulation. This paper is of great significance for the future analysis and engineering application of the memristor in non-smooth circuits.Peer reviewe