1,160 research outputs found

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    The zero forcing polynomial of a graph

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    Zero forcing is an iterative graph coloring process, where given a set of initially colored vertices, a colored vertex with a single uncolored neighbor causes that neighbor to become colored. A zero forcing set is a set of initially colored vertices which causes the entire graph to eventually become colored. In this paper, we study the counting problem associated with zero forcing. We introduce the zero forcing polynomial of a graph GG of order nn as the polynomial Z(G;x)=∑i=1nz(G;i)xi\mathcal{Z}(G;x)=\sum_{i=1}^n z(G;i) x^i, where z(G;i)z(G;i) is the number of zero forcing sets of GG of size ii. We characterize the extremal coefficients of Z(G;x)\mathcal{Z}(G;x), derive closed form expressions for the zero forcing polynomials of several families of graphs, and explore various structural properties of Z(G;x)\mathcal{Z}(G;x), including multiplicativity, unimodality, and uniqueness.Comment: 23 page

    Quantifying Near-Threshold CMOS Circuit Robustness

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    In order to build energy efficient digital CMOS circuits, the supply voltage must be reduced to near-threshold. Problematically, due to random parameter variation, supply scaling reduces circuit robustness to noise. Moreover, the effects of parameter variation worsen as device dimensions diminish, further reducing robustness, and making parameter variation one of the most significant hurdles to continued CMOS scaling. This paper presents a new metric to quantify circuit robustness with respect to variation and noise along with an efficient method of calculation. The method relies on the statistical analysis of standard cells and memories resulting an an extremely compact representation of robustness data. With this metric and method of calculation, circuit robustness can be included alongside energy, delay, and area during circuit design and optimization

    Dual diagnosis anonymous (DDA) and the transition to online support during COVID-19

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    Abstract: The COVID-19 pandemic has been particularly challenging for individuals with concurrent mental health and addiction problems. Like other mutual aid groups, Dual Diagnosis Anonymous (DDA) of Oregon in the US and DDA-UK were forced to suspend face to face meetings during the pandemic. To continue to support its members, DDA began offering online meetings. Objectives: this study explored attendees’ perceived effectiveness, strengths, and limitations of online support within the context of the pandemic. Methods: A total of 92 DDA members from the US (n = 71) and the UK (n = 18) completed an online survey, which included quantitative scales and open questions. Feelings of inclusion in online versus in-person meetings were assessed using an adaptation of the Work Group Inclusion Test (Chung et al., 2020). A supplementary interview was conducted with a DDA facilitator. The open survey questions and the interview were independently thematically analyzed by two investigators. Results: Attendance of meetings significantly increased after the introduction of online meetings (p < 0.001). Approximately half of the participants (51.09%) indicated that DDA online support was the most helpful form of support they received during lockdown; 98.77% of participants agreed that online support should continue after the lockdown. There was no significant difference regarding feelings of inclusion in online versus in-person meetings. Conclusions: Online meetings allowed DDA to go global and provided effective support to people with complex needs during the COVID-19 lockdown. Participants experienced a continuity of inclusion and accessibility due to the online provision. Implications: It is suggested that going forward, online support should continue alongside traditional face to face meetings due to its potential to increase convenience, accessibility, and inclusivity

    A Necessary and Sufficient Timing Assumption for Speed-Independent Circuits

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    This paper presents a proof that the adversary path timing assumption is both necessary and sufficient for correct SI circuit operation. This assumption requires that the delay of a wire on one branch of a fork be less than the delay through a gate sequence beginning at another branch in the same fork. Both the definition of the timing assumption and the proof build on a general, formal notion of computation given with respect to production rule sets. This underlying framework can be used for a variety of proof efforts or as a basis for defining other useful notions involving asynchronous computation

    Anticoagulant rodenticides on our public and community lands: spatial distribution of exposure and poisoning of a rare forest carnivore.

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    Anticoagulant rodenticide (AR) poisoning has emerged as a significant concern for conservation and management of non-target wildlife. The purpose for these toxicants is to suppress pest populations in agricultural or urban settings. The potential of direct and indirect exposures and illicit use of ARs on public and community forest lands have recently raised concern for fishers (Martes pennanti), a candidate for listing under the federal Endangered Species Act in the Pacific states. In an investigation of threats to fisher population persistence in the two isolated California populations, we investigate the magnitude of this previously undocumented threat to fishers, we tested 58 carcasses for the presence and quantification of ARs, conducted spatial analysis of exposed fishers in an effort to identify potential point sources of AR, and identified fishers that died directly due to AR poisoning. We found 46 of 58 (79%) fishers exposed to an AR with 96% of those individuals having been exposed to one or more second-generation AR compounds. No spatial clustering of AR exposure was detected and the spatial distribution of exposure suggests that AR contamination is widespread within the fisher's range in California, which encompasses mostly public forest and park lands Additionally, we diagnosed four fisher deaths, including a lactating female, that were directly attributed to AR toxicosis and documented the first neonatal or milk transfer of an AR to an altricial fisher kit. These ARs, which some are acutely toxic, pose both a direct mortality or fitness risk to fishers, and a significant indirect risk to these isolated populations. Future research should be directed towards investigating risks to prey populations fishers are dependent on, exposure in other rare forest carnivores, and potential AR point sources such as illegal marijuana cultivation in the range of fishers on California public lands

    Patterns of Natural and Human-Caused Mortality Factors of a Rare Forest Carnivore, the Fisher (Pekania pennanti) in California.

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    Wildlife populations of conservation concern are limited in distribution, population size and persistence by various factors, including mortality. The fisher (Pekania pennanti), a North American mid-sized carnivore whose range in the western Pacific United States has retracted considerably in the past century, was proposed for threatened status protection in late 2014 under the United States Endangered Species Act by the United States Fish and Wildlife Service in its West Coast Distinct Population Segment. We investigated mortality in 167 fishers from two genetically and geographically distinct sub-populations in California within this West Coast Distinct Population Segment using a combination of gross necropsy, histology, toxicology and molecular methods. Overall, predation (70%), natural disease (16%), toxicant poisoning (10%) and, less commonly, vehicular strike (2%) and other anthropogenic causes (2%) were causes of mortality observed. We documented both an increase in mortality to (57% increase) and exposure (6%) from pesticides in fishers in just the past three years, highlighting further that toxicants from marijuana cultivation still pose a threat. Additionally, exposure to multiple rodenticides significantly increased the likelihood of mortality from rodenticide poisoning. Poisoning was significantly more common in male than female fishers and was 7 times more likely than disease to kill males. Based on necropsy findings, suspected causes of mortality based on field evidence alone tended to underestimate the frequency of disease-related mortalities. This study is the first comprehensive investigation of mortality causes of fishers and provides essential information to assist in the conservation of this species

    Tissue- and sex-specific small RNAomes reveal sex differences in response to the environment.

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    RNA interference (RNAi) related pathways are essential for germline development and fertility in metazoa and can contribute to inter- and trans-generational inheritance. In the nematode Caenorhabditis elegans, environmental double-stranded RNA provided by feeding can lead to heritable changes in phenotype and gene expression. Notably, transmission efficiency differs between the male and female germline, yet the underlying mechanisms remain elusive. Here we use high-throughput sequencing of dissected gonads to quantify sex-specific endogenous piRNAs, miRNAs and siRNAs in the C. elegans germline and the somatic gonad. We identify genes with exceptionally high levels of secondary 22G RNAs that are associated with low mRNA expression, a signature compatible with silencing. We further demonstrate that contrary to the hermaphrodite germline, the male germline, but not male soma, is resistant to environmental RNAi triggers provided by feeding, in line with previous work. This sex-difference in silencing efficacy is associated with lower levels of gonadal RNAi amplification products. Moreover, this tissue- and sex-specific RNAi resistance is regulated by the germline, since mutant males with a feminized germline are RNAi sensitive. This study provides important sex- and tissue-specific expression data of miRNA, piRNA and siRNA as well as mechanistic insights into sex-differences of gene regulation in response to environmental cues.This work was funded by grants from the Swiss National Science Foundation and an advanced European Research Council grant to Laurent Keller, grants from Cancer Research UK (C13474/A18583, C6946/A14492) and the Wellcome Trust (104640/ Z/14/Z, 092096/Z/10/Z) to Eric A. Miska, and grants from the National Institutes of Health to Sean M. West (NIGMSNHRA 5F32GM100614) and to Fabio Piano and Kristin Gunsalus (NHGRI U01 HG004276, NICHD R01 HD046236), and by research funding from New York University Abu Dhabi to Fabio Piano and Kristin Gunsalus
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