Colorings, determinants and Alexander polynomials for spatial graphs

A {\em balanced} spatial graph has an integer weight on each edge, so that the directed sum of the weights at each vertex is zero. We describe the Alexander module and polynomial for balanced spatial graphs (originally due to Kinoshita \cite{ki}), and examine their behavior under some common operations on the graph. We use the Alexander module to define the determinant and $p$-colorings of a balanced spatial graph, and provide examples. We show that the determinant of a spatial graph determines for which $p$ the graph is $p$-colorable, and that a $p$-coloring of a graph corresponds to a representation of the fundamental group of its complement into a metacyclic group $\Gamma(p,m,k)$. We finish by proving some properties of the Alexander polynomial.Comment: 14 pages, 7 figures; version 3 reorganizes the paper, shortens some of the proofs, and improves the results related to representations in metacyclic groups. This is the final version, accepted by Journal of Knot Theory and its Ramification

Comentarios sobre unas «Notas» de Eduardo Mallea.

Sin resume

The moving minimum audible angle is smaller during self motion than during source motion

We are rarely perfectly still: our heads rotate in three axes and move in three dimensions, constantly varying the spectral and binaural cues at the ear drums. In spite of this motion, static sound sources in the world are typically perceived as stable objects. This argues that the auditory system-in a manner not unlike the vestibulo-ocular reflex-works to compensate for self motion and stabilize our sensory representation of the world. We tested a prediction arising from this postulate: that self motion should be processed more accurately than source motion. We used an infrared motion tracking system to measure head angle, and real-time interpolation of head related impulse responses to create "head-stabilized" signals that appeared to remain fixed in space as the head turned. After being presented with pairs of simultaneous signals consisting of a man and a woman speaking a snippet of speech, normal and hearing impaired listeners were asked to report whether the female voice was to the left or the right of the male voice. In this way we measured the moving minimum audible angle (MMAA). This measurement was made while listeners were asked to turn their heads back and forth between ± 15° and the signals were stabilized in space. After this "self-motion" condition we measured MMAA in a second "source-motion" condition when listeners remained still and the virtual locations of the signals were moved using the trajectories from the first condition. For both normal and hearing impaired listeners, we found that the MMAA for signals moving relative to the head was ~1-2° smaller when the movement was the result of self motion than when it was the result of source motion, even though the motion with respect to the head was identical. These results as well as the results of past experiments suggest that spatial processing involves an ongoing and highly accurate comparison of spatial acoustic cues with self-motion cues

Keeping up appearances: a comparative approach to aesthetics and the politics of public planning

This research examines the politics of land use planning debates and compares how aesthetic ideals and values associated with a landscape impact public planning decisions in rural Chatham County, North Carolina and the traditionally agrarian Dutch Green Heart. Landscapes and the associated aesthetic values often emerge in these debates simply as attractive places, views and vistas, or synonyms for natural and ecological environments. The aesthetic ideals and attachment to particular landscapes, however, act as diacritical markers indicative of a specific social imaginary that is rooted in time and space. In this dissertation, I argue that battles over landscape ideals such as the preservation of the rural character in Chatham County elicit powerful emotive responses from residents. These emotional responses are embedded within socio-historic beliefs and practices that both implicitly and explicitly reflect deeply ingrained class and race-based components. The aesthetic ideals introduced by so-called newcomers since the 1980s and the recent battle to preserve the rural character of the region indelibly marks the landscape. The privileging of aesthetic ideals in Chatham's planning documents and public debates masks unintended economic, class, and potentially race-based exclusionary practices and fosters a divisive social imaginary in the region. The aesthetic ideals promoted in the Green Heart region, however, actually unified Dutch support during the late 1990s as the European Union consolidated. The Dutch Green Heart emerged in public discourse as an idealized landscape that embodied Dutch ingenuity and perseverance. It acted as a central national identity marker at a time when the push towards integration and co-operation within the European Union decreased national sovereignty, and threatened the social and economic position of the Netherlands. Landscapes emerge in this research as sites of contestation and ongoing debate that link people, polity, and place. The aesthetic privileging of a particular landscape in planning decisions is, therefore, neither benign nor apolitical

Genome Assembly and Population Sequencing Reveal Three Populations and Signatures of Insecticide Resistance of Tuta absoluta in Latin America

Tuta absoluta is one of the largest threats to tomato agriculture worldwide. Native to South America, it has rapidly spread throughout Europe, Africa, and Asia over the past two decades. To understand how T. absoluta has been so successful and to improve containment strategies, high-quality genomic resources and an understanding of population history are critical. Here, we describe a highly contiguous annotated genome assembly, as well as a genome-wide population analysis of samples collected across Latin America. The new genome assembly has an L50 of 17 with only 132 contigs. Based on hundreds of thousands of single nucleotide polymorphisms, we detect three major population clusters in Latin America with some evidence of admixture along the Andes Mountain range. Based on coalescent simulations, we find these clusters diverged from each other tens of thousands of generations ago prior to domestication of tomatoes. We further identify several genomic loci with patterns consistent with positive selection and that are related to insecticide resistance, immunity, and metabolism. This data will further future research toward genetic control strategies and inform future containment policies.info:eu-repo/semantics/publishedVersio

Compression of Auditory Space during Forward Self-Motion

<div><h3>Background</h3><p>Spatial inputs from the auditory periphery can be changed with movements of the head or whole body relative to the sound source. Nevertheless, humans can perceive a stable auditory environment and appropriately react to a sound source. This suggests that the inputs are reinterpreted in the brain, while being integrated with information on the movements. Little is known, however, about how these movements modulate auditory perceptual processing. Here, we investigate the effect of the linear acceleration on auditory space representation.</p> <h3>Methodology/Principal Findings</h3><p>Participants were passively transported forward/backward at constant accelerations using a robotic wheelchair. An array of loudspeakers was aligned parallel to the motion direction along a wall to the right of the listener. A short noise burst was presented during the self-motion from one of the loudspeakers when the listener’s physical coronal plane reached the location of one of the speakers (null point). In Experiments 1 and 2, the participants indicated which direction the sound was presented, forward or backward relative to their subjective coronal plane. The results showed that the sound position aligned with the subjective coronal plane was displaced ahead of the null point only during forward self-motion and that the magnitude of the displacement increased with increasing the acceleration. Experiment 3 investigated the structure of the auditory space in the traveling direction during forward self-motion. The sounds were presented at various distances from the null point. The participants indicated the perceived sound location by pointing a rod. All the sounds that were actually located in the traveling direction were perceived as being biased towards the null point.</p> <h3>Conclusions/Significance</h3><p>These results suggest a distortion of the auditory space in the direction of movement during forward self-motion. The underlying mechanism might involve anticipatory spatial shifts in the auditory receptive field locations driven by afferent signals from vestibular system.</p> </div

Developmental changes in sensitivity to spatial and temporal properties of sensory integration underlying body representation

The closer in time and space that two or more stimuli are presented, the more likely it is that they will be integrated together. A recent study by Hillock-Dunn and Wallace (2012) reported that the size of the visuo-auditory temporal binding window — the interval within which visual and auditory inputs are highly likely to be integrated — narrows over childhood. However, few studies have investigated how sensitivity to temporal and spatial properties of multisensory integration underlying body representation develops in children. This is not only important for sensory processes but has also been argued to underpin social processes such as empathy and imitation (Schütz-Bosbachet al., 2006). We tested 4 to 11 year-olds’ ability to detect a spatial discrepancy between visual and proprioceptive inputs (Experiment One) and a temporal discrepancy between visual and tactile inputs (Experiment Two) for hand representation. The likelihood that children integrated spatially separated visuo-proprioceptive information, and temporally asynchronous visuo-tactile information, decreased significantly with age. This suggests that spatial and temporal rules governing the occurrence of multisensory integration underlying body representation are refined with age in typical developmen

Intermodal attention affects the processing of the temporal alignment of audiovisual stimuli

The temporal asynchrony between inputs to different sensory modalities has been shown to be a critical factor influencing the interaction between such inputs. We used scalp-recorded event-related potentials (ERPs) to investigate the effects of attention on the processing of audiovisual multisensory stimuli as the temporal asynchrony between the auditory and visual inputs varied across the audiovisual integration window (i.e., up to 125 ms). Randomized streams of unisensory auditory stimuli, unisensory visual stimuli, and audiovisual stimuli (consisting of the temporally proximal presentation of the visual and auditory stimulus components) were presented centrally while participants attended to either the auditory or the visual modality to detect occasional target stimuli in that modality. ERPs elicited by each of the contributing sensory modalities were extracted by signal processing techniques from the combined ERP waveforms elicited by the multisensory stimuli. This was done for each of the five different 50-ms subranges of stimulus onset asynchrony (SOA: e.g., V precedes A by 125–75 ms, by 75–25 ms, etc.). The extracted ERPs for the visual inputs of the multisensory stimuli were compared among each other and with the ERPs to the unisensory visual control stimuli, separately when attention was directed to the visual or to the auditory modality. The results showed that the attention effects on the right-hemisphere visual P1 was largest when auditory and visual stimuli were temporally aligned. In contrast, the N1 attention effect was smallest at this latency, suggesting that attention may play a role in the processing of the relative temporal alignment of the constituent parts of multisensory stimuli. At longer latencies an occipital selection negativity for the attended versus unattended visual stimuli was also observed, but this effect did not vary as a function of SOA, suggesting that by that latency a stable representation of the auditory and visual stimulus components has been established

Sequencing of Tuta absoluta genome to develop SNP genotyping assays for species identification

Tuta absoluta is one of the most devastating pests of fresh market and processing tomatoes. Native to South America, its detection was confined to that continent until 2006 when it was identified in Spain. It has now spread to almost every continent, threatening countries whose economies rely heavily on tomatoes. This insect causes damage to all developmental stages of its host plant, leading to crop losses as high as 80–100%. Although T. absoluta has yet to be found in the USA and China, which makes up a large portion of the tomato production in the world, computer models project a high likelihood of invasion. To halt the continued spread of T. absoluta and limit economic loss associated with tomato supply chain, it is necessary to develop accurate and efficient methods to identify T. absoluta and strengthen surveillance programs. Current identification of T. absoluta relies on examination of morphology and assessment of host plant damage, which are difficult to differentiate from that of native tomato pests. To address this need, we sequenced the genomes of T. absoluta and two closely related Gelechiidae, Keiferia lycopersicella and Phthorimaea operculella, and developed a bioinformatic pipeline to design a panel of 21-SNP markers for species identification. The accuracy of the SNP panel was validated in a multiplex format using the iPLEX chemistry of Agena MassARRAY system. Finally, the new T. absoluta genomic resources we generated can be leveraged to study T. absoluta biology and develop species-specific management strategies.info:eu-repo/semantics/acceptedVersio