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A connected graph G is double-critical if the chromatic number of G − x − y is two less than that of G whenever x and y are two adjacent vertices of G. The double-critical graph conjecture states that the complete graphs are the only double-critical graphs. We give a proof of this conjecture for any double-critical graph that contains at least one universal vertex. Using this result we prove the conjecture for all double-critical graphs. [ABSTRACT FROM AUTHOR]

In this paper, we present the class of δ EFL graphs and then prove a generalized statement of the Erdős–Faber–Lovász conjecture for this graph class. Then, the Erdős–Faber–Lovász conjecture follows for every graph in this class. [ABSTRACT FROM AUTHOR]

The increasing utilization of zinc oxide nanoparticles (ZnO-NPs) in many consumer products is of concern due to their eventual release into the natural environment and induction of potentially adverse impacts. The behaviour and environmental impacts of ZnO-NPs could be altered through their interactions with environmentally coexisting substances. This study investigated the changes in the behaviour of ZnO-NPs in the presence of coexisting organic pollutants (such as perfluorooctanoic acid [PFOA]), natural organic substances (i.e., humic acid [HA]), and electrolytes (i.e., NaCl and CaCl 2 ) in simulated waters. The size, shape, purity, crystallinity, and surface charge of the ZnO-NPs in simulated water after different interaction intervals (such as 1 day, 1 week, 2 weeks, and 3 weeks) at a controlled pH of 7 were examined using various characterization techniques. The results indicated alterations in the size (such as 162.4 nm, 1 day interaction to >10 µm, 3 weeks interaction) and zeta potential (such as -47.2 mV, 1 day interaction to -0.2 mV, 3 weeks interaction) of the ZnO-NPs alone and when PFOA, electrolytes, and HA were present in the suspension. Different influences on the size and surface charge of the nanoparticles were observed for fixed concentrations (5 mM) of the different electrolytes. The presence of HA-dispersed ZnO-NPs affected the zeta potential. Such dispersal effects were also observed in the presence of both PFOA and salts due to their large aliphatic carbon content and complex structure. Cation bridging effects, hydrophobic interactions, hydrogen bonding, electrostatic interactions, and van der Waals forces could be potential interaction forces responsible for the adsorption of PFOA. The presence of organic pollutants (PFOA) and natural organic substances (HA) can transform the surface characteristics and fate of ZnO-NPs in natural and sea waters.

This review focuses on the occurrence and interactions of engineered nanoparticles (ENPs) and brominated flame retardants (BFRs) such as polybrominated diphenyl ethers (PBDEs) in water systems and the generation of highly complex compounds in the environment. The release of ENPs and BFRs (e.g. PBDEs) to aquatic environments during their usage and disposal are summarised together with their key interaction mechanisms. The major interaction mechanisms including electrostatic, van der Waals, hydrophobic, molecular bridging and steric, hydrogen and π-bonding, cation bridging and ligand exchange were identified. The presence of ENPs could influence the fate and behaviour of PBDEs through the interactions as well as induced reactions under certain conditions which increases the formation of complex compounds. The interaction leads to alteration of behaviour for PBDEs and their toxic effects to ecological receptors. The intermingled compound (ENPs-BFRs) would show different behaviour from the parental ENPs or BFRs, which are currently lack of investigation. This review provided insights on the interactions of ENPs and BFRs in artificial, environmental water systems and wastewater treatment plants (WWTPs), which are important for a comprehensive risk assessment., (Copyright © 2021. Published by Elsevier B.V.)

Perfluorobutane sulfonate (PFBS), due to its increasing use as an alternative to perfluooctane sulfonate (PFOS), is widely detected in humans and the environment, necessitating the evaluation of its potential ecotoxicological risk. We assessed the toxicity and bioaccumulation potential of PFBS in Caenorhabditis elegans, using lethality, locomotion, reproduction, life span, growth, and chemotactic behavior as the effect parameters. In addition, a total of 6 generations of exposed parent animals were monitored for locomotion, brood, and life span behaviors. Life span and brood size were significantly reduced in parent nematodes (P0) following exposure to ≥0.1 mM PFBS, but these negative effects did not transfer to the progeny. Although there was no remarkable effect on reproduction and life span in parent worms exposed to ≤0.01 mM PFBS, multigenerational exposure at 0.0005 mM significantly affected the F4 and F5 progeny. Furthermore, 0.01 to 2.0 mM of PFBS substantially retarded the locomotion behavior of P0 worms. At higher concentrations such as 1.0 mM, this negative effect on locomotion was transferred to the next generation (F1) but later recovered from F2 progeny onward. Our findings demonstrate for the first time that chronic exposure to PFBS at higher concentrations can cause behavioral toxicity and could be transferred to the progeny. These findings have significant implications for the environmental risk assessment of PFBS. Environ Toxicol Chem 2021;40:1973-1982. © 2021 SETAC., (© 2021 SETAC.)

The environmental fate and impact of dimethoate application in the urban environment were assessed in nine selected soils. The pseudo-second-order kinetics model described the kinetics of dimethoate sorption very well in the urban soils exhibiting two distinct phases, an initial partitioning into clay surfaces and soil organic matter, and eventual diffusion into soil micropores. Dimethoate sorption in the urban soils followed the Freundlich model with an R 2 value of 0.94-0.99, suggesting a multi-layered sorption on the heterogeneous surfaces. Sorption of dimethoate in the soils was influenced by clay, silt, organic matter, carboxyl and alkyl groups, and Al and Fe oxides. The undecomposed or incompletely decomposed organic matter present in the soils greatly reduced the sorption and enhanced desorption. The calculated lower values for Freundlich constant (K F ) indicate the high mobility of dimethoate in the selected soils. Also, the values of groundwater ubiquity score (GUS), leachability index (LIX), hysteresis index (HI), and coefficient of distribution (K d ) for dimethoate in the soils clearly suggest that the insecticide is prone to leaching out significantly from the soil surface to groundwater. Moreover, the surface runoff from impervious places in the urban environment can be considered as a direct source of groundwater contamination, thereby affecting the quality of potable water besides posing a threat to non-target organisms of ecological importance and food safety. Thus, the present novel study suggests that the application of dimethoate in the urban environment having impervious surfaces must be judicious in order to minimize the potential human and ecological health risks.

Titanium dioxide (TiO 2 ) has been extensively investigated in interdisciplinary research (such as catalysis, energy, environment, health, etc.) owing to its attractive physico-chemical properties, abundant nature, chemical/environmental stability, low-cost manufacturing, low toxicity, etc. Over time, TiO 2 -incorporated building/construction materials have been utilized for mitigating potential problems related to the environment and human health issues. However, there are challenges with regards to photocatalytic efficiency improvements, lab to industrial scaling up, and commercial product production. Several innovative approaches/strategies have been evolved towards TiO 2 modification with the focus of improving its photocatalytic efficiency. Taking these aspects into consideration, research has focused on the utilization of many of these advanced TiO 2 materials towards the development of construction materials such as concrete, mortar, pavements, paints, etc. This topical review focuses explicitly on capturing and highlighting research advancements in the last five years (mainly) (2014-2019) on the utilization of various modified TiO 2 materials for the development of practical photocatalytic building materials (PBM). We briefly summarize the prospective applications of TiO 2 -based building materials (cement, mortar, concretes, paints, coating, etc.) with relevance to the removal of outdoor/indoor NO x and volatile organic compounds, self-cleaning of the surfaces, etc. As a concluding remark, we outline the challenges and make recommendations for the future outlook of further investigations and developments in this prosperous area.

Glyphosate, introduced by Monsanto Company under the commercial name Roundup in 1974, became the extensively used herbicide worldwide in the last few decades. Glyphosate has excellent properties of fast sorption in soil, biodegradation and less toxicity to nontarget organisms. However, glyphosate has been reported to increase the risk of cancer, endocrine-disruption, celiac disease, autism, effect on erythrocytes, leaky-gut syndrome, etc. The reclassification of glyphosate in 2015 as 'probably carcinogenic' under Group 2A by the International Agency for Research on Cancer has been broadly circulated by anti-chemical and environmental advocacy groups claiming for restricted use or ban of glyphosate. In contrast, some comprehensive epidemiological studies involving farmers with long-time exposure to glyphosate in USA and elsewhere coupled with available toxicological data showed no correlation with any kind of carcinogenic or genotoxic threat to humans. Moreover, several investigations confirmed that the surfactant, polyethoxylated tallow amine (POEA), contained in the formulations of glyphosate like Roundup, is responsible for the established adverse impacts on human and ecological health. Subsequent to the evolution of genetically modified glyphosate-resistant crops and the extensive use of glyphosate over the last 45 years, about 38 weed species developed resistance to this herbicide. Consequently, its use in the recent years has been either restricted or banned in 20 countries. This critical review on glyphosate provides an overview of its behaviour, fate, detrimental impacts on ecological and human health, and the development of resistance in weeds and pathogens. Thus, the ultimate objective is to help the authorities and agencies concerned in resolving the existing controversies and in providing the necessary regulations for safer use of the herbicide. In our opinion, glyphosate can be judiciously used in agriculture with the inclusion of safer surfactants in commercial formulations sine POEA, which is toxic by itself is likely to increase the toxicity of glyphosate., Competing Interests: Declaration of competing interest None., (Copyright © 2020 Elsevier Ltd. All rights reserved.)

The fate and movement of 2,4-dichlorophenoxyacetic acid (2,4-D), in terms of sorption-desorption and leaching potential, were evaluated in urban soils following the batch experimental method. The sorption kinetics of 2,4-D in soils followed both "fast" and "slow" sorption processes that could be well described by a pseudo-second-order kinetics model, suggesting that 2,4-D was partitioned into soil organic matter and clay surfaces, and eventually diffused into soil micropores. The sorption isotherms were linear, following both Langmuir and Freundlich models. Partially decomposed or undecomposed organic matter present in urban soils decreased sorption and increased desorption of 2,4-D. Also, sorption of 2,4-D increased with an increase in the contents of clay and Al and Fe oxides, whereas sand and alkaline pH increased the desorption process. The lower calculated K d values suggest that 2,4-D is highly mobile in urban soils than in agricultural soils. The calculated values of groundwater ubiquity score, leachability index, and hysteresis index indicated that the herbicide is highly prone to leach out from surface soil to groundwater which might affect the quality of potable water. The present study clearly suggests that 2,4-D must be judiciously applied in the urban areas in order to minimize the potential health and environmental risks., Competing Interests: The authors declare no competing financial interest., (Copyright © 2020 American Chemical Society.)

Pesticides play a pivotal role in controlling pests and disease infestations not only in urban agriculture but also in non-agricultural settings. Several pesticides like herbicides, insecticides, fungicides, rodenticides, etc. are applied unintentionally at higher concentrations even in small urban areas such as lawns, gardens and impermeable surfaces. Consequent to their indiscriminate use, both extensively and intensively, in the urban areas, contamination of pesticides poses a serious threat to the environment, living organisms and food safety. Although the fate and ecological effects of pesticides and their residues have been thoroughly understood in agricultural soils, information available in the literature on the impact of these contaminants in the urban environment is very limited and fragmentary. In fact, the fate and behaviour of pesticide residues in the urban environment are distinct from those in other ecosystems since the soils in urban areas greatly vary in their physico-chemical properties. Development of sustainable and eco-friendly approaches for remediation of even urban soils contaminated with pesticides is therefore greatly warranted. Thus, the present critical review is the first single source that provides updated knowledge on the sources, nature and extent of pesticide pollution in the urban environment, and the ecological and human health effects of pesticides and their residues. The potential of nano-encapsulation of pesticides for their application in urban settings has also been discussed., Competing Interests: Declaration of Competing Interest The authors declare no conflict of interest., (Copyright © 2019 Elsevier B.V. All rights reserved.)

A reasonable, high sensitive and accurate analytical method for the determination of 20 allergenic disperse dyes in foodstuffs was developed and validated. The obtained results showed that an ultra high liquid performance chromatography system - equipped with tandem quadrupole mass spectrometry (UHPLC-MS/MS) proved to be ideal for the selected method enabling multidimensional processing of the samples. Under optimized conditions, validation results showed excellent linearity (5-1000 µg/L, r 2  ≥ 0.997), limits of detection (LODs, 1.1-10.8 μg/kg), recoveries (60.2-110.3%) and precision (RSDs ≤ 12.6%) for the twenty disperse dyes under investigation. The developed method was successfully applied to the analysis of 20 disperse dyes in real foodstuffs demonstrating the validity and applicability of the current method for continuing monitoring of the selected dyes. The proposed UHPLC-MS/MS is thus proved to be a convenient, effective, sensitive and timesaving method for the isolation and determination of allergenic disperse dyes in edible packaging and other foodstuffs., (Copyright © 2019 Elsevier Ltd. All rights reserved.)

Background: Reverse shoulder arthroplasty (RSA) is being increasingly used for complex, displaced fractures of the proximal humerus in older patients. Anatomic tuberosity healing in RSA has been recognized to restore better shoulder function. We compared the reported clinical and functional outcomes of RSA in proximal humeral fractures with and without tuberosity healing., Methods: We performed a systematic review of literature based on Preferred Reporting Items for Systematic Reviews and Meta-Analyses guidelines and searched MEDLINE, CINAHL, Embase, and Cochrane Central Register of Controlled Trials. We included all studies with RSA for proximal humeral fractures in patients older than 60 years and compared outcomes based on tuberosity healing with minimum follow-up of 12 months., Results: Seven studies met the inclusion criteria. A total of 381 patients (382 shoulders) were identified. There were 53 men (18.3%) and 236 women (81.7%), with mean age of 76.83 years (range, 74-81 years). Mean follow-up duration was 29.84 months (range, 24-90 months), and the mean rate of greater tuberosity healing was 70.5%. Patients with healed tuberosity had significantly better active forward flexion (134.1° vs. 112.5°, P < .05), abduction (114.8° vs. 95.1°, P < .05), external rotation with elbow by the side (27.8° vs. 7.6°), and mean Constant score (63.5 vs. 56.6, P < .05) than with those with nonhealed tuberosity., Conclusion: The RSA group with healed greater tuberosity showed better range of motion, especially forward flexion and external rotation and Constant scores, compared with the nonhealed greater tuberosity group. Tuberosity healing may influence overall shoulder function after RSA for proximal humeral fractures in the elderly, and this needs verification with future prospective studies., (Copyright © 2018 Journal of Shoulder and Elbow Surgery Board of Trustees. Published by Elsevier Inc. All rights reserved.)

In this study, the infrared spectrum (4000-400 cm -1 ) was applied to identify and classify the different alkanes based on carbon chain length (C n ). It was found there were two bands coherent to the doublet at location 2954 and 2872 cm -1 , respectively can be applied to identify the fraction of carbon chains. From C 20 to C 37 , by the increase of the C n , the intensities of the two bands were reduced as demonstrated. There were another two doublets existed at the region from 1480 to 1450 cm -1 and the region at 750 and 730 cm -1 . It was observed the intensity of one coherent band at each of these regions was increased following the increase on the C n . The bands center at 1462 and 730 cm -1 were increased from C 20 to C 37 . The intensity ratio of the coherent bands can be applied to identify the C n. Successfully identify four different petroleum products with different fractions of carbon chains in soil samples, is evidence the theory can be applied to investigate the fraction of carbon chains in soil. Coupling with handheld FTIR, it is possible to rapidly estimate the dominant fraction of C n in soil in field., (Copyright © 2018 Elsevier B.V. All rights reserved.)

The overwhelming response towards algal biodiesel production has been well-recognized recently as a sustainable alternative to conventional fuels. Most microalgae cannot grow well at acidic pH. The present study, therefore, investigated whether non-acidophilic microalgae Desmodesmus sp. MAS1 and Heterochlorella sp. MAS3 can be acclimated to extreme-acidic pH for sustainable production of biomass and biodiesel. Growth analysis indicated that both the microalgal strains possessed a passive uptake of CO 2 at pH 3.0 with biomass production of 0.25 g dry wt. L -1 in Desmodemus sp. and 0.45 g dry wt. L -1 in Heterochlorella sp.. Flow-cytometry analysis for reactive oxygen species, membrane permeability and neutral-lipids revealed the capabilities of both strains to adapt to the stress imposed by acidic pH. Lipid production was doubled in both the strains when grown at pH 3.0. In-situ transesterification of biomass resulted in 13-15% FAME yield in the selected microalgae, indicating their great potential in biofuel production., (Copyright © 2018 Elsevier Ltd. All rights reserved.)