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1-Planar Graphs with Girth at Least 7 are(1,1,1,0)-Colorable 被引量:1
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作者 Ya-nan CHU Lei SUN 《Journal of Mathematical Research with Applications》 CSCD 2016年第6期643-650,共8页
A graph is 1-planar if it can be drawn on the plane so that each edge is crossed by at most one other edge.In this paper,it is shown that 1-planar graphs with girth at least7 are(1,1,1,0)-colorable.
关键词 vertex coloring crossing planar undirected colorable Figure subgraph integers incident
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Uniquely Tree Colorable Graphs
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作者 Deng Ping Department of Applied Mathematics, Southwest Jiaotong University, Chengdu 610031, China 《Journal of Modern Transportation》 1997年第1期90-95,共6页
In this paper, the concepts of tree chromatic numbers and uniquely tree colorable graphs are introduced. After discussion some fundamental properties, three necessary conditions for a simple graph to be uniquely tr... In this paper, the concepts of tree chromatic numbers and uniquely tree colorable graphs are introduced. After discussion some fundamental properties, three necessary conditions for a simple graph to be uniquely tree colorable are given. Moreover, a series of uniquely tree colorable graphs are constructed. 展开更多
关键词 tree chromatic number tree partition uniquely tree colorable graph
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Plane Graphs with Maximum Degree 5 Are 11-Linear-Colorable
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作者 Kan WANG Weifan WANG 《Journal of Mathematical Research with Applications》 CSCD 2012年第6期647-653,共7页
A linear coloring of a graph G is a proper vertex coloring such that the graph induced by the vertices of any two color classes is the union of vertex-disjoint paths. The linear chromatic number lc(G) of G is the sm... A linear coloring of a graph G is a proper vertex coloring such that the graph induced by the vertices of any two color classes is the union of vertex-disjoint paths. The linear chromatic number lc(G) of G is the smallest number of colors in a linear coloring of G. In this paper, we prove that every planar graph G with maximum degree 5 is 11-linear-colorable. 展开更多
关键词 planar graph linear coloring maximum degree.
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Colorable photothermal-induced self-repairing anti-corrosion coating based on confined solid-liquid transition
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作者 Jiahong Wei Ting Shen +3 位作者 Wenkai Cao Long Jiang Yu He Weihua Li 《Journal of Materials Science & Technology》 CSCD 2024年第30期227-237,共11页
Self-repairing coatings hold promise for prolonging the lifespan of steel structures and reducing carbon dioxide emissions from metal corrosion.Reversible chemistry-based intrinsic self-repairing has emerged as a cutt... Self-repairing coatings hold promise for prolonging the lifespan of steel structures and reducing carbon dioxide emissions from metal corrosion.Reversible chemistry-based intrinsic self-repairing has emerged as a cutting-edge strategy for addressing material damage.However,achieving effective repair at damaged coating interfaces remains challenging due to adhesion limitations between the coating and substrate.In this study,we propose an innovative approach to efficiently repair coating damage using photothermal-induced confined solid-liquid transition.We developed a unique structured coating by incorporating ther-moplastic epoxy resin(EP)into a polyethersulfone(PES)network skeleton through controlled reaction-induced phase separation.Additionally,we synthesized visible-light transmittable copper sulfide(CuS)nanocrystals as photothermal fillers to impart PES/EP-CuS coating with colorability.Upon near-infrared(NIR)laser irradiation,the EP phase undergoes confined solid-liquid transition at the crack site,enabling it to flow through the PES skeleton and seal the crack.This process promotes contact between damaged interfaces and closes the crack through interfacial tension.The PES/EP-CuS coating exhibited exceptional anti-corrosion restoration during service,showcasing its robust self-repairing capability. 展开更多
关键词 Confined solid-liquid transition Photothermal effect Colorability SELF-REPAIRING Anti-corrosion coating
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1-planar Graphs without 4-cycles or 5-cycles are 5-colorable
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作者 Li-li SONG Lei SUN 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2022年第1期169-177,共9页
A graph is 1-planar if it can be drawn on the Euclidean plane so that each edge is crossed by at most one other edge.A proper vertex k-coloring of a graph G is defined as a vertex coloring from a set of k colors such ... A graph is 1-planar if it can be drawn on the Euclidean plane so that each edge is crossed by at most one other edge.A proper vertex k-coloring of a graph G is defined as a vertex coloring from a set of k colors such that no two adjacent vertices have the same color.A graph that can be assigned a proper k-coloring is k-colorable.A cycle is a path of edges and vertices wherein a vertex is reachable from itself.A cycle contains k vertices and k edges is a k-cycle.In this paper,it is proved that 1-planar graphs without 4-cycles or 5-cycles are 5-colorable. 展开更多
关键词 1-planar colorable DISCHARGING VERTICES FACES
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Preliminary Study on Screening Loquat Hybrid Seedlings for Flesh Color Using PSY Gene Molecular Markers
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作者 Ling LIN Zhenyu PENG +9 位作者 Wei SONG Jianbing HE Zhuoxi LI Shousheng ZHONG Meng CHEN Danli WEI Xinyue YU Xiaolei JIAO Liang CHEN Lun SU 《Asian Agricultural Research》 2026年第2期27-29,共3页
[Objectives]To distinguish loquat flesh color,thereby guiding early-age selection in loquat hybrid progeny.[Methods]Molecular markers based on the phytoene synthase gene(PSY)of loquat were applied to a hybrid progeny ... [Objectives]To distinguish loquat flesh color,thereby guiding early-age selection in loquat hybrid progeny.[Methods]Molecular markers based on the phytoene synthase gene(PSY)of loquat were applied to a hybrid progeny population derived from a cross between‘Zaozhong 6’and a local wild white-fleshed loquat resource‘DB1’.[Results]Among the 49 hybrid progeny,24 were identified as white-fleshed loquat resources and 25 as yellow-fleshed loquat resources.[Conclusions]The molecular marker of the PSY gene can effectively distinguish loquat flesh color and is of significant importance for guiding early-age selection in loquat hybrid breeding. 展开更多
关键词 PSY GENE Molecular MARKER LOQUAT FLESH color
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Molecular regulatory mechanisms of anthocyanin in the coloration of plant leaves and research prospects
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作者 Long Li Yuanyuan Sun +4 位作者 Yanhui Su Qianqian Shi Wenjing Yao Xiangyu Li Shuyan Lin 《Horticultural Plant Journal》 2026年第3期509-528,共20页
Anthocyanin-rich foliage plants hold important applications in the pharmaceutical industry and the tea sector,beyond their significant ornamental value.These plants also possess biological and ecological importance,co... Anthocyanin-rich foliage plants hold important applications in the pharmaceutical industry and the tea sector,beyond their significant ornamental value.These plants also possess biological and ecological importance,contributing to reproduction,defense against natural enemies,and adaptation to environmental changes.Thus,a deeper understanding of their leaf coloration will be essential for both practical applications and theoretical understanding.The present study comprehensively reviews the factors influencing anthocyanin metabolism,including biosynthesis,transport,degradation,transcription factors(TF_(S)),post-transcriptional regulation,post translation regulation.Next,we summarize the application of omics technologies in unveiling the mechanisms of anthocyanin synthesis in leaves.Furthermore,we review the molecular mechanisms by which environmental factors regulate leaf coloration by inducing anthocyanin biosynthesis.Lastly,the study addresses unresolved issues in the research of plant leaf coloration and proposes future research directions in this field.This study is anticipated to provide a valuable reference for the study of plant leaf coloration. 展开更多
关键词 Leaf color ANTHOCYANIN REGULATION OMICS MECHANISMS
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Back to seed
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作者 Mingxiao Liang 《色彩》 2026年第1期202-203,共2页
Design concept Design Theme Color is not only a visual grammar but also a symbolic language of the spirit.This series,“In the Name of Color,”explores three states of the female inner world:awakening in chaos,order i... Design concept Design Theme Color is not only a visual grammar but also a symbolic language of the spirit.This series,“In the Name of Color,”explores three states of the female inner world:awakening in chaos,order in return,and regeneration in flow.The works—Eye of the Storm,Back to the Seed,and Source—form a stream-of-consciousness journey from within to without.Based on the COLORO color system,the series is constructed through hue,chroma,lightness,and domain ratio,treating color as both emotional force and symbolic medium. 展开更多
关键词 CHROMA order color AWAKENING regeneration LIGHTNESS female inner world HUE
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Color of the Year 2026: Cloud Dancer, a hue of serenity and space
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《China Textile》 2026年第1期54-55,共2页
The Pantone Color of the Year 2026,PANTONE 11-4201 Cloud Dancer,has been introduced as a soft,lofty white symbolizing calm and clarity in an increasingly noisy world.This gentle shade invites a sense of peace and spac... The Pantone Color of the Year 2026,PANTONE 11-4201 Cloud Dancer,has been introduced as a soft,lofty white symbolizing calm and clarity in an increasingly noisy world.This gentle shade invites a sense of peace and spaciousness,encouraging focus and creating room for creativity and reflection.Cloud Dancer embodies a desire for simplicity and renewal-a blank canvas that allows our minds to wander and new ideas to take shape.Its expansive presence fosters environments where tranquility meets inspiration,offering visual calm that supports wellbeing and mental lightness. 展开更多
关键词 pantone color SERENITY SPACE clarity creativity blank canvas reflection cloud dancerhas
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PavbHLH102 functions as a positive regulator of anthocyanin biosynthesis in sweet cherry fruit by targeting multiple key genes
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作者 Wanjia Tang HongFen Li +9 位作者 Yidi Huang Wenyi Niu Quanyan Du Yizhe Chu Yujie Gao Runmei He Yunjia Tang Hongxu Chen Yangang Pei Ronggao Gong 《Horticultural Plant Journal》 2026年第2期317-332,共16页
Anthocyanins play a crucial role in shaping the visual appeal and nutritional quality of fruits.Previous research on anthocyanin biosynthesis in sweet cherry(Prunus avium L.)has primarily relied on single-omics approa... Anthocyanins play a crucial role in shaping the visual appeal and nutritional quality of fruits.Previous research on anthocyanin biosynthesis in sweet cherry(Prunus avium L.)has primarily relied on single-omics approaches or focused on a limited range of metabolites,leaving the regulatory mechanisms and dynamic metabolism of anthocyanins during ripening inadequately characterized.This study integrated anthocyanin-targeted metabolomics and transcriptomics to identify key anthocyanins in sweet cherry and construct a transcriptional regulatory network for anthocyanin biosynthesis.A novel bHLH transcription factor,Prunus avium bHLH transcription factor 102(PavbHLH102),was identified,and its role in regulating cyanidin levels was validated through overexpression and silencing experiments.Both in vitro and in vivo assays demonstrated that PavbHLH102 activates key anthocyanin biosynthetic genes,including PavF3H,PavDFR,and PavUFGT,thereby enhancing fruit coloration.Notably,PavF3′H upregulation significantly increased cyanidin accumulation.This study provides new insights into anthocyanin regulation in sweet cherry and offers valuable resources for improving fruit quality. 展开更多
关键词 Sweet cherry Prunus avium L. ANTHOCYANIN Fruit coloration Transcription regulation TRANSCRIPTOMICS Metabolomics
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Trans-reflective color filters with brilliant colors by integrating organic dyes with photonic crystals
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作者 Shi Li Yong Qi +4 位作者 Wenbin Niu Suli Wu Bingtao Tang Wei Ma Shufen Zhang 《Smart Molecules》 2026年第1期106-117,共12页
Color filters are essential components for optical modulation.However,conventional filters are restricted to operating exclusively in either reflective or transmissive mode.Furthermore,they suffer from limited UV and ... Color filters are essential components for optical modulation.However,conventional filters are restricted to operating exclusively in either reflective or transmissive mode.Furthermore,they suffer from limited UV and thermal stability,low color purity,and exhibit identical coloration on both surfaces.Herein,we propose a novel design strategy for trans-reflective color filters by integrating the absorptive properties of dye-doped polysulfone(PSU)with the diffractive capabilities of photonic crystals.This composite filter achieved broad-spectrum transmission with deep color outputs—yellow(0.410,0.510),magenta(0.446,0.231),and cyan(0.201,0.425)—closely aligned with standard color space coordinates.By tuning the refractive index of CeO_(2)@SiO_(2)nanoparticles to match dye-based PSU matrix,the transmittance of filters exceeded 70%.Moreover,dye-mediated absorption reduces the scattering light,thereby enhancing reflection color purity(full width at half maxima(FWHM)=25 nm)and producing vibrant blue,green,and red hues.The incorporation of UV-absorbing CeO_(2)@SiO_(2)nanoparticles effectively mitigated dye photodegradation,yielding exceptional UV stability(ΔT<2%under prolonged UV exposure).The filters also exhibited outstanding thermal stability(ΔT<1%after 30 min heat treatment at 230°C).This work establishes a robust materials design framework for multifunctional optical filters,advancing the development of highfidelity dual-mode color systems for next-generation display technologies. 展开更多
关键词 DYES photonic crystals stability trans-reflective color filters
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FcMET1 mediates low DNA methylation and promotes peel coloring in Ficus carica
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作者 Kairong Sun Xiaoxiao Wang +5 位作者 Hantang Huang Yuan Wang Zhiyi Fan Yutian Xia Huiqin Ma Miaoyu Song 《Horticultural Plant Journal》 2026年第2期345-355,共11页
Fig(Ficus carica L.)with purple-red peel cultivars are popular among consumers and exhibit better storability.While DNA methylation influences fruit ripening and color development,its specific role in fig fruit remain... Fig(Ficus carica L.)with purple-red peel cultivars are popular among consumers and exhibit better storability.While DNA methylation influences fruit ripening and color development,its specific role in fig fruit remains unclear.This study explores the impact of DNA methylation on the fig peel coloration.Enzymatic colorimetric detection revealed that the level of‘Purple Peel’fig DNA methylation decreases with fig fruit ripening and coloring.Treatment of young fruit with the DNA-methylation inhibitor azacytidine induced peel coloration,suggesting that a decrease in DNA-methylation level promotes fig peel coloration.Seven members of DNA methyltransferases and three members of DNA demethylases were identified from a high-level fig genome,highlighting FcMET1 and FcDRM2 as stable proteins,ensuring functional expression.Reference to the Arabidopsis protein interaction network map predicted that FcMET1 is in a central position,suggesting a crucial regulatory role in multiple biological processes.Correlation analysis revealed a positive correlation between FcMET1 expression during peel development and the level of total DNA methylation.Weighted gene co-expression network analysis identified co-expression of FcMET1 with the color-related transcription factors MYB,bHLH and WD40,as well as with eight structural genes in the flavonoid-biosynthesis pathway.The expression of FcUFGT3 was negatively correlated with that of FcMET1.McrBC-PCR and Bisulfite Sequencing detection showed that a low methylation level of the FcUFGT3 promoter corresponds with its high expression in colored fig.This investigation of the mechanism of DNA methylation provides a theoretical basis for understanding the role of DNA-methylation modifications in fig ripening and coloring. 展开更多
关键词 Ficus carica L. DNA methylation FcMET1 COLORING PEEL
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Dual-Mode Sensor with Saturated Mechanochromic Structural Color Enhanced by Black Conductive Hydrogel for Interactive Rehabilitation Monitoring
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作者 Zhiyuan Sun Binhong Yu +10 位作者 Chao Dong Chengjun Yu Lianghe Sheng Zhe Cui Yaming Liu Zhenni Lu Bingda Chen Daixi Xie Zhandong Huang Songshan Zeng Qingdong Ou 《Nano-Micro Letters》 2026年第4期153-171,共19页
Flexible and wearable sensors offer immense potential for rehabilitation medicine,but most rely solely on electrical signals,lacking real-time visual feedback and limiting trainee's interactivity.Inspired by the s... Flexible and wearable sensors offer immense potential for rehabilitation medicine,but most rely solely on electrical signals,lacking real-time visual feedback and limiting trainee's interactivity.Inspired by the structural coloration of Cyanocitta stelleri feathers,we developed a dual-mode sensor by utilizing black conductive polymer hydrogel(CPH)-enhanced structural color strategy.This sensor integrates a hydroxypropyl cellulose(HPC)-based structural color interface with a designed CPH sensing component.Highly visible light-absorbing CPH(absorption rate>88%)serves as the critical substrate for enhancing structural color performance.By absorbing incoherent scattered light and suppressing background interference,it significantly enhances the saturation of structural color,thereby achieving a high contrast index of 4.92.Unlike the faint and hardly visible structural colors on non-black substrates,the HPC on CPH displays vivid,highly perceptible colors and desirable mechanochromic behavior.Moreover,the CPH acts as a flexible sensing element,fortified by hydrogen and coordination bond networks,and exhibits exceptional electromechanical properties,including 867.1 kPa tensile strength,strain sensitivity(gauge factor of 4.24),and outstanding durability(over 4400 cycles).Compared to traditional single-mode sensors,the integrated sensor provides real-time visual and digital dual feedback,enhancing the accuracy and interactivity of rehabilitation assessments.This technology holds promise for advancing next-generation rehabilitation medicine. 展开更多
关键词 Conductive hydrogel Structural color Hydroxypropyl cellulose Dual-mode sensor Rehabilitation monitoring
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Frontiers of Nursing Call for Papers
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《Frontiers of Nursing》 2026年第1期F0003-F0003,共1页
Frontiers of Nursing is a nursing academic journal,CN 14-1395/R,ISSN 2097-5368.Size A4,quarterly publication,color printing,public offerings at home and abroad which is managed by the First Hospital of Shanxi Medical ... Frontiers of Nursing is a nursing academic journal,CN 14-1395/R,ISSN 2097-5368.Size A4,quarterly publication,color printing,public offerings at home and abroad which is managed by the First Hospital of Shanxi Medical University,sponsored by Shanxi Nursing Association and Shanxi Medical Periodical Press Co.,Ltd.Frontiers of Nursing has been indexed by databases including Scopus,Google Scholar,DOAJ,Baidu Scholar,CNKI,VIP,Wanfang,Chaoxing,and so on. 展开更多
关键词 sponsored indexed databases NURSING academic journal quarterly publication color printing frontiers nursing managed
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Broadband polarization-based method for color high-resolution imaging through complex scattering media
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作者 Sen Wang Tianyu Wang +7 位作者 Piao He Yan Hui Xue Dong Jinpeng Liu Jingjing Ge Fei Liu Meng Xiang Xiaopeng Shao 《Advanced Photonics Nexus》 2026年第1期236-247,共12页
In complex media scattering,multiple scattering severely degrades the optical wavefront and results in blurred images,while the spectral distortion caused by the scattering effect leads to severe color distortion.Achi... In complex media scattering,multiple scattering severely degrades the optical wavefront and results in blurred images,while the spectral distortion caused by the scattering effect leads to severe color distortion.Achieving color high-resolution imaging through scattering media remains a significant challenge.Here,we propose a broadband,polarization-based method for color high-resolution imaging through scattering media.This approach enables high-resolution reconstruction by effectively separating the speckle illumination pattern from the mixed-scattering field information,leveraging polarization common-mode characteristics.Concurrently,it incorporates chromatic balance compensation to correct spectral aliasing in the scattered light field,enabling color high-resolution imaging through complex scattering media.To further optimize color distortion caused by scattering,a compensation strategy combining color constancy and white balance theory is adopted.Experimental results demonstrate that the proposed method significantly enhances both spatial resolution and color fidelity across various scattering conditions and target materials,showcasing strong adaptability and robustness.This approach provides an effective solution for achieving high-resolution color optical imaging in complex scattering environments. 展开更多
关键词 scattering medium color imaging POLARIZATION high resolution
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从color walk到研学 这个春天,我们为“体验”买单
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作者 石青川 宋杰 《中国经济周刊》 2026年第6期53-55,共3页
一年之计在于春,春天出门走走是徒步达人白洋多年的习惯。这天,他计划沿着重庆的轻轨线路徒步一天,顺便把沿途遇见的绿色景物都拍下来,发到社交媒体上。他告诉记者,这其实是今年年轻人流行的“color walk”,即选定一种颜色,走上街头,寻... 一年之计在于春,春天出门走走是徒步达人白洋多年的习惯。这天,他计划沿着重庆的轻轨线路徒步一天,顺便把沿途遇见的绿色景物都拍下来,发到社交媒体上。他告诉记者,这其实是今年年轻人流行的“color walk”,即选定一种颜色,走上街头,寻找并记录下带有这种色调的一切。随着各地春假的推出,这样的活动正不断在春天里萌发。研学体验、赛事热潮等方式正成为很多人的春日新选择。这背后是一场由“体验经济”驱动的“焕新”,也是“春日经济”下的消费新内涵。 展开更多
关键词 徒步达人 体验经济 color walk 绿色景物
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Phytoene synthase gene GbDYA modulates carotenoids accumulation and confers yellow anther and pollen antioxidant activity in cotton
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作者 Zhihan Guan Caiping Cai +5 位作者 Meng Lyu Lu Wang Zhenqi Wang Weixi Li Jiaqi Wang Wangzhen Guo 《The Crop Journal》 2026年第1期188-200,共13页
Carotenoids are natural pigments that are widely distributed in the flowers,fruits,and seeds of many plant species.These compounds not only endow diverse colors but also exhibit antioxidant,immune-modulatory,anti-agin... Carotenoids are natural pigments that are widely distributed in the flowers,fruits,and seeds of many plant species.These compounds not only endow diverse colors but also exhibit antioxidant,immune-modulatory,anti-aging,and photoprotective properties.Although carotenoid metabolism has been studied extensively in microbial and plant science,the genetic mechanisms underlying carotenoid metabolism in cotton remain underexplored.Here,we isolated gene GbDYA that regulates a dark-yellow anther color by map-based cloning using a BC1F1 population derived from a cross of Gossypium barbadense acc.Hai7124 with dark-yellow anthers and G.hirsutum acc.TM-1 with light-yellow anthers backcrossed with TM-1.GbDYA encodes phytoene synthase,a key rate-limiting enzyme in the carotenoid biosynthesis pathway.A long terminal repeat retrotransposon in the first exon of GhDYA(an ortholog of GbDYA in G.hirsutum acc.TM-1)caused loss of function and led to the light-yellow anther color.GbDYA is predominantly expressed in the early stages of anther development.Transcriptome,RT-qPCR and KEGG enrichment analyses revealed that GbDYA influences the synthesis and accumulation of carotenoids in anthers by modulating expression of key genes in the carotenoid biosynthesis pathway.Integrated transcriptomic and metabolomic analyses indicated that the accumulation of lutein,violaxanthin,antherxanthin,cryptoxanthin,zeaxanthin,andβ-carotene contributed to yellow coloration of anthers.Dual-luciferase and yeast one-hybrid assays confirmed that transcription factor GbMYB105(GB_A11G3511)binds to the promoter of GbDYA and activates its expression.High-temperature stress treatment indicated that carotenoids accumulation in anthers enhances pollen antioxidant activity.This study unravels the role of GbDYA in conferring the anther coloration,and provides the potential utilization by modulating accumulation of carotenoids in anthers to enhance pollen viability in high-temperature tolerance breeding in cotton. 展开更多
关键词 Anther color Carotenoid biosynthesis Phytoene synthase Antioxidant activity Gossypium species
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Avient推出Colorant Chromatics PVDF加工助剂
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作者 钱伯章 《合成材料老化与应用》 2026年第1期97-97,共1页
俄亥俄州Avient Corporation公司宣布推出Colorant Chromatics^(TM)PVDF加工助剂,该助剂专门用于改善聚偏氟乙烯(PVDF)树脂的熔体加工。这些高性能的加工助剂可以提高PVDF挤出过程中的生产效率。他们可以减少或消除模具堆积更清洁,更一... 俄亥俄州Avient Corporation公司宣布推出Colorant Chromatics^(TM)PVDF加工助剂,该助剂专门用于改善聚偏氟乙烯(PVDF)树脂的熔体加工。这些高性能的加工助剂可以提高PVDF挤出过程中的生产效率。他们可以减少或消除模具堆积更清洁,更一致的挤压。它们还可以最大限度地减少缺陷并防止熔融断裂(鲨鱼皮),从而在最终产品中提供高质量的表面。使用这些专门的PVDF加工助剂还可以提高生产线速度,提高生产效率,降低总能耗。 展开更多
关键词 Avient 聚偏氟乙烯 PVDF Colorant Chromatics 加工助剂
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Pressure-induced tunable photoluminescence of Mn-doped post-perovskites(TDMP)PbBr_(4)
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作者 Ruijing Fu Junpeng Gao +4 位作者 Lingrui Wang Bin Xiao Guangxia Wang Qingguang Zeng Guanjun Xiao 《Chinese Chemical Letters》 2026年第2期536-539,共4页
One-dimensional(1D)organic-inorganic halide perovskites have produced significant research interest due to their unique structure and superior tunable luminescence properties.Here,we successfully achieved a unique col... One-dimensional(1D)organic-inorganic halide perovskites have produced significant research interest due to their unique structure and superior tunable luminescence properties.Here,we successfully achieved a unique color-tunable phenomenon of Mn-doped 1D post-perovskite(TDMP)PbBr_(4)(TDMP=trans-2,5-dimethylpiperazine)(TPBM-14)under high pressure.Which exhibited tunable photoluminescence(PL)emission from red to yellow orange.Meanwhile,the band gap continued to decrease below 20.0 GPa,accompanied by piezochromism,which was associated the shrinkage and distortion of inorganic,which enhances the crystal field splitting energy and reduces the energy gap of the ^(4)T_(1) to ^(6)A_(1) transition.The unique octahedral corner-and edge-sharing structure of(TDMP)PbBr_(4),the synergistic effect of Mn doping and pressure induces local lattice distortion in TPBM-14,leading to a significant enhancement of the STE emission at 8.1 GPa.Our research explores the intrinsic connection between the band structure and optical properties of TPBM-14 under high pressure and offers valuable insights for performance optimization. 展开更多
关键词 High pressure Piezochromism Mn-doped perovskite Emission color modulation One-dimensional organic-inorganic halide PEROVSKITE
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The Injective Chromatic Index of Planar Graphs with Maximum Degree 4
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作者 Yuliang ZHAO Lianying MIAO Shanshan ZHANG 《Journal of Mathematical Research with Applications》 2026年第2期153-163,共11页
An injective k-edge coloring of a graph G is k-edge coloringκof G such thatκ(e1)≠κ(e3)for any three consecutive edges ei,e2 and e3 of a path or a triangle.The injective chromatic index of G,denoted by x'i(G),i... An injective k-edge coloring of a graph G is k-edge coloringκof G such thatκ(e1)≠κ(e3)for any three consecutive edges ei,e2 and e3 of a path or a triangle.The injective chromatic index of G,denoted by x'i(G),is the smallest integer k such that G has an injective k-edge coloring.In this paper,we prove that x'i(G)≤9 if G is a planar graph with maximum degreeΔ≤4,girth g≥6 and without intersecting 6-cycles. 展开更多
关键词 njective edge coloring planar graph maximum degree GIRTH
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