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Trees,Unicyclic Graphs and Bicyclic Graphs with Exactly Two Q-main Eigenvalues

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Acta Mathematica Sinica,English Series 2013年第11期29卷 2193-2208页

作者： Lin CHEN qiong xiang huang College of Medical Engineering and Technology Xinjiang Medical University College of Mathematics and System Science Xinjiang University

The signless Laplacian matrix of a graph G is defined to be the sum of its adjacency matrix and degree diagonal matrix, and its eigenvalues are called Q-eigenvalues of G. A Q-eigenvalue of a graph G is called a Q-main eigenvalue if it has an eigenvector the sum of whose entries is not equal to zero. In this work, all trees, unicyclic graphs and bicyclic graphs with exactly two Q-main eigenvalues are determined.

关键词： Signless laplacian Q-main eigenvalue semi-edge walk matrix

Enumeration of Cubic Cayley Graphs on Dihedral Groups

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Acta Mathematica Sinica,English Series 2017年第7期33卷 996-1010页

作者： Xue Yi huang qiong xiang huang Lu LU College of Mathematics and Systems Science Xinjiang UniversityUrumqi 830046P.R.China

Let p be an odd prime, and D2p = （a,b I aP = b2 = l,bab= a 1） the dihedral group of order 2p. In this paper, we completely classify the cubic Cayley graphs on D2p up to isomorphism by means of spectral method. By the way, we show that two cubic Cayley graphs on D2p are isomorphic if and only if they are cospectral. Moreover, we obtain the number of isomorphic classes of cubic Cayley graphs on D2 by using Gauss＇ celebrated law of quadratic reciprocity.

关键词： Cayley graph dihedral group cospectral isomorphic classes quadratic reciprocity

A Classification of Spectrum-determined Circulant Digraphs

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Acta Mathematicae Applicatae Sinica 2018年第4期34卷 703-709页

作者： Zheng-xin QIN Ji-xiang MENG qiong-xiang huang School of Mathematics and Information Technology Jiangsu Second Normal University Nanjing 210013 China Department of Mathematics Xinjiang University Urumuqi 830054 China

Some researchers have proved that Adam＇s conjecture is wrong. However, under special conditions,it is right. Let Zn be a cyclic group of order n and Cn（S） be the circulant digraph of Zn with respect to S？Zn／{0}. In the literature, some people have used a spectral method to solve the isomorphism for the circulants of prime-power order. In this paper, we also use the spectral method to characterize the circulants of order paqbωc（where p,q and ω are all distinct primes）, and to make Adam＇s conjecture right.

关键词： Circulant digraph Isomorphism Spectrum Cyclotomic polynomial

Enhanced and asymmetric signatures of hybridization at climatic margins: Evidence from closely related dioecious fig species

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Plant Diversity 2024年第2期46卷 181-193页

作者： Jian-Feng huang Clive T.Darwell Yan-qiong Peng CAS Key Laboratory of Tropical Forest Ecology Xishuangbanna Tropical Botanical GardenChinese Academy of SciencesMengla 666303China National Center for Genetic Engineering and Biotechnology(BIOTEC) 113 Thailand Science ParkPhahonyothin RoadKhlong NuengKhlong LuangPathum Thani 12120Thailand

Hybridization plays a significant role in biological evolution. However, it is not clear whether ecological contingency differentially influences likelihood of hybridization, particularly at ecological margins where parental species may exhibit reduced fitnesses. Moreover, it is unknown whether future ecosystem change will increase the prevalence of hybridization. Ficus heterostyla and F. squamosa are closely related species co-distributed from southern Thailand to southwest China where hybridization, yielding viable seeds, has been documented. As a robust test of ecological factors driving hybridization, we investigated spatial hybridization signatures based on nuclear microsatellites from extensive population sampling across a widespread contact range. Both species showed high population differentiation and strong patterns of isolation by distance. Admixture estimates exposed asymmetric interspecific gene *** of hybridization increase significantly towards higher latitude zones, peaking at the northern climatic margins. Geographic variation in reproductive phenology combined with ecologically challenging marginal habitats may promote this phenomenon. Our work is a first systematic evaluation of such patterns in a comprehensive, latitudinally-based clinal context, and indicates that tendency to hybridize appears strongly influenced by environmental conditions. Moreover, that future climate change scenarios will likely alter and possibly augment cases of hybridization at ecosystem scales.

关键词： Hybridization Heterospecific visitation Fig Pollinator wasp Asymmetric gene flow

Lifetime-tunable circularly polarized luminescent system based on triplet-to-singlet F?rster resonance energy transfer

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Science China Chemistry 2024年第9期67卷 2918-2922页

作者： Zhenyi He Zizhao huang xiang Ma Key Laboratory for Advanced Materials and Feringa Nobel Prize Scientist Joint Research Center Institute of Fine Chemicals School of Chemistry and Molecular Engineering East China University of Science and Technology

Circularly polarized luminescence(CPL) materials have received widespread attention due to their remarkable performance and broad applications. However, current CPL material research primarily focuses on tunable color, intensity, and *** CPL with adjustable lifetime remains a significant challenge. Herein, a series of CPL polymeric materials with tunable lifetime were obtained by employing phosphorescent terephthalic acid and chiral organic small molecule R/S-BNAF(a luminescent binaphthol derivative) to copolymerize with acrylamide in different ratios. It was verified that this performance results from the different energy transfer efficiency between luminophores with varying ratios of the monomers for copolymerization. This strategy to realize CPL with tunable lifetime by modulating the energy transfer efficiency will provide a new perspective to broaden the applications of CPL materials.

关键词： circularly polarized luminescence tunable lifetime Förster resonance energy transfer room temperature phosphorescence

Advanced Machine Learning Methods for Prediction of Blast-Induced Flyrock Using Hybrid SVR Methods

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Computer Modeling in Engineering & Sciences 2024年第8期140卷 1595-1617页

作者： Ji Zhou Yijun Lu qiong Tian Haichuan Liu Mahdi Hasanipanah Jiandong huang College of Civil and Environmental Engineering Hunan University of Science and EngineeringYongzhou425006China Hunan Provincial Key Laboratory of Intelligent Protection and Utilization Technology in Masonry Artifacts Hunan University of Science and EngineeringYongzhou425006China School of Civil Engineering Guangzhou UniversityGuangzhou510006China Institute of Research and Development Duy Tan UniversityDa Nang550000Vietnam School of Engineering&Technology Duy Tan UniversityDa Nang550000Vietnam

Blasting in surface mines aims to fragment rock masses to a proper ***,flyrock is an undesirable effect of blasting that can result in human *** this study,support vector regression(SVR)is combined with four algorithms:gravitational search algorithm(GSA),biogeography-based optimization(BBO),ant colony optimization(ACO),and whale optimization algorithm(WOA)for predicting flyrock in two surface mines in ***,three other methods,including artificial neural network(ANN),kernel extreme learning machine(KELM),and general regression neural network(GRNN),are employed,and their performances are compared to those of four hybrid SVR *** modeling,the measured and predicted flyrock values are validated with some performance indices,such as root mean squared error(RMSE).The results revealed that the SVR-WOA model has the most optimal accuracy,with an RMSE of 7.218,while the RMSEs of the KELM,GRNN,SVR-GSA,ANN,SVR-BBO,and SVR-ACO models are 10.668,10.867,15.305,15.661,16.239,and 18.228,***,combining WOA and SVR can be a valuable tool for accurately predicting flyrock distance in surface mines.

关键词： Flyrock induced by blasting optimization algorithms SVR GRNN

Asymmetric Electrolytes Design for Aqueous Multivalent Metal Ion Batteries

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Nano-Micro Letters 2024年第3期16卷 227-253页

作者： Xiaochen Yang Xinyu Wang Yue xiang Longtao Ma Wei huang Frontiers Science Center for Flexible Electronics Institute of Flexible ElectronicsNorthwestern Polytechnical UniversityXi’an 710072People’s Republic of China School of Materials Science and Engineering Guangdong Provincial Key Laboratory of Advanced Energy Storage MaterialsSouth China University of TechnologyGuangzhou 510641People’s Republic of China

With the rapid development of portable electronics and electric road vehicles,high-energy-density batteries have been becoming front-burner ***,homogeneous electrolyte cannot simultaneously meet diametrically opposed demands of high-potential cathode and low-potential anode,which are essential for high-voltage ***,homogeneous electrolyte is difficult to achieve bi-or multi-functions to meet different requirements of *** comparison,the asymmetric electrolyte with bi-or multi-layer disparate components can satisfy distinct requirements by playing different roles of each electrolyte layer and meanwhile compensates weakness of individual ***,the asymmetric electrolyte can not only suppress by-product sedimentation and continuous electrolyte decomposition at the anode while preserving active substances at the cathode for high-voltage batteries with long cyclic *** this review,we comprehensively divide asymmetric electrolytes into three categories:decoupled liquid-state electrolytes,bi-phase solid/liquid electrolytes and decoupled asymmetric solid-state *** design principles,reaction mechanism and mutual compatibility are also studied,***,we provide a comprehensive vision for the simplification of structure to reduce costs and increase device energy density,and the optimization of solvation structure at anolyte/catholyte interface to realize fast ion transport kinetics.

关键词： Asymmetric electrolyte Aqueous multivalent metal ion batteries Electrochemical stability windows Electrolyte interface

Meta-Auto-Decoder:a Meta-Learning-Based Reduced Order Model for Solving Parametric Partial Differential Equations

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Communications on Applied Mathematics and Computation 2024年第2期6卷 1096-1130页

作者： Zhanhong Ye xiang huang Hongsheng Liu Bin Dong Beijing International Center for Mathematical Research Peking UniversityBeijing 100871China School of Computer Science and Technology University of Science and Technology of ChinaHefei 230027AnhuiChina Central Software Institute Huawei Technologies Co.LtdHangzhou 310007ZhejiangChina Center for Machine Learning Research Peking UniversityBeijing 100871China

Many important problems in science and engineering require solving the so-called parametric partial differential equations(PDEs),i.e.,PDEs with different physical parameters,boundary conditions,shapes of computational domains,*** reduced order modeling techniques accelerate the solution of the parametric PDEs by projecting them onto a linear trial manifold constructed in the ofline *** methods often need a predefined mesh as well as a series of precomputed solution snapshots,and may struggle to balance between the efficiency and accuracy due to the limitation of the linear *** the nonlinear representation of neural networks(NNs),we propose the Meta-Auto-Decoder(MAD)to construct a nonlinear trial manifold,whose best possible performance is measured theoretically by the decoder *** on the meta-learning concept,the trial manifold can be learned in a mesh-free and unsupervised way during the pre-training *** adaptation to new(possibly heterogeneous)PDE parameters is enabled by searching on this trial manifold,and optionally fine-tuning the trial manifold at the same *** numerical experiments show that the MAD method exhibits a faster convergence speed without losing the accuracy than other deep learning-based methods.

关键词： Parametric partial differential equations(PDEs) Meta-learning Reduced order modeling Neural networks(NNs) Auto-decoder

Comparative study of the effects of Tartary buckwheat seed and sprout consumption on the physiological indices and gut microbiota of C57BL/6J mice

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Food Science and Human Wellness 2024年第2期13卷 791-800页

作者： Guohui Nan Haixia Zhao qiong Wu Lisong Liu Zichao Guan Chenglei Li Huala Wu Dabing xiang Qi Wu College of Life Science Sichuan Agricultural UniversityYa'an 625014China Faculty of Quality Management and Inspection&Quarantine Yibin UniversityYibin 644000China College of Pharmacy and Biological Engineering Chengdu UniversityChengdu 610106China

Tartary buckwheat(Fagopyrum tataricum)is a well-known pseudocereal for its health and economic ***,abundant antinutritional factors(ANFs)reduces its health *** reported,germination can improve the nutritional profile of *** this study,we systematically evaluate the safety of Tartary buckwheat seeds(TB)and Tartary buckwheat sprouts(TBS)used as high active *** evaluating nutrition levels,bioactive compounds and ANFs in TBS during germinating,5^(th)-day TBS were selected as the raw material.C57BL/6J mice were gavaged daily with distilled water,TB,or TBS for 6 *** physiological indices related to ANFs were *** showed that the TB intake tends to generate negative effects on the gut microbiota,and ***,upon TB intake,the Fe^(3+)content in serum,trypsin activity in pancreas and jejunum decreased,while the cytokine,IgE,and histamine levels in serum,water content in faeces,cytokine levels in liver and jejunum ***,TBS did not induce any obvious negative effects on the above relevant indices and showed better lipid-lowering ***,TBS are safer and more effective as a raw material to produce the functional food for long-term consumption with the intention of preventing and treating hyperlipidaemia.

关键词： Tartary buckwheat Tartary buckwheat sprouts Antinutritional factors Gut microbiota Health effect