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Acyclic Edge Coloring of Planar Graphs without Adjacent Triangles 被引量:3
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作者 DezhengXIE YanqingWU 《Journal of Mathematical Research with Applications》 CSCD 2012年第4期407-414,共8页
An acyclic edge coloring of a graph G is a proper edge coloring such that there are no bichromatic cycles.The acyclic edge chromatic number of a graph G is the minimum number k such that there exists an acyclic edge c... An acyclic edge coloring of a graph G is a proper edge coloring such that there are no bichromatic cycles.The acyclic edge chromatic number of a graph G is the minimum number k such that there exists an acyclic edge coloring using k colors and is denoted by χ’ a(G).In this paper we prove that χ ’ a(G) ≤(G) + 5 for planar graphs G without adjacent triangles. 展开更多
关键词 acyclic edge coloring acyclic edge chromatic number planar graph.
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A new acyclic peroxide from Aspergillus nidulans SD-531,a fungus obtained from deep-sea sediment of cold spring in the South China Sea 被引量:5
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作者 LÜFengyi LI Xiaoming +2 位作者 CHI Luping MENG Linghong WANG Bingui 《Journal of Oceanology and Limnology》 SCIE CAS CSCD 2020年第4期1225-1232,I0031-I0039,共17页
A new acyclic peroxide derivative asperoxide A(1),along with 13 known compounds,namely,microperfuranone(2),9-hydroxymicroperfuranone(3),gibellulin A(4),lecanoric acid(5),terrequinone A(6),sterigmatocystin(7),isosecost... A new acyclic peroxide derivative asperoxide A(1),along with 13 known compounds,namely,microperfuranone(2),9-hydroxymicroperfuranone(3),gibellulin A(4),lecanoric acid(5),terrequinone A(6),sterigmatocystin(7),isosecosterigmatocystin(8),arugosin C(9),curvularin(10),3,3'-diindolylmethane(11),austinol(12),austin(13),and dehydroaustin(14),were isolated and identified from the culture extract of Aspergillus nidulans SD-531,a fungus obtained from the deep-sea sediment of cold spring in the South China Sea.Their structures were determined based on detailed interpretation of nuclear magnetic resonance(NMR)spectroscopic and mass spectrometry data analysis.All the isolated compounds were evaluated for antimicrobial activities against human and aquatic bacteria as well as plant pathogenic fungi.Compounds 1–8,10,and 11 exhibited antimicrobial activities against some of the tested strains with minimum inhibitory concentration(MIC)values ranging from^2 to 64μg/mL.Compounds 4 and 6 displayed strongest activities among the tested samples and might be used as promising molecules for the development of natural antimicrobial agents. 展开更多
关键词 acyclic peroxide Aspergillus nidulans cold spring fungus antimicrobial activity
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On the adjacent vertex-distinguishing acyclic edge coloring of some graphs 被引量:5
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作者 SHIU Wai Chee CHAN Wai Hong +1 位作者 ZHANG Zhong-fu BIAN Liang 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2011年第4期439-452,共14页
A proper edge coloring of a graph G is called adjacent vertex-distinguishing acyclic edge coloring if there is no 2-colored cycle in G and the coloring set of edges incident with u is not equal to the coloring set of ... A proper edge coloring of a graph G is called adjacent vertex-distinguishing acyclic edge coloring if there is no 2-colored cycle in G and the coloring set of edges incident with u is not equal to the coloring set of edges incident with v, where uv∈ E(G). The adjacent vertex distinguishing acyclic edge chromatic number of G, denoted by X'Aa(G), is the minimal number of colors in an adjacent vertex distinguishing acyclic edge coloring of G. If a graph G has an adjacent vertex distinguishing acyclic edge coloring, then G is called adjacent vertex distinguishing acyclic. In this paper, we obtain adjacent vertex-distinguishing acyclic edge coloring of some graphs and put forward some conjectures. 展开更多
关键词 Adjacent strong edge coloring adjacent vertex-distinguishing acyclic edge coloring.
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COINCIDENCE THEOREMS INVOKING COMPOSITES OF ACYCLIC MAPPINGS AND APPLICATIONS 被引量:2
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作者 丁协平 《Acta Mathematica Scientia》 SCIE CSCD 1999年第1期53-61,共9页
Some new coincidence theorems involving a new class of set-valued mappingscontaining composites of acyclic mappings defined on a contractible space are proved.As applications, some existence theorems of maximal elemen... Some new coincidence theorems involving a new class of set-valued mappingscontaining composites of acyclic mappings defined on a contractible space are proved.As applications, some existence theorems of maximal elements and solutions of abstract variational inequalities, and best approximation theorems are proved. These theorems improve and generalize a number of known results in recent literature. 展开更多
关键词 Coincidence theorem maximal element variational inequality best approximation contractible space composites of acyclic mappings
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Design,synthesis and in vitro evaluation of mono(2,2,2-trifluoroethyl)esters,mono L-amino acid ester prodrugs of acyclic nucleoside phosphonates as anti-HBV agents 被引量:2
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作者 Xiao Zhong Fu Yu Ou +1 位作者 Jan Xin Yu She Yang 《Chinese Chemical Letters》 SCIE CAS CSCD 2011年第12期1387-1390,共4页
A series of novel mono(2,2,2-trifluoroethyl) esters,mono L-amino acid ester prodrugs of acyclic nucleoside phosphonates was synthesized and their in vitro anti-HBVactivity was evaluated in HepG 2 2.2.15 cells.Compou... A series of novel mono(2,2,2-trifluoroethyl) esters,mono L-amino acid ester prodrugs of acyclic nucleoside phosphonates was synthesized and their in vitro anti-HBVactivity was evaluated in HepG 2 2.2.15 cells.Compound 1d exhibited more potent anti-HBV activity and lower cytotoxicity than those of adefovir dipivoxil and alamifovir(MCC-478) with EC_(50) and CC_(50) values of 0.01μmol/L and 8000μmol/L respectively. 展开更多
关键词 acyclic nucleoside phosphonates L-Amino acid PRODRUG
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Ferrocene-containing Polymers Synthesized by Acyclic Diene Metathesis(ADMET)Polymerization 被引量:2
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作者 张浩 Fang Liu +2 位作者 Jing Cao Li Ling Ran-feng Sun 《Chinese Journal of Polymer Science》 SCIE CAS CSCD 2016年第2期242-252,共11页
Herein we reported that ferrocene-containing polymers could be synthesized via acyclic diene metathesis (ADMET) polymerization of ferrocene-containing bis-styryl monomers. The all-trans-configured vinylene bonds of ... Herein we reported that ferrocene-containing polymers could be synthesized via acyclic diene metathesis (ADMET) polymerization of ferrocene-containing bis-styryl monomers. The all-trans-configured vinylene bonds of stilbene segment were proven by means of ^13C-NMR, ^1H-NMR, MALDI-TOF mass spectrometry and FTIR. Poly(1) showed maxima for absorption at 320 nm and emission at 430 nm which are structurally very similar to trans-stilbene, but 24 and 16 nm red shifted respectively. CIE chromaticity diagram shows that emission color could be adjusted by controlling the molecular weight. The polymer showed excellent solubility in common organic solvents and good thermal stability evidenced by TGA and DSC. The results of CV suggested the polymer possessed noninteracting metal centers which was confirmed by a reversible one-electron redox wave observed for the polymer. 展开更多
关键词 FERROCENE Polymers acyclic diene metathesis polymerization (ADMET).
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Studies on Heterobinuclear Complexes of Ln^(3+) and Zn^(2+) with Acyclic Polyether Schiff Base 被引量:1
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作者 Wu, J Yao, KM Shen, LF 《Journal of Rare Earths》 SCIE EI CAS CSCD 1999年第2期79-81,共3页
Eight novel heterobinuclear complexes of Ln3+ and Zn2+ with salicylidene diethylene glycol diamine(SALDA) Schiff base (NO3)22H2O(Ln=Pr, Nd, Sm, Gd, Tb, Er, Yb, Y) were synthesized and characterized on the basis of IR... Eight novel heterobinuclear complexes of Ln3+ and Zn2+ with salicylidene diethylene glycol diamine(SALDA) Schiff base (NO3)22H2O(Ln=Pr, Nd, Sm, Gd, Tb, Er, Yb, Y) were synthesized and characterized on the basis of IR and UV, particularly by1H and13C NMR spectra. It is confirmed that the azomethine nitrogen, ethereal oxygen and a part of phenolic oxygen atoms coordinate to the central ions. 展开更多
关键词 Rare earths Zinc acyclic schiff base Heterobinuclear complex Synthesis
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Design, synthesis and in vitro evaluation of L-amino acid esters prodrugs of acyclic nucleoside phosphonates as anti-HBV agent 被引量:1
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作者 Xiao Zhong Fu Sai Hong Jiang +2 位作者 Jian Xin Yu She Yang RU Yun Ji 《Chinese Chemical Letters》 SCIE CAS CSCD 2007年第7期817-819,共3页
A series of novel L-amino acid esters prodrugs of acyclic nucleoside phosphonates was synthesized and their anti-HBV activity was evaluated in HepG2 2.2.15 cells. Compound 1d exhibited more potent anti-HBV activity an... A series of novel L-amino acid esters prodrugs of acyclic nucleoside phosphonates was synthesized and their anti-HBV activity was evaluated in HepG2 2.2.15 cells. Compound 1d exhibited more potent anti-HBV activity and lower cytotoxicity than those of adefovir dipivoxil with EC50 and CC50 values of 0.207 μmol/L and 2530 μmol/L, respectively. 展开更多
关键词 acyclic nucleoside phosphonates L-Amino acid PRODRUG Anti-HBV activity
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Multi-Class Support Vector Machine Classifier Based on Jeffries-Matusita Distance and Directed Acyclic Graph 被引量:1
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作者 Miao Zhang Zhen-Zhou Lai +1 位作者 Dan Li Yi Shen 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2013年第5期113-118,共6页
Based on the framework of support vector machines (SVM) using one-against-one (OAO) strategy, a new multi-class kernel method based on directed aeyclie graph (DAG) and probabilistic distance is proposed to raise... Based on the framework of support vector machines (SVM) using one-against-one (OAO) strategy, a new multi-class kernel method based on directed aeyclie graph (DAG) and probabilistic distance is proposed to raise the multi-class classification accuracies. The topology structure of DAG is constructed by rearranging the nodes' sequence in the graph. DAG is equivalent to guided operating SVM on a list, and the classification performance depends on the nodes' sequence in the graph. Jeffries-Matusita distance (JMD) is introduced to estimate the separability of each class, and the implementation list is initialized with all classes organized according to certain sequence in the list. To testify the effectiveness of the proposed method, numerical analysis is conducted on UCI data and hyperspectral data. Meanwhile, comparative studies using standard OAO and DAG classification methods are also conducted and the results illustrate better performance and higher accuracy of the orooosed JMD-DAG method. 展开更多
关键词 multi-class classification support vector machine directed acyclic graph Jeffries-Matusitadistance hyperspcctral data
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A Note on Acyclic Edge Colouring of Star Graph Families 被引量:1
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作者 P. Shanasbabu A. V. Chithra 《American Journal of Computational Mathematics》 2015年第3期253-257,共5页
A proper edge colouring f of a graph G is called acyclic if there are no bichromatic cycles in the graph. The acyclic edge chromatic number or acyclic chromatic index, denoted by , is the minimum number of colours in ... A proper edge colouring f of a graph G is called acyclic if there are no bichromatic cycles in the graph. The acyclic edge chromatic number or acyclic chromatic index, denoted by , is the minimum number of colours in an acyclic edge colouring of G. In this paper, we discuss the acyclic edge colouring of middle, central, total and line graphs of prime related star graph families. Also exact values of acyclic chromatic indices of such graphs are derived and some of their structural properties are discussed. 展开更多
关键词 acyclic Edge COLOURING acyclic CHROMATIC Index MIDDLE GRAPH Central GRAPH Total GRAPH Line GRAPH
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Nickel(Ⅱ)-catalyzed asymmetric alkylation of acyclic oxocarbenium ions with carboxylic acid derivatives
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作者 Pengbo Ye Xuan Liu +1 位作者 Gang Wang Lei Liu 《Chinese Chemical Letters》 SCIE CAS CSCD 2021年第3期1237-1240,共4页
A nickel(Ⅱ)-catalyzed asymmetric alkylation of acyclic oxocarbenium ions generated in situ from corresponding acetals with carboxylic acid derivatives to prepareβ-alkoxyl carbonyl moieties with diverseα-substituent... A nickel(Ⅱ)-catalyzed asymmetric alkylation of acyclic oxocarbenium ions generated in situ from corresponding acetals with carboxylic acid derivatives to prepareβ-alkoxyl carbonyl moieties with diverseα-substituents has been disclosed.The method exhibited broad scope of acetals and carboxylic acid derivatives with excellent enantioselectivity and good functional group compatibility,and can be conducted in a gram-scale without obvious loss of efficiency. 展开更多
关键词 Oxocarbenium ion acyclic NICKEL Asymmetric catalysis ALKYLATION
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Aphamines A-C,dimeric acyclic diterpene enantiomers from Aphanamixis polystachya
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作者 Panpan Zhang Shang Xue +4 位作者 Pengfei Tang Zhirong Cui Zefan Wang Jun Luo Lingyi Kong 《Chinese Chemical Letters》 SCIE CAS CSCD 2021年第4期1480-1484,共5页
Aphamines A-C(1-3),three pairs of acyclic diterpene dimer enantiomers with an unprecedent ploymerization pattern,were discovered from Aphanamixis polystachya by NMR-guided isolation and chiral resolution.The elucidati... Aphamines A-C(1-3),three pairs of acyclic diterpene dimer enantiomers with an unprecedent ploymerization pattern,were discovered from Aphanamixis polystachya by NMR-guided isolation and chiral resolution.The elucidation of their novel carbon skeletons was achieved based on spectroscopic analysis,exciton chirality,and calculated electronic circular dichroism(ECD).Plausible Claisen rearrangement,5-exo-trig cyclization,and reduction reactions may play important roles in the polymeric biosynthesis pathway.Compounds 1 and 3 showed inhibitory effects on nitric oxide(NO)production(IC_(50):6.71-15.36 μmol/L) and reduced the expression of iNOS in LPS-induced RAW 264.7 macrophages. 展开更多
关键词 Aphanamixis polystachya acyclic diterpene dimer NMR-guided isolation Chiral resolution Anti-inflammatory activity
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β-acyclic based on extended strict confilict-free
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作者 刘文远 郝忠孝 王亚东 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2000年第4期34-37,共4页
Introduces the concepts of strict conflict free and extended strict conflict free,proves decomposition satisfies lossless join,keep dependency, β acyclic and 4NF if and only if Γ is extended strict conflict free in ... Introduces the concepts of strict conflict free and extended strict conflict free,proves decomposition satisfies lossless join,keep dependency, β acyclic and 4NF if and only if Γ is extended strict conflict free in the mixed environment,proposes the algorithm of getting degenerated MVDS sets,judging conflict free,judging stric conflict free and β acyclic decomposition in mixed environment,and illustrates with an example that the complexity of algorithm is linear. 展开更多
关键词 MIXED DEPENDENCY β acyclic scheme DECOMPOSITION
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THE BEST APPROXIMATION AND COINCIDENCE THEOREMS FOR COMPOSITES OF ACYCLIC MAPPINGS
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作者 丁协平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1999年第5期23-32,共10页
Some new coincidence theorem s involving a new class of set_valued mappings containing composites of acyclic mappings defined in a contractible space are proved. For applications, some best approximation theorems an... Some new coincidence theorem s involving a new class of set_valued mappings containing composites of acyclic mappings defined in a contractible space are proved. For applications, some best approximation theorems and coincidence theorems for set-valued mappings are als o given. A number of known results in recent literature are improved and general ized by the theorems in this paper. 展开更多
关键词 coincidence theorems the best approximation contractible space composites of acyclic mappings
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Test Generation and Design-for-Testability Based on Acyclic Structure with Hold Registers
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作者 Tomoo Inoue Debesh Kumar Das +2 位作者 Chiiho Sano Takahiro Mihara Hideo Fujiwara 《湖南大学学报(自然科学版)》 EI CAS CSCD 2000年第S2期1-10,共10页
We present a method of test generation for acyclic sequential circuits with hold registers. A complete (100% fault efficiency) test sequence for an acyclic sequential circuit can be obtained by applying a combinationa... We present a method of test generation for acyclic sequential circuits with hold registers. A complete (100% fault efficiency) test sequence for an acyclic sequential circuit can be obtained by applying a combinational test generator to all the maximal time-expansion models (TEMs) of the circuit. We propose a class of acyclic sequential circuits for which the number of maximal TEMs is one, i.e, the maximum TEM exists. For a circuit in the class, test generation can be performed by using only the maximum TEM. The proposed class of sequential circuits with the maximum TEM properly includes several known classes of acyclic sequential circuits such as balanced structures and acyclic sequential circuits without hold registers for which test generation can be also performed by using a combinational test generator. Therefore, in general, the hardware overhead for partial scan based on the proposed structure is smaller than that based on balanced or acyclic sequential structure without hold registers. 展开更多
关键词 acyclic sequential circuits combinational test generation hold registers maximum time-expansion model partial scan
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Directed Acyclic Graph Blockchain for Secure Spectrum Sharing and Energy Trading in Power IoT
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作者 Zixi Zhang Mingxia Zhang +2 位作者 Yu Li Bo Fan Li Jiang 《China Communications》 SCIE CSCD 2023年第5期182-197,共16页
Peer-to-peer(P2P)spectrum sharing and energy trading are promising solutions to locally satisfy spectrum and energy demands in power Internet of Things(IoT).However,implementation of largescale P2P spectrum sharing an... Peer-to-peer(P2P)spectrum sharing and energy trading are promising solutions to locally satisfy spectrum and energy demands in power Internet of Things(IoT).However,implementation of largescale P2P spectrum sharing and energy trading confronts security and privacy challenges.In this paper,we exploit consortium blockchain and Directed Acyclic Graph(DAG)to propose a new secure and distributed spectrum sharing and energy trading framework in power IoT,named spectrum-energy chain,where a set of local aggregators(LAGs)cooperatively confirm the identity of the power devices by utilizing consortium blockchain,so as to form a main chain.Then,the local power devices verify spectrum and energy micro-transactions simultaneously but asynchronously to form local spectrum tangle and local energy tangle,respectively.Moreover,an iterative double auction based micro transactions scheme is designed to solve the spectrum and energy pricing and the amount of shared spectrum and energy among power devices.Security analysis and numerical results illustrate that the developed spectrum-energy chain and the designed iterative double auction based microtransactions scheme are secure and efficient for spectrum sharing and energy trading in power IoT. 展开更多
关键词 power Internet of Things(IoT) spectrum sharing energy trading security and privacy consortium blockchain Directed acyclic Graph(DAG) iterative double auction
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SYNTHESIS OF ASYMMETRIC ETHERS CLEAVAGE OF ACYCLIC ACETALS WITH ZrCl_4-LiAlH_4
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作者 Shao Zu WU Yu Lan ZHANG Tian Hui REN 《Chinese Chemical Letters》 SCIE CAS CSCD 1991年第12期911-912,共2页
In this paper, we investigated the selective cleavage of acyclic acetals with the reagent system, ZrCl_4-LiAlH_4. The results indicate that this system is very useful for the cleavage of acyclic acetals to the corresp... In this paper, we investigated the selective cleavage of acyclic acetals with the reagent system, ZrCl_4-LiAlH_4. The results indicate that this system is very useful for the cleavage of acyclic acetals to the corresponding asymmetric ethers. 展开更多
关键词 SYNTHESIS OF ASYMMETRIC ETHERS CLEAVAGE OF acyclic ACETALS WITH ZrCl4-LiAlH4 OVER ZHANG
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A Secure Microgrid Data Storage Strategy with Directed Acyclic Graph Consensus Mechanism
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作者 Jian Shang Runmin Guan Wei Wang 《Intelligent Automation & Soft Computing》 SCIE 2023年第9期2609-2626,共18页
The wide application of intelligent terminals in microgrids has fueled the surge of data amount in recent years.In real-world scenarios,microgrids must store large amounts of data efficiently while also being able to ... The wide application of intelligent terminals in microgrids has fueled the surge of data amount in recent years.In real-world scenarios,microgrids must store large amounts of data efficiently while also being able to withstand malicious cyberattacks.To meet the high hardware resource requirements,address the vulnerability to network attacks and poor reliability in the tradi-tional centralized data storage schemes,this paper proposes a secure storage management method for microgrid data that considers node trust and directed acyclic graph(DAG)consensus mechanism.Firstly,the microgrid data storage model is designed based on the edge computing technology.The blockchain,deployed on the edge computing server and combined with cloud storage,ensures reliable data storage in the microgrid.Secondly,a blockchain consen-sus algorithm based on directed acyclic graph data structure is then proposed to effectively improve the data storage timeliness and avoid disadvantages in traditional blockchain topology such as long chain construction time and low consensus efficiency.Finally,considering the tolerance differences among the candidate chain-building nodes to network attacks,a hash value update mechanism of blockchain header with node trust identification to ensure data storage security is proposed.Experimental results from the microgrid data storage platform show that the proposed method can achieve a private key update time of less than 5 milliseconds.When the number of blockchain nodes is less than 25,the blockchain construction takes no more than 80 mins,and the data throughput is close to 300 kbps.Compared with the traditional chain-topology-based consensus methods that do not consider node trust,the proposed method has higher efficiency in data storage and better resistance to network attacks. 展开更多
关键词 MICROGRID data security storage node trust degree directed acyclic graph data structure consensus mechanism secure multi-party computing blockchain
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Two New Acyclic Diterpene- γ-lactones from the Leaves of Salix matsudana
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作者 JinXinWANG ShangZhenZHENG 《Chinese Chemical Letters》 SCIE CAS CSCD 2002年第5期432-435,共4页
Two new acyclic diterpene-g-lactones named hanliuine III (1) and hanliuine IV (2) were isolated from leaves of Salix matsudana (Chinese name 揾anliu?. Their structures were deduced from spectral data.
关键词 Salix matsudana acyclic diterpene - g-lactone.
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SYNTHESIS OF ACYCLIC ANALOGS OF BENZOTRIAZOLE AND INDOLE NUCLEOSIDE CONTAINING PERFLUOROALKYL GROUP
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作者 Bao Guo HUANG Yao Quan CHEN 《Chinese Chemical Letters》 SCIE CAS CSCD 1992年第10期771-772,共2页
1-[(2-hydroxyethoxy)methyl]benzotriazole and -indole containing perfluoroalkyl group have been synthesized.
关键词 HRMS SYNTHESIS OF acyclic ANALOGS OF BENZOTRIAZOLE AND INDOLE NUCLEOSIDE CONTAINING PERFLUOROALKYL GROUP
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