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A Note About Sensitivity and Transitive Sensitivity for Linear Operators
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作者 YAO Quanquan ZHU Peiyong 《数学进展》 CSCD 北大核心 2024年第6期1271-1284,共14页
Let(X,T) be a linear dynamical system,where X is a Banach space over C and T:X→X is a bounded linear operator.We show that if(X,T) is sensitive and not cofinitely sensitive,then σ(T) ∩T≠?,where σ(T) is the spectr... Let(X,T) be a linear dynamical system,where X is a Banach space over C and T:X→X is a bounded linear operator.We show that if(X,T) is sensitive and not cofinitely sensitive,then σ(T) ∩T≠?,where σ(T) is the spectrum of T and T={λ∈C:|λ|=1},and that there is a non-hypercyclic,sensitive system(X,T) which is not syndetically sensitive.We also show that there is a transitively sensitive system(X,T) which is mean sensitive but not multi-transitively sensitive. 展开更多
关键词 sensitivity SPECTRUM transitive sensitivity syndetic sensitivity
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Assessing Dual Approaches for Ranking Score Computation via Transitive Triads
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作者 Bowen Liu 《Journal of Applied Mathematics and Physics》 2024年第11期4020-4029,共10页
The possibility of developing a complete graph invariant computable in polynomial time remains an open question. Consequently, creating efficient algorithms to verify non-isomorphism, including heuristic approaches, i... The possibility of developing a complete graph invariant computable in polynomial time remains an open question. Consequently, creating efficient algorithms to verify non-isomorphism, including heuristic approaches, is essential. Effective implementation of these heuristics necessitates both the adaptation of existing graph invariants and the invention of novel ones, which continues to be a relevant challenge. Numerous current invariants are capable of distinguishing a significant number of graphs rapidly in real-time scenarios. In this study, we present an invariant tailored for tournaments, a specific class of directed graphs. Tournaments are particularly intriguing because the count of distinct tournaments for a given number of vertices aligns with that of undirected graphs of the same size. The introduced invariant evaluates all possible tournament subsets derived from the original digraph that share the identical arc set. For each subset tournament, standard rankings are computed and aggregated to produce the final vertex scores, which serve as the new invariant. Our analysis indicates that this newly proposed invariant diverges from the most straightforward tournament invariant, which typically assigns scores to each participant. Preliminary computational tests demonstrate that the minimal correlation between the sequences generated by these two invariants occurs at a vertex count of 15. 展开更多
关键词 Graph Invariant Directed Graphs Tournament Theory transitive Triads
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FLIGHT CLASSIFICATION MODEL BASED ON TRANSITIVE CLOSURE ALGORITHM AND APPLICATION TO FLIGHT SEQUENCING PROBLEM 被引量:3
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作者 李雄 徐肖豪 李冬宾 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2007年第1期31-35,共5页
A new arrival and departure flight classification method based on the transitive closure algorithm (TCA) is proposed. Firstly, the fuzzy set theory and the transitive closure algorithm are introduced. Then four diff... A new arrival and departure flight classification method based on the transitive closure algorithm (TCA) is proposed. Firstly, the fuzzy set theory and the transitive closure algorithm are introduced. Then four different factors are selected to establish the flight classification model and a method is given to calculate the delay cost for each class. Finally, the proposed method is implemented in the sequencing problems of flights in a terminal area, and results are compared with that of the traditional classification method(TCM). Results show that the new classification model is effective in reducing the expenses of flight delays, thus optimizing the sequences of arrival and departure flights, and improving the efficiency of air traffic control. 展开更多
关键词 air traffic control transitive closure algorithm cost of flight delay classification model
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On k-Transitive Closures of Directed Paths
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作者 Krzysztof Pszczola 《Advances in Pure Mathematics》 2015年第12期733-737,共5页
In this paper we study the structure of k-transitive closures of directed paths and formulate several properties. Concept of k-transitive orientation generalizes the traditional concept of transitive orientation of a ... In this paper we study the structure of k-transitive closures of directed paths and formulate several properties. Concept of k-transitive orientation generalizes the traditional concept of transitive orientation of a graph. 展开更多
关键词 DIGRAPH transitive Graph k-transitive Digraph k-transitive Closure of an Oriented Graph
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Graphs on which a group of order pq acts edge-transitively
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作者 CHEN Shang-di GUO Yan-hong 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2010年第4期489-495,共7页
Let F be a finite simple undirected graph with no isolated vertices. Let p, q be prime numbers with p≥q. We complete the classification of the graphs on which a group of order pq acts edge-transitively. The results a... Let F be a finite simple undirected graph with no isolated vertices. Let p, q be prime numbers with p≥q. We complete the classification of the graphs on which a group of order pq acts edge-transitively. The results are the following. If Aut(Г) contains a subgroup G of order pq that acts edge-transitively on F, then F is one of the following graphs: (1) pK1,1; (2) pqK1,1; (3) pgq,1; (4) qKp,1 (p 〉 q); (5) pCq (q 〉 2); (6) qCp (p 〉 q); (7) Cp (p 〉 q = 2); (8) Cpq; (9) (Zp, C) whereC={±r^μ |μ∈Zq} withq〉2, q|(p-1) and r≠1≡r^q (modp); (10) Kp,1 (p 〉 q); (11) a double Cayley graph B(G,C) with C = {1-r^μ | μ ∈ Zq} and r≠1≡r^q (modp); (12) Kpq,1;or (13) Kp,q. 展开更多
关键词 Graph EDGE-transitive vertex transitive.
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Practical Method for Determining All the Minimum Solutions of Fuzzy Matrix Equation and Transitive Closure of Fuzzy Relation 被引量:2
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作者 阎家杰 赵万忠 《Chinese Quarterly Journal of Mathematics》 CSCD 1993年第4期99-103,共5页
In this paper,the new theory frame and practical methhod for determining all the minimum solutions of Fuzzy matrix equation and transitive closure of Fuzzy relation is described,and it has been carried out on the mier... In this paper,the new theory frame and practical methhod for determining all the minimum solutions of Fuzzy matrix equation and transitive closure of Fuzzy relation is described,and it has been carried out on the miero-computer quickly and accurately. 展开更多
关键词 fuzzy matrix equation minimum solution fuzzy relation transitive closure
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The Properties of Transitive Bipartite Tournaments 被引量:1
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作者 谭尚旺 张德龙 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第4期358-363,共6页
Let Γm,n^* denote all m × n strongly connected bipartite tournaments and a(m, n) the maximal integer k such that every m × n bipartite tournament contains at least a k × k transitive bipartite subtour... Let Γm,n^* denote all m × n strongly connected bipartite tournaments and a(m, n) the maximal integer k such that every m × n bipartite tournament contains at least a k × k transitive bipartite subtournament. Let t ( m, n, k, l ) = max{t( Tm,n,k, l ) : Tm,n∈Γm,n^*}, where t ( Tm,n, k, l ) is the number of k × l(k≥2,l≥2) transitive bipartite subtournaments contained in Tm,n∈Γm,n^*. We obtain a method of graph theory for solving some integral programmings, investigate the upper bounds of a(m,n) and obtain t (m,n, k,l). 展开更多
关键词 reverse arc transitive bipartite tournament ENUMERATION
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The components transitive regularity of three dosage forms of Liuwei Dihuang Fufang 被引量:2
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作者 ZHU Junping ZHANG Xili +3 位作者 ZHAO Jing LIANG Huihui LI Yuanhua LIU Wenlong 《Digital Chinese Medicine》 2022年第1期68-74,共7页
Objective To explore the transitive regularity of holistic constituents from the crude slices of the medicinal raw materials(MCS)to the formula granules(FG),fufang decoction(FD),and finally,the concentrated pills(CP)o... Objective To explore the transitive regularity of holistic constituents from the crude slices of the medicinal raw materials(MCS)to the formula granules(FG),fufang decoction(FD),and finally,the concentrated pills(CP)of Liuwei Dihuang Fufang(六味地黄复方,LWDHF).Methods Samples for MCS,FG,FD,and CP of LWDHF were obtained,and a fingerprint data-base was established using high-performance liquid chromatography(HPLC),by separating the samples in an XB-C18 column and analyzing the transitive regularity of components us-ing the total quantum statistical moment(TQSM),including total quantum zero moment(AUCT),total quantum first moment(MRTT),total quantum second moment(VRTT),and its similarity approach.The AUCT,MRTT,and VRTT were calculated based on the representative HPLC chromatograms of FG,FD,and CP of LWDHF.Results AUCT of FG,FD,and CP of LWDHF was 71804,46553,and 144646μV·s,respectively;MRTT was 14.43,14.54,and 18.85 min,respectively;and VRTT was 106.98,112.84,and 269.12 min^(2),respectively.Comparing the similarity of FG/FD,FG/CP and FD/CP of LWDHF,the TQSM similarity values were 98.66%,76.62%,and 75.37%,respectively,whereas the tradi-tional similarity evaluation values were 98.68%,85.43%,and 85.60%,respectively.Conclusion The results perform little distinction in the total composition between FG and FD,whereas some distinction existed between FD and CP.Experimental evidence,therefore indicates that FG could be used as the alternative of MCS in clinical applications. 展开更多
关键词 Liuwei Dihuang Fufang(六味地黄复方 LWDHF) Formula granules Fufang decoction Concentrated pills Total quantum statistical moment(TQSM) High-performance liquid chromato-graphy(HPLC) Component transitive regularity
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Transitive filtration of Lie superalgebras
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作者 王颖 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2000年第1期74-76,共3页
Let L be a finite dimensional simple Lie superalgebra, and a sufficient condition is obtained for the length of transitive filtration of L to be greater than zero.
关键词 LIE SUPERALGEBRA transitive FILTRATION FILTRATION LENGTH
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CLASSIFICATION OF PRIMITIVE (J_1,2)-ARC TRANSITIVE GRAPHS
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作者 Ding Shifeng 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2006年第3期361-368,共8页
In the author's Ph. D thesis, a non-quasiprimitive graph admitting a quasiprimitive automorphism group isomorphic to J1 was constructed ,where J1 is Janko simple group of order 175560. Is this the only one for J1? I... In the author's Ph. D thesis, a non-quasiprimitive graph admitting a quasiprimitive automorphism group isomorphic to J1 was constructed ,where J1 is Janko simple group of order 175560. Is this the only one for J1? In this paper all primitive (J1,2)-arc transitive graphs Г are given and that AutГ≌J1 is proved. 展开更多
关键词 2-arc transitive PRIMITIVE J1.
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Super Cyclically Edge Connected Half Vertex Transitive Graphs
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作者 Haining Jiang Jixiang Meng Yingzhi Tian 《Applied Mathematics》 2013年第2期348-351,共4页
Tian and Meng in [Y. Tian and J. Meng, λc -Optimally half vertex transitive graphs with regularity k, Information Processing Letters 109 (2009) 683 - 686] shown that a connected half vertex transitive graph with regu... Tian and Meng in [Y. Tian and J. Meng, λc -Optimally half vertex transitive graphs with regularity k, Information Processing Letters 109 (2009) 683 - 686] shown that a connected half vertex transitive graph with regularity k and girth g(G) ≥ 6 is cyclically optimal. In this paper, we show that a connected half vertex transitive graph G is super cyclically edge-connected if minimum degree δ(G) ≥ 6 and girth g(G) ≥ 6. 展开更多
关键词 Cyclic EDGE-CONNECTIVITY Cyclically Optimal Super Cyclically Edge-Connected HALF VERTEX transitive Graph
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Fuzzy Transitive Relations
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作者 Ismat Beg Samina Ashraf 《模糊系统与数学》 CSCD 北大核心 2010年第4期162-169,共8页
A modified definition of fuzzy transitivity is given.Several properties of this new definition are obtained.Effect of these new properties of transitivity on equivalence relations is also studied.
关键词 Fuzzy Relations TRANSITIVITY Order EQUIVALENCE Approximate Indistinguishability
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On m-ovoids of finite classical polar spaces with an irreducible transitive automorphism group
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作者 Tao Feng Weicong Li Ran Tao 《Science China Mathematics》 SCIE CSCD 2024年第3期683-712,共30页
In this paper, we classify the m-ovoids of finite classical polar spaces that admit a transitive automorphism group acting irreducibly on the ambient vector space. In particular, we obtain several new infinite familie... In this paper, we classify the m-ovoids of finite classical polar spaces that admit a transitive automorphism group acting irreducibly on the ambient vector space. In particular, we obtain several new infinite families of transitive m-ovoids. 展开更多
关键词 transitive m-ovoids irreducible action finite classical polar spaces primitive divisor
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Regular Factor in Vertex Transitive Graphs
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作者 欧见平 张福基 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2004年第3期400-404,共5页
Let G be a fc-regular connected vertex transitive graph. If G is not maximal restricted edge connected, then G has a (k- 1)-factor with components isomorphic to the same vertex transitive graph of order between k and ... Let G be a fc-regular connected vertex transitive graph. If G is not maximal restricted edge connected, then G has a (k- 1)-factor with components isomorphic to the same vertex transitive graph of order between k and 2k-3. This observation strenghen to some extent the corresponding result obtained by Watkins, which said that fc-regular vertex transitive graph G has a factor with components isomorphic to a vertex transitive graphs if G is not k connected. 展开更多
关键词 vertex transitive graph regular factor restricted edge cut fragment.
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Chaos in a topologically transitive system 被引量:21
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作者 XIONG Jincheng 《Science China Mathematics》 SCIE 2005年第7期929-939,共11页
The chaotic phenomena have been studied in a topologically transitive system and it has been shown that the erratic time dependence of orbits in such a topologically transitive system is more complicated than what des... The chaotic phenomena have been studied in a topologically transitive system and it has been shown that the erratic time dependence of orbits in such a topologically transitive system is more complicated than what described by the well-known technology "Li-Yorke chaos". The concept "sensitive dependency on initial conditions" has been generalized, and the chaotic phenomena has been discussed for transitive systems with the generalized sensitive dependency property. 展开更多
关键词 chaos TOPOLOGICAL transitive topologically DYNAMICAL systems SENSITIVE dependence.
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Design of high-speed MUTC-PD with electric field regulation layer 被引量:1
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作者 XU Jian-bo LIU Kai +4 位作者 DONG Xiao-wen DUAN Xiao-feng HUANG Yong-qing WANG Qi REN Xiao-min 《中国光学(中英文)》 北大核心 2025年第2期393-400,共8页
This paper proposes a novel modified uni-traveling-carrier photodiode(MUTC-PD)featuring an electric field regulation layer:a p-type doped thin layer inserted behind the PD’s n-doped cliff layer.This electric field re... This paper proposes a novel modified uni-traveling-carrier photodiode(MUTC-PD)featuring an electric field regulation layer:a p-type doped thin layer inserted behind the PD’s n-doped cliff layer.This electric field regulation layer enhances the PD’s performance by not only reducing and smoothing the electric field intensity in the collector layer,allowing photo-generated electrons to transit at peak drift velocity,but also improving the electric field intensity in the depleted absorber layer and optimizing the photo-generated carriers’saturated transit performance.Additionally,the transport characteristics of the peak drift velocity of photogenerated electrons in the device’s collection layer can be used to optimize its parasitic characteristics.The electron’s peak drift velocity compensates for the lost transit time.Thus improving the 3 dB bandwidth of the PD’s photo response.Finally obtains a MUTC-PD with a 3 dB bandwidth of 68 GHz at a responsivity of 0.502 A/W,making it suitable for 100 Gbit/s optical receivers. 展开更多
关键词 peak electron drift velocity transit performance MUTC-PD optical fiber communication optical interconnect
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On Smash Products of Transitive Module Algebras 被引量:3
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作者 Caihong WANG Shenglin ZHU 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2010年第4期541-554,共14页
Let H be a semisimple Hopf algebra over a field of characteristic 0, and A a finite-dimensional transitive H-module algebra with a l-dimensional ideal. It is proved that the smash product A#H is isomorphic to a full m... Let H be a semisimple Hopf algebra over a field of characteristic 0, and A a finite-dimensional transitive H-module algebra with a l-dimensional ideal. It is proved that the smash product A#H is isomorphic to a full matrix algebra over some right coideal subalgebra N of H. The correspondence between A and such N, and the special case A = k(X) of function algebra on a finite set X are considered. 展开更多
关键词 Semisimple Hopf algebra Smash product transitive module algebra
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Systemic RNAi in western corn rootworm, Diabrotica virgifera virgifera, does not involve transitive pathways 被引量:1
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作者 Huarong Li Andrew J. Bowling +6 位作者 Premchand Gandra Murugesan Rangasamy Heather E. Pence Robert E. McEwan Chitvan Khajuria Blair D. Siegfried Kenneth E. Narva 《Insect Science》 SCIE CAS CSCD 2018年第1期45-56,共12页
Western corn rootworm (WCR, Diabrotica virgifera virgifera LeConte) is highly sensitive to orally delivered double-stranded RNA (dsRNA). RNAi in WCR is systemic and spreads throughout the insect body. This raises ... Western corn rootworm (WCR, Diabrotica virgifera virgifera LeConte) is highly sensitive to orally delivered double-stranded RNA (dsRNA). RNAi in WCR is systemic and spreads throughout the insect body. This raises the question whether transitive RNAi is a mechanism that functions in WCR to amplify the RNAi response via production of secondary siRNA. Secondary siRNA production is achieved through RNA-dependent RNA polymerase (RdRP) activity in other eukaryotic organisms, but RdRP has not been identified in WCR and any other insects. This study visualized the spread of the RNAi- mediated knockdown of Dr v-ATPase C mRNA throughout the WCR gut and other tissues using high-sensitivity branched DNA in situ hybridization. Furthermore, we did not detect either secondary siRNA production or transitive RNAi in WCR through siRNA sequence profile analysis. Nucleotide mismatched sequences introduced into either the sense or antisense strand of v-ATPase C dsRNAs were maintained in siRNAs derived from WCR fed with the mismatched dsRNAs in a strand specific manner. The distribution of all siRNAs was restricted to within the original target sequence regions, which may indicate the lack of new dsRNA synthesis leading to production of secondary siRNA. Thus, the systemic spread of RNAi in WCR may be derived from the original dsRNA molecules taken up from the gut lumen. These results indicate that the initial dsRNA dose is important for a lethal systemic RNAi response in WCR and have implications in developing effective dsRNA traits to control WCR and in resistance management to prolong the durability of RNAi trait technology. 展开更多
关键词 corn rootworm DIABROTICA secondary siRNA production systemic RNAi transitive RNAi
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Micro-sized hexapod-like CuS/Cu_(9)S_(5) hybrid with broadband electromagnetic wave absorption 被引量:2
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作者 Mengjun Han Di Lan +5 位作者 Zhiming Zhang Yizhi Zhao Jiaxiao Zou Zhenguo Gao Guanglei Wu Zirui Jia 《Journal of Materials Science & Technology》 2025年第11期302-312,共11页
Reasonable manipulation of component and microstructure is considered as a potential route to realize high-performance microwave absorber.In this paper,micro-sized hexapod-like CuS/Cu_(9)S_(5) composites were synthesi... Reasonable manipulation of component and microstructure is considered as a potential route to realize high-performance microwave absorber.In this paper,micro-sized hexapod-like CuS/Cu_(9)S_(5) composites were synthesized via a facile approach involving the solvothermal method and subsequent sulfuration treatment.The resultant CuS/Cu_(9)S_(5) exhibited superb microwave absorbing capacity with a minimum reflection loss(RLmin)of-59.38 dB at 2.7 mm.The maximum effective absorption bandwidth(EABmax)was 7.44 GHz(10.56-18 GHz)when the thickness was reduced to 2.3 mm.The outstanding microwave absorbing ability of CuS/Cu_(9)S_(5) composites is mainly related to its unique hexapod shape and the formation of heterogeneous interfaces.The unique hexapod shape significantly promotes the multi-reflection of the incident electromagnetic wave(EMW)increasing the attenuation path of EMWs in the material.Hetero-geneous interfaces between CuS/Cu_(9)S_(5) enable powerful interface polarization,contributing to the atten-uation of EMWs propagating in the medium.In addition,the EMW absorption performance of CuS/Cu_(9)S_(5) composites is also inseparable from the conduction loss.This study provides a strong reference for the research of EMW absorbent materials based on transition metal sulfides. 展开更多
关键词 Heterogeneous interface Hexapod shape Transition metal sulfide Electromagnetic wave absorption
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Stateless Transitive Signature Schemes 被引量:1
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作者 MAChun-guang CAIMan-chun YANGYi-xian 《The Journal of China Universities of Posts and Telecommunications》 EI CSCD 2004年第4期43-47,共5页
A new practical method is introduced to transform the stateful transitive signature scheme to stateless one with-out the loss of security.According to the approach,two concrete stateless transitive signature schemes b... A new practical method is introduced to transform the stateful transitive signature scheme to stateless one with-out the loss of security.According to the approach,two concrete stateless transitive signature schemes based on Factoringand RSA are presented respectively.Under the assumption of the hardness of factoring and one-more-RSA-inversion prob-lem,both two schemes are secure under the adaptive chosen-message attacks in random oracle model. 展开更多
关键词 stateless signature transitive signature scheme one-more-RSA-inversion random oracle model
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