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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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ARC 1-ANTIDIRECTED CYCLES IN TOURNAMENTS
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作者 宋增民 《Journal of Southeast University(English Edition)》 EI CAS 1992年第2期75-84,共10页
Let T=(V,A)be a tournament of order n and T_i,…,T_m be diconnectedcomponents in T.If uv ∈A and P is a directed path of length k-1(k≥3)from u to v,We call P ∪{uv}a 1-antidirected cycle of length k.Let k be an integ... Let T=(V,A)be a tournament of order n and T_i,…,T_m be diconnectedcomponents in T.If uv ∈A and P is a directed path of length k-1(k≥3)from u to v,We call P ∪{uv}a 1-antidirected cycle of length k.Let k be an integer satisfying 3≤k≤n.If every arc e∈A is contained in a 1-antidirected cycle of length k,we will refer toT as arc k 1-antidirected cyclic.If T is arc k 1-antidirected cyclic for k=3,4,…,n,T iscalled arc 1-antidirected pancyclic.In this paper,we prove that T is arc 1-antidirectedpancyclic if and only if T satisfies one of the following conditions:(i)2≤m≤3 and forany T_i,every arc e∈T_i is contained in a Hamilton path in T_i;(ii)m=1,except some spe-cial tournaments which are to be shown. 展开更多
关键词 CYCLE TOURNAMENT ARC
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A SUFFICIENT CONDITION FOR HAMILTONIAN CYCLES IN BIPARTITE TOURNAMENTS
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作者 Jing Tang Jianzhong Wang Wanpeng Lei 《Analysis in Theory and Applications》 2007年第4期315-324,共10页
In this paper,we present a new sufficient condition on degrees for a bipartite tournament to be Hamiltonian,that is,if an n×n bipartite tournament T satisfies the condition W(n-3),then T is Hamiltonian,except for... In this paper,we present a new sufficient condition on degrees for a bipartite tournament to be Hamiltonian,that is,if an n×n bipartite tournament T satisfies the condition W(n-3),then T is Hamiltonian,except for four exceptional graphs.This result is shown to be best possible in a sense. 展开更多
关键词 Bipartite tournament Hamiltonian cycles strong tournament
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Xujiadai:The Baseball Village Revitalizing Rural China
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作者 LIU TING 《China Today》 2026年第3期60-62,共3页
The story tells how a Chinese village hit a home run by building its future around baseball,transforming the sport into a powerful engine for rural revitalization.XUJIADAI is an administrative village in Lindai Town o... The story tells how a Chinese village hit a home run by building its future around baseball,transforming the sport into a powerful engine for rural revitalization.XUJIADAI is an administrative village in Lindai Town of Jiaxing City,east China’s Zhejiang Province.It is in this small village that over 100 baseball and softball tournaments have been held,a record that has crowned it China’s top baseball village. 展开更多
关键词 rural China administrative village tournaments rural revitalizationxujiadai BASEBALL rural development rural revitalization sports revitalization
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On the Strong n-partite Tournaments with Exactly Two Cycles of Length n-1
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作者 Qiao-ping GUO Yu-bao GUO +1 位作者 Sheng-jia LI Chun-fang LI 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2018年第4期710-717,共8页
Gutin and Rafiey(Australas J. Combin. 34(2006), 17-21) provided an example of an n-partite tournament with exactly n-m + 1 cycles of length of m for any given m with 4 ≤ m ≤ n, and posed the following question.... Gutin and Rafiey(Australas J. Combin. 34(2006), 17-21) provided an example of an n-partite tournament with exactly n-m + 1 cycles of length of m for any given m with 4 ≤ m ≤ n, and posed the following question. Let 3 ≤ m ≤n and n ≥ 4. Are there strong n-partite tournaments, which are not themselves tournaments, with exactly n-m + 1 cycles of length m for two values of m? In the same paper,they showed that this question has a negative answer for two values n-1 and n. In this paper, we prove that a strong n-partite tournament with exactly two cycles of length n-1 must contain some given multipartite tournament as subdigraph. As a corollary, we also show that the above question has a negative answer for two values n-1 and any l with 3 ≤ l ≤ n and l ≠n-1. 展开更多
关键词 nmltipartite tournaments tournaments cycles
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On Disjoint Cycles of the Same Length in Tournaments
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作者 YUN WANG JIN YAN SHUO ZHU 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2022年第2期271-281,共11页
A tournament is an orientation of the complete graph.Tournaments form perhaps the most interesting class of digraphs and it has a great potential for application.Tournaments provide a model of the statistical techniqu... A tournament is an orientation of the complete graph.Tournaments form perhaps the most interesting class of digraphs and it has a great potential for application.Tournaments provide a model of the statistical technique called the method of paired comparisons and they have also been studied in connection with sociometric relations in small groups.In this paper,we investigate disjoint cycles of the same length in tournaments.In 2010,Lichiardopol conjectured that for given integers l≥3 and k≥1,any tournament with minimum out-degree at least(l-1)k-1 contains k disjoint l-cycles,where an l-cycle is a cycle of order l.Bang-Jensen et al.verified the conjecture for l=3 and Ma et al.proved that it also holds for l≥10.This paper provides a proof of the conjecture for the case of 9≥l≥4. 展开更多
关键词 tournaments minimum out-degree disjoint cycles
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Componentwise Complementary Cycles in Multipartite Tournaments
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作者 Zhi-hong HE Guo-jun LI Xue-qin ZHOU 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2012年第1期201-208,共8页
The problem of complementary cycles in tournaments and bipartite tournaments was completely solved. However, the problem of complementary cycles in semicomplete n-partite digraphs with n 〉 3 is still open. Based on t... The problem of complementary cycles in tournaments and bipartite tournaments was completely solved. However, the problem of complementary cycles in semicomplete n-partite digraphs with n 〉 3 is still open. Based on the definition of componentwise complementary cycles, we get the following result. Let D be a 2-strong n-partite (n 〉 6) tournament that is not a tournament. Let C be a 3-cycle of D and D / V(C) be nonstrong. For the unique acyclic sequence D1, D2,..., Da of D / V(C), where a 〉 2, let Dc = {Di|Di contains cycles, i = 1,2,...,a}, Dc = {D1,D2,...,Da} / De. If Dc≠ 0, then D contains a pair of componentwise complementary cycles. 展开更多
关键词 complementary cycles componentwise complementary cycles multipartite tournaments
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ON TOURNAMENTS OF SMALL ORDERS AND THEIR APPLICATIONS
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作者 ZHOUGuofei ZHANGKemin 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2003年第4期475-482,共8页
In this paper, we generate all nonisomorphic tournaments of order at mostnine, all nonisomorphic almost regular tournaments of order 10 and all nonisomorphic regulartournaments of order 11. For each of these tournamen... In this paper, we generate all nonisomorphic tournaments of order at mostnine, all nonisomorphic almost regular tournaments of order 10 and all nonisomorphic regulartournaments of order 11. For each of these tournaments, we have given its score-list, connectivity,diameter, the minimal number of feedbacks, automorphisms and spectra. Moreover, we have verified thewell-known Kelly's Conjecture for n = 2k + 1 ≤ 11. And we also determine the n-universaltournaments for n ≤ 6. However, several related results are given and some related open problemsare raised. 展开更多
关键词 tournaments APPLICATIONS
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On Cycles Containing a Given Arc in Regular Multipartite Tournaments
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作者 LinQiangPAN KeMinZHANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第2期379-384,共6页
In this paper we prove that if T is a regular n-partite tournament with n ≥ 4, then each arc of T lies on a cycle whose vertices are from exactly k partite sets for k = 4, 5, . . . ,n. Our result, in a sense, general... In this paper we prove that if T is a regular n-partite tournament with n ≥ 4, then each arc of T lies on a cycle whose vertices are from exactly k partite sets for k = 4, 5, . . . ,n. Our result, in a sense, generalizes a theorem due to Alspach. 展开更多
关键词 Multipartite tournaments Cycles
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Cycles Containing a Given Arc in Regular Multipartite Tournaments 被引量:2
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作者 Guo-fei Zhou, Ke-min ZhangDepartment of Mathematics, Nanjing University, Nanjing 210093, China 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2002年第4期681-684,共4页
In this paper we prove that if T is a regular n-partite tournament with n≥>6, then each arc of T lies on a k-cycle for k=4,5,…,n. Our result generalizes theorems due to Alspach and Guo respectively.
关键词 Multitepartite tournaments CYCLE
全文增补中
OUTPATHS OF ARCS IN MULTIPARTITE TOURNAMENTS 被引量:1
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作者 周国飞 张克民 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2001年第3期361-365,共5页
A k-outpath of an arc xy in a multipartite tournament is a directed path with length k starting from xy such that x does not dominate the end vertex of the directed path. This concept is a generalization of a directed... A k-outpath of an arc xy in a multipartite tournament is a directed path with length k starting from xy such that x does not dominate the end vertex of the directed path. This concept is a generalization of a directed cycle. We show that if T is an almost regular n-partite (n>8) tournament with each partite set having at least two vertices, then every are of T has a k-outpath for all k, 3<k<n-1. 展开更多
关键词 Outpaths multipartite tournaments
全文增补中
A note on hypertournaments 被引量:1
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作者 Linqiang Pan Guofei Zhou Kemin Zhang 《Chinese Science Bulletin》 SCIE EI CAS 1999年第16期1460-1463,共4页
It is proved that for given integer k≥2, almost all k-hypertournaments are strong and in almost all k-hypertournaments, every pair of vertices lies on a 3-cycle.
关键词 TOURNAMENT hyper-tournament cycle STRONGLY CONNECTED digraph.
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ON REID CONJECTURE OF SCORE SETS FOR TOURNAMENTS 被引量:1
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作者 姚天行 《Chinese Science Bulletin》 SCIE EI CAS 1989年第10期804-808,共5页
In 1978, K. B. Reid proposed a conjecture as follows: 'Every finite and nonempty set S of positive integers is a set of scores for some tournaments'. And he proved that the conjecture is true for |S|=1, 2, 3. ... In 1978, K. B. Reid proposed a conjecture as follows: 'Every finite and nonempty set S of positive integers is a set of scores for some tournaments'. And he proved that the conjecture is true for |S|=1, 2, 3. In 1984, M. Hager 展开更多
关键词 SCORE SEQUENCE SCORE SETS tournament.
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Fair Scheduling Models for Doubles Group Competitions
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作者 Vardges Melkonian 《American Journal of Operations Research》 2021年第6期338-356,共19页
This paper gives integer linear programming models for scheduling doubles tennis group competitions. The goal is to build a fair and competitive schedule for all players. Our basic model achieves that for each player ... This paper gives integer linear programming models for scheduling doubles tennis group competitions. The goal is to build a fair and competitive schedule for all players. Our basic model achieves that for each player the average ranking of his partners in all matches is as close as possible to the average ranking of his opponents in all matches. One of the variations of the basic model provides that each matchup is fair and competitive. We also give models for the case when the number of players is 4n<span style="font-family:;" "=""> </span><span style="font-family:;" "="">+</span><span style="font-family:;" "=""> </span><span style="font-family:;" "="">2, and thus one of the matches has to be singles. Our models were implemented and tested using optimization software AMPL. Computational results along with schedules for some typical situations are also given the paper.</span> 展开更多
关键词 Sport Scheduling Doubles tournaments Optimization Modeling Integer Linear Programming
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An effective discrete artificial bee colony algorithm for flow shop scheduling problem with intermediate buffers 被引量:4
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作者 张素君 顾幸生 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第9期3471-3484,共14页
An effective discrete artificial bee colony(DABC) algorithm is proposed for the flow shop scheduling problem with intermediate buffers(IBFSP) in order to minimize the maximum completion time(i.e makespan). The effecti... An effective discrete artificial bee colony(DABC) algorithm is proposed for the flow shop scheduling problem with intermediate buffers(IBFSP) in order to minimize the maximum completion time(i.e makespan). The effective combination of the insertion and swap operator is applied to producing neighborhood individual at the employed bee phase. The tournament selection is adopted to avoid falling into local optima, while, the optimized insert operator embeds in onlooker bee phase for further searching the neighborhood solution to enhance the local search ability of algorithm. The tournament selection with size 2 is again applied and a better selected solution will be performed destruction and construction of iterated greedy(IG) algorithm, and then the result replaces the worse one. Simulation results show that our algorithm has a better performance compared with the HDDE and CHS which were proposed recently. It provides the better known solutions for the makespan criterion to flow shop scheduling problem with limited buffers for the Car benchmark by Carlier and Rec benchmark by Reeves. The convergence curves show that the algorithm not only has faster convergence speed but also has better convergence value. 展开更多
关键词 discrete artificial bee colony algorithm flow shop scheduling problem with intermediate buffers destruction and construction tournament selection
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A genetic algorithm for the pareto optimal solution set of multi-objective shortest path problem 被引量:2
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作者 胡仕成 徐晓飞 战德臣 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2005年第6期721-726,共6页
Unlike the shortest path problem that has only one optimal solution and can be solved in polynomial time, the muhi-objective shortest path problem ( MSPP ) has a set of pareto optimal solutions and cannot be solved ... Unlike the shortest path problem that has only one optimal solution and can be solved in polynomial time, the muhi-objective shortest path problem ( MSPP ) has a set of pareto optimal solutions and cannot be solved in polynomial time. The present algorithms focused mainly on how to obtain a precisely pareto optimal solution for MSPP resulting in a long time to obtain multiple pareto optimal solutions with them. In order to obtain a set of satisfied solutions for MSPP in reasonable time to meet the demand of a decision maker, a genetic algo- rithm MSPP-GA is presented to solve the MSPP with typically competing objectives, cost and time, in this pa- per. The encoding of the solution and the operators such as crossover, mutation and selection are developed. The algorithm introduced pareto domination tournament and sharing based selection operator, which can not only directly search the pareto optimal frontier but also maintain the diversity of populations in the process of evolutionary computation. Experimental results show that MSPP-GA can obtain most efficient solutions distributed all along the pareto frontier in less time than an exact algorithm. The algorithm proposed in this paper provides a new and effective method of how to obtain the set of pareto optimal solutions for other multiple objective optimization problems in a short time. 展开更多
关键词 shortest path multi-objective optimization tournament selection pareto optimum genetic algorithm
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Implementation of Hybrid Particle Swarm Optimization for Optimized Regression Testing 被引量:3
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作者 V.Prakash S.Gopalakrishnan 《Intelligent Automation & Soft Computing》 SCIE 2023年第6期2575-2590,共16页
Software test case optimization improves the efficiency of the software by proper structure and reduces the fault in the software.The existing research applies various optimization methods such as Genetic Algorithm,Cr... Software test case optimization improves the efficiency of the software by proper structure and reduces the fault in the software.The existing research applies various optimization methods such as Genetic Algorithm,Crow Search Algorithm,Ant Colony Optimization,etc.,for test case optimization.The existing methods have limitations of lower efficiency in fault diagnosis,higher computa-tional time,and high memory requirement.The existing methods have lower effi-ciency in software test case optimization when the number of test cases is high.This research proposes the Tournament Winner Genetic Algorithm(TW-GA)method to improve the efficiency of software test case optimization.Hospital Information System(HIS)software was used to evaluate TW-GA model perfor-mance in test case optimization.The tournament Winner in the proposed method selects the instances with the best fitness values and increases the exploitation of the search to find the optimal solution.The TW-GA method has higher exploita-tion that helps to find the mutant and equivalent mutation that significantly increases fault diagnosis in the software.The TW-GA method discards the infor-mation with a lower fitness value that reduces the computational time and mem-ory requirement.The TW-GA method requires 5.47 s and the MOCSFO method requires 30 s for software test case optimization. 展开更多
关键词 Equivalent mutation fault diagnosis hospital information system software test case optimization tournament winner genetic algorithm
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Structural Damage Detection Using a Modified Artificial Bee Colony Algorithm
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作者 H.J.Xu Z.H.Ding +1 位作者 Z.R.Lu J.K.Liu 《Computer Modeling in Engineering & Sciences》 SCIE EI 2016年第4期335-355,共21页
An optimization approach based on Artificial Bee Colony(ABC)algorithm is proposed for structural local damage detection in this study.The objective function for the damage identification problem is established by stru... An optimization approach based on Artificial Bee Colony(ABC)algorithm is proposed for structural local damage detection in this study.The objective function for the damage identification problem is established by structural parameters and modal assurance criteria(MAC).The ABC algorithm is presented to solve the certain objective function.Then the Tournament Selection Strategy and chaotic search mechanism is adopted to enhance global search ability of the certain algorithm.A coupled double-beam system is studied as numerical example to illustrate the correctness and efficiency of the propose method.The simulation results show that the modified ABC algorithm can identify the local damage of the structural system efficiently even under measurement noise,which demonstrates the proposed algorithm has a higher damage diagnosis precision. 展开更多
关键词 structural damage detection Artificial BEE COLONY algorithm Modal ASSURANCE Criteria coupled double-beam system TOURNAMENT Selection Strategy
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Energy optimization of representative barrier algorithms
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作者 陈娟 董勇 《Journal of Central South University》 SCIE EI CAS 2012年第10期2823-2831,共9页
Too high energy consumption is widely recognized to be a critical problem in large-scale parallel computing systems.The LogP-based energy-saving model and the frequency scaling method were proposed to reduce energy co... Too high energy consumption is widely recognized to be a critical problem in large-scale parallel computing systems.The LogP-based energy-saving model and the frequency scaling method were proposed to reduce energy consumption analytically and systematically for other two representative barrier algorithms:tournament barrier and central counter barrier.Furthermore,energy optimization methods of these two barrier algorithms were implemented on parallel computing platform.The experimental results validate the effectiveness of the energy optimization methods.67.12% and 70.95% energy savings are obtained respectively for tournament barrier and central counter barrier on platforms with 2048 processes with 1.55%?8.80% performance loss.Furthermore,LogP-based energy-saving analytical model for these two barrier algorithms is highly accurate as the predicted energy savings are within 9.67% of the results obtained by simulation. 展开更多
关键词 energy saving tournament barrier central counter barrier LOGP Open MPI
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Job shop scheduling problem based on DNA computing
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作者 Yin Zhixiang Cui Jianzhong Yang Yan Ma Ying 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第3期654-659,共6页
To solve job shop scheduling problem, a new approach-DNA computing is used in solving job shop scheduling problem. The approach using DNA computing to solve job shop scheduling is divided into three stands. Finally, o... To solve job shop scheduling problem, a new approach-DNA computing is used in solving job shop scheduling problem. The approach using DNA computing to solve job shop scheduling is divided into three stands. Finally, optimum solutions are obtained by sequencing A small job shop scheduling problem is solved in DNA computing, and the "operations" of the computation were performed with standard protocols, as ligation, synthesis, electrophoresis etc. This work represents further evidence for the ability of DNA computing to solve NP-complete search problems. 展开更多
关键词 DNA computing job shop scheduling problem WEIGHTED tournament.
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