In this paper, we propose an efficient parallel algorithm for generating k spanning trees of a connected, weighted and undirected graph Q(V,E,W) in the order of increasingweight. It runs in O(Tmst(n)+klogn) time with...In this paper, we propose an efficient parallel algorithm for generating k spanning trees of a connected, weighted and undirected graph Q(V,E,W) in the order of increasingweight. It runs in O(Tmst(n)+klogn) time with O(n2/ logn) processors on a CREW PRAM,where n=|V|, m=|E| and Tmst(n), O(log n)＜Tmst(n)＜O(log2 n) is the run time of the fastest parallel algorithm for finding a minimum spanning tree (MST) of G on a CREW PRAM. SinceTmst(n)=O(log2 n) for the time being, our algorithm is of the same time bound with Tmst(n)when k＜O(log n).展开更多
Network reconfiguration is of theoretical and practical significance to guarantee safe and economical operation of distribution system.In this paper,based on all spanning trees of undirected graph,a novel genetic algo...Network reconfiguration is of theoretical and practical significance to guarantee safe and economical operation of distribution system.In this paper,based on all spanning trees of undirected graph,a novel genetic algorithm for electric distribution network reconfiguration is proposed.Above all,all spanning trees of simplified graph of distribution network are found.Tie branches are obtained with spanning tree subtracted from simplified graph.There is one and only one switch open on each tie branch.Decimal identity number of open switch on each tie branch is taken as the optimization variable.Therefore,the length of chromosome is very short.Each spanning tree corresponds to one subpopulation.Gene operations of each subpopulation are implemented with parallel computing method.Individuals of offspring after gene operation automatically meet with radial and connected constraints for distribution network operation.Disadvantages of conventional genetic algorithm for network reconfiguration that a large amount of unfeasible solutions are created after crossover and mutation,which result in very low searching efficiency,are completely overcome.High calculation speed and superior capability of the proposed method are validated by two test cases.展开更多
Given a simple graph G with n vertices and m edges, the spanning tree problem is to find a spanning tree for a given graph G. This problem has many applications, such as electric power systems, computer network design...Given a simple graph G with n vertices and m edges, the spanning tree problem is to find a spanning tree for a given graph G. This problem has many applications, such as electric power systems, computer network design and circuit analysis. For a simple graph, the spanning tree problem can be solved in O(log n) time with O(m+n) processors on the CRCW PRAM. In general, it is known that more efficient parallel algorithms can be developed by restricting classes of graphs. In this paper, we shall propose a parallel algorithm which runs O(log n) time with O(n/log n) processors on the EREW PRAM for constructing on proper circle trapezoid graphs.展开更多
The reconfigurable mesh consists of an array of processors interconnected by a reconfigurable bus system. The bus system can be used to dynamically obtain various interconnection patterns among the processors. Recent...The reconfigurable mesh consists of an array of processors interconnected by a reconfigurable bus system. The bus system can be used to dynamically obtain various interconnection patterns among the processors. Recently, this model has attracted a lot of attention. In this paper, two efficient algorithms are proposed for computing the minimum spanning tree of an n-vertex undirected graph. One runs on an n×n reconfigurable mesh with time complexity of O(log^2 n). The other runs with time complexity of O(log n) on an n^(1+E)×n reconfigurable mesh, where < E < 1 is a constant. All these improve the previously known results on the reconfigurable mesh.展开更多
针对标签特定特征多标签学习算法(multi-label learning with label-specific features,LIFT)未能在聚类以及分类阶段考虑标签相关性问题,提出一种基于标签相关性的标签特定特征多标签学习算法(multi-label learning with label-specifi...针对标签特定特征多标签学习算法(multi-label learning with label-specific features,LIFT)未能在聚类以及分类阶段考虑标签相关性问题,提出一种基于标签相关性的标签特定特征多标签学习算法(multi-label learning with label-specific features via label correlations,LFLC).将标签空间加入特征空间进行聚类构建分类模型,采用考虑标签相关性的聚类集成技术为每个标签构造标签特定特征,使用相关性矩阵构建无向完全图并挖掘图中标签集合相关性,通过树集成表达标签间多种不同结构的强相关性.在试验部分,采用涵盖不同领域的10个数据集,以Hamming Loss、Ranking Loss、One-error、Coverage、Average Precision和macroAUC为评估指标,进行了参数敏感性分析和统计假设检验.结果表明:结合聚类集成与标签间强相关性的LFLC算法较其他对比多标签算法整体上能取得较好的效果.展开更多
文摘In this paper, we propose an efficient parallel algorithm for generating k spanning trees of a connected, weighted and undirected graph Q(V,E,W) in the order of increasingweight. It runs in O(Tmst(n)+klogn) time with O(n2/ logn) processors on a CREW PRAM,where n=|V|, m=|E| and Tmst(n), O(log n)＜Tmst(n)＜O(log2 n) is the run time of the fastest parallel algorithm for finding a minimum spanning tree (MST) of G on a CREW PRAM. SinceTmst(n)=O(log2 n) for the time being, our algorithm is of the same time bound with Tmst(n)when k＜O(log n).
文摘Network reconfiguration is of theoretical and practical significance to guarantee safe and economical operation of distribution system.In this paper,based on all spanning trees of undirected graph,a novel genetic algorithm for electric distribution network reconfiguration is proposed.Above all,all spanning trees of simplified graph of distribution network are found.Tie branches are obtained with spanning tree subtracted from simplified graph.There is one and only one switch open on each tie branch.Decimal identity number of open switch on each tie branch is taken as the optimization variable.Therefore,the length of chromosome is very short.Each spanning tree corresponds to one subpopulation.Gene operations of each subpopulation are implemented with parallel computing method.Individuals of offspring after gene operation automatically meet with radial and connected constraints for distribution network operation.Disadvantages of conventional genetic algorithm for network reconfiguration that a large amount of unfeasible solutions are created after crossover and mutation,which result in very low searching efficiency,are completely overcome.High calculation speed and superior capability of the proposed method are validated by two test cases.
文摘Given a simple graph G with n vertices and m edges, the spanning tree problem is to find a spanning tree for a given graph G. This problem has many applications, such as electric power systems, computer network design and circuit analysis. For a simple graph, the spanning tree problem can be solved in O(log n) time with O(m+n) processors on the CRCW PRAM. In general, it is known that more efficient parallel algorithms can be developed by restricting classes of graphs. In this paper, we shall propose a parallel algorithm which runs O(log n) time with O(n/log n) processors on the EREW PRAM for constructing on proper circle trapezoid graphs.
基金Ph.D.foundation of Sate Education Commission of China
文摘The reconfigurable mesh consists of an array of processors interconnected by a reconfigurable bus system. The bus system can be used to dynamically obtain various interconnection patterns among the processors. Recently, this model has attracted a lot of attention. In this paper, two efficient algorithms are proposed for computing the minimum spanning tree of an n-vertex undirected graph. One runs on an n×n reconfigurable mesh with time complexity of O(log^2 n). The other runs with time complexity of O(log n) on an n^(1+E)×n reconfigurable mesh, where < E < 1 is a constant. All these improve the previously known results on the reconfigurable mesh.
文摘针对标签特定特征多标签学习算法(multi-label learning with label-specific features,LIFT)未能在聚类以及分类阶段考虑标签相关性问题,提出一种基于标签相关性的标签特定特征多标签学习算法(multi-label learning with label-specific features via label correlations,LFLC).将标签空间加入特征空间进行聚类构建分类模型,采用考虑标签相关性的聚类集成技术为每个标签构造标签特定特征,使用相关性矩阵构建无向完全图并挖掘图中标签集合相关性,通过树集成表达标签间多种不同结构的强相关性.在试验部分,采用涵盖不同领域的10个数据集,以Hamming Loss、Ranking Loss、One-error、Coverage、Average Precision和macroAUC为评估指标,进行了参数敏感性分析和统计假设检验.结果表明:结合聚类集成与标签间强相关性的LFLC算法较其他对比多标签算法整体上能取得较好的效果.
