KMS Of Academy of mathematics and systems sciences, CAS
exploringtheconstrainedmaximumedgeweightconnectedgraphproblem | |
Zhenping Li1; Shihua Zhang2; XiangSun Zhang2; Luonan Chen3 | |
2009-01-01 | |
发表期刊 | actamathematicaeapplicataesinicaenglishseries |
ISSN | 0168-9673 |
卷号 | 25期号:4页码:697 |
摘要 | Given an edge weighted graph, the maximum edge-weight connected graph (MECG) is a connected subgraph with a given number of edges and the maximal weight sum. Here we study a special case, i.e. the Constrained Maximum Edge-Weight Connected Graph problem (CMECG), which is an MECG whose candidate subgraphs must include a given set of k edges, then also called the k-CMECG. We formulate the k-CMECG into an integer linear programming model based on the network flow problem. The k-CMECG is proved to be NP-hard. For the special case 1-CMECG, we propose an exact algorithm and a heuristic algorithm respectively. We also propose a heuristic algorithm for the k-CMECG problem. Some simulations have been done to analyze the quality of these algorithms. Moreover, we show that the algorithm for 1-CMECG problem can lead to the solution of the general MECG problem. |
语种 | 英语 |
资助项目 | [National Natural Science Foundation of China] ; [Beijing Natural Science Foundation] ; [Foundation of Beijing Education Commission] ; [Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality (PHR(IHLB))] ; [Foundation of WYJD200902] |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/40918 |
专题 | 应用数学研究所 |
作者单位 | 1.School of Information,Beijing Wuzi University 2.中国科学院数学与系统科学研究院 3.Institute of Systems Biology,Shanghai University |
推荐引用方式 GB/T 7714 | Zhenping Li,Shihua Zhang,XiangSun Zhang,et al. exploringtheconstrainedmaximumedgeweightconnectedgraphproblem[J]. actamathematicaeapplicataesinicaenglishseries,2009,25(4):697. |
APA | Zhenping Li,Shihua Zhang,XiangSun Zhang,&Luonan Chen.(2009).exploringtheconstrainedmaximumedgeweightconnectedgraphproblem.actamathematicaeapplicataesinicaenglishseries,25(4),697. |
MLA | Zhenping Li,et al."exploringtheconstrainedmaximumedgeweightconnectedgraphproblem".actamathematicaeapplicataesinicaenglishseries 25.4(2009):697. |
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