{"title":"Divide-and-conquer minimal-cut bisectioning of task graphs","authors":"S. Lor, Hong Shen, P. Maheshwari","doi":"10.1109/MPCS.1994.367082","DOIUrl":null,"url":null,"abstract":"This paper proposes a method for partitioning the vertex set of an undirected simple weighted graph into two subsets so as to minimise the difference of vertex-weight sums between the two subsets and the total weight of edges cut (i.e., edges with one end in each subset). The proposed heuristic algorithm works in a divide-and-conquer fashion and is a modification of an algorithm suggested in the literature. The algorithm has the same time complexity as the previous one but is extended to work on weighted graphs.<<ETX>>","PeriodicalId":64175,"journal":{"name":"专用汽车","volume":"5 1","pages":"155-162"},"PeriodicalIF":0.0000,"publicationDate":"1994-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"专用汽车","FirstCategoryId":"1087","ListUrlMain":"https://doi.org/10.1109/MPCS.1994.367082","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
This paper proposes a method for partitioning the vertex set of an undirected simple weighted graph into two subsets so as to minimise the difference of vertex-weight sums between the two subsets and the total weight of edges cut (i.e., edges with one end in each subset). The proposed heuristic algorithm works in a divide-and-conquer fashion and is a modification of an algorithm suggested in the literature. The algorithm has the same time complexity as the previous one but is extended to work on weighted graphs.<>
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