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The Rectilinear Steiner Tree Problem is NP Complete 线性斯坦纳树问题是NP完全的
SIAM Journal of Applied Mathematics Pub Date : 1977-06-01 DOI: 10.1137/0132071
M. Garey, David S. Johnson
{"title":"The Rectilinear Steiner Tree Problem is NP Complete","authors":"M. Garey, David S. Johnson","doi":"10.1137/0132071","DOIUrl":"https://doi.org/10.1137/0132071","url":null,"abstract":"An optimum rectilinear Steiner tree for a set A of points in the plane is a tree which interconnects A using horizontal and vertical lines of shortest possible total length. Such trees correspond to single net wiring patterns on printed backplanes which minimize total wire length. We show that the problem of determining this minimum length, given A, is NP-complete. Thus the problem of finding optimum rectilinear Steiner trees is probably computationally hopeless, and the emphasis of the literature for this problem on heuristics and special case algorithms is well justified. A number of intermediary lemmas concerning the NP-completeness of certain graph-theoretic problems are proved and may be of independent interest.","PeriodicalId":229759,"journal":{"name":"SIAM Journal of Applied Mathematics","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1977-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128899673","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1079
Bounds on Multiprocessing Timing Anomalies 多处理时序异常的边界
SIAM Journal of Applied Mathematics Pub Date : 1969-03-01 DOI: 10.1137/0117039
R. L. Graham
{"title":"Bounds on Multiprocessing Timing Anomalies","authors":"R. L. Graham","doi":"10.1137/0117039","DOIUrl":"https://doi.org/10.1137/0117039","url":null,"abstract":"","PeriodicalId":229759,"journal":{"name":"SIAM Journal of Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1969-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125873565","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2390
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