{"title":"用严格的数字神经网络解决四色图问题","authors":"K. Murakami, T. Nakagawa, H. Kitagawa","doi":"10.1109/IJCNN.1991.170754","DOIUrl":null,"url":null,"abstract":"A parallel algorithm with SDNNs (strictly digital neural networks) for solving four-coloring problems on combinatorial optimization problems is presented. This problem was defined as a set selection problem with the k-out-of-n design rule and was solved efficiently by an SDNN software simulator with the parallel algorithm. Solving this large problem with a sequential algorithm takes several hours. The simulation results of SDNN show that four-colour map problems can be solved not only within O(n) in parallel convergence but also O(n/sup 2/) in sequential simulation, where n is the number of regions. A comparison with two other algorithms shows the efficiency of the SDNN algorithm.<<ETX>>","PeriodicalId":211135,"journal":{"name":"[Proceedings] 1991 IEEE International Joint Conference on Neural Networks","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1991-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Solving four-coloring map problems using strictly digital neural networks\",\"authors\":\"K. Murakami, T. Nakagawa, H. Kitagawa\",\"doi\":\"10.1109/IJCNN.1991.170754\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A parallel algorithm with SDNNs (strictly digital neural networks) for solving four-coloring problems on combinatorial optimization problems is presented. This problem was defined as a set selection problem with the k-out-of-n design rule and was solved efficiently by an SDNN software simulator with the parallel algorithm. Solving this large problem with a sequential algorithm takes several hours. The simulation results of SDNN show that four-colour map problems can be solved not only within O(n) in parallel convergence but also O(n/sup 2/) in sequential simulation, where n is the number of regions. A comparison with two other algorithms shows the efficiency of the SDNN algorithm.<<ETX>>\",\"PeriodicalId\":211135,\"journal\":{\"name\":\"[Proceedings] 1991 IEEE International Joint Conference on Neural Networks\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-11-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[Proceedings] 1991 IEEE International Joint Conference on Neural Networks\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IJCNN.1991.170754\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[Proceedings] 1991 IEEE International Joint Conference on Neural Networks","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IJCNN.1991.170754","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solving four-coloring map problems using strictly digital neural networks
A parallel algorithm with SDNNs (strictly digital neural networks) for solving four-coloring problems on combinatorial optimization problems is presented. This problem was defined as a set selection problem with the k-out-of-n design rule and was solved efficiently by an SDNN software simulator with the parallel algorithm. Solving this large problem with a sequential algorithm takes several hours. The simulation results of SDNN show that four-colour map problems can be solved not only within O(n) in parallel convergence but also O(n/sup 2/) in sequential simulation, where n is the number of regions. A comparison with two other algorithms shows the efficiency of the SDNN algorithm.<>