{"title":"Optimal parallel algorithm for edge-coloring partial k-trees with bounded degrees","authors":"Xiaoping Zhou, Takao Nishizeki","doi":"10.1109/ISPAN.1994.367150","DOIUrl":null,"url":null,"abstract":"Many combinatorial problems can be efficiently solved for partial k-trees (graphs of treewidth bounded by k). The edge-coloring problem is one of the well-known combinatorial problems for which no NC algorithms have been obtained for partial k-trees. This paper gives an optimal and first NC parallel algorithm to find an edge-coloring of any given partial k-tree using a minimum number of colors if k and the maximum degree /spl Delta/ are bounded.<<ETX>>","PeriodicalId":142405,"journal":{"name":"Proceedings of the International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN)","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISPAN.1994.367150","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 9
Abstract
Many combinatorial problems can be efficiently solved for partial k-trees (graphs of treewidth bounded by k). The edge-coloring problem is one of the well-known combinatorial problems for which no NC algorithms have been obtained for partial k-trees. This paper gives an optimal and first NC parallel algorithm to find an edge-coloring of any given partial k-tree using a minimum number of colors if k and the maximum degree /spl Delta/ are bounded.<>
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