{"title":"编码k-ary树，以便按照字典顺序高效地无循环生成","authors":"Limin Xiang, K. Ushijima, Y. Asahiro","doi":"10.1109/ITCC.2002.1000422","DOIUrl":null,"url":null,"abstract":"In this paper, e-words are used for coding k-ary trees with n internal nodes. The properties of e-words are discussed in depth, such as the necessary and sufficient condition of e-words, and based on the properties, a loopless algorithm is obtained to generate e-words for k-ary trees in lexicographic order, which is more efficient in both space and time than the previous algorithm. In addition, e-words can also be easily generated in lexicographic order by a recursive algorithm, and in the order with the Strong Minimal Change Property (SMCP) by a loopless algorithm.","PeriodicalId":115190,"journal":{"name":"Proceedings. International Conference on Information Technology: Coding and Computing","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Coding k-ary trees for efficient loopless generation in lexicographic order\",\"authors\":\"Limin Xiang, K. Ushijima, Y. Asahiro\",\"doi\":\"10.1109/ITCC.2002.1000422\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, e-words are used for coding k-ary trees with n internal nodes. The properties of e-words are discussed in depth, such as the necessary and sufficient condition of e-words, and based on the properties, a loopless algorithm is obtained to generate e-words for k-ary trees in lexicographic order, which is more efficient in both space and time than the previous algorithm. In addition, e-words can also be easily generated in lexicographic order by a recursive algorithm, and in the order with the Strong Minimal Change Property (SMCP) by a loopless algorithm.\",\"PeriodicalId\":115190,\"journal\":{\"name\":\"Proceedings. International Conference on Information Technology: Coding and Computing\",\"volume\":\"29 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2002-04-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. International Conference on Information Technology: Coding and Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ITCC.2002.1000422\",\"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. International Conference on Information Technology: Coding and Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITCC.2002.1000422","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Coding k-ary trees for efficient loopless generation in lexicographic order
In this paper, e-words are used for coding k-ary trees with n internal nodes. The properties of e-words are discussed in depth, such as the necessary and sufficient condition of e-words, and based on the properties, a loopless algorithm is obtained to generate e-words for k-ary trees in lexicographic order, which is more efficient in both space and time than the previous algorithm. In addition, e-words can also be easily generated in lexicographic order by a recursive algorithm, and in the order with the Strong Minimal Change Property (SMCP) by a loopless algorithm.
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