{"title":"立方体生成树的新计数法","authors":"Thomas W. Mattman","doi":"10.1007/s00373-023-02746-5","DOIUrl":null,"url":null,"abstract":"<p>Using the special value at <span>\\(u=1\\)</span> of the Artin-Ihara <i>L</i>-function, we give a short proof of the count of the number of spanning trees in the <i>n</i>-cube.</p>","PeriodicalId":12811,"journal":{"name":"Graphs and Combinatorics","volume":"14 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Novel Count of the Spanning Trees of a Cube\",\"authors\":\"Thomas W. Mattman\",\"doi\":\"10.1007/s00373-023-02746-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Using the special value at <span>\\\\(u=1\\\\)</span> of the Artin-Ihara <i>L</i>-function, we give a short proof of the count of the number of spanning trees in the <i>n</i>-cube.</p>\",\"PeriodicalId\":12811,\"journal\":{\"name\":\"Graphs and Combinatorics\",\"volume\":\"14 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-01-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Graphs and Combinatorics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00373-023-02746-5\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Graphs and Combinatorics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00373-023-02746-5","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
利用阿尔丁-伊哈拉 L 函数在 \(u=1\)处的特殊值,我们给出了 n 立方体中生成树数目的简短证明。
期刊介绍:
Graphs and Combinatorics is an international journal devoted to research concerning all aspects of combinatorial mathematics. In addition to original research papers, the journal also features survey articles from authors invited by the editorial board.