立方体生成树的新计数法

IF 0.6 4区 数学 Q3 MATHEMATICS Graphs and Combinatorics Pub Date : 2024-01-28 DOI:10.1007/s00373-023-02746-5
Thomas W. Mattman
{"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":null,"pages":null},"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\":null,\"pages\":null},\"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。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
A Novel Count of the Spanning Trees of a Cube

Using the special value at \(u=1\) of the Artin-Ihara L-function, we give a short proof of the count of the number of spanning trees in the n-cube.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Graphs and Combinatorics
Graphs and Combinatorics 数学-数学
CiteScore
1.00
自引率
14.30%
发文量
160
审稿时长
6 months
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.
期刊最新文献
An Efficient Algorithm to Compute the Toughness in Graphs with Bounded Treewidth Existential Closure in Line Graphs The Planar Turán Number of $$\{K_4,C_5\}$$ and $$\{K_4,C_6\}$$ On the Complexity of Local-Equitable Coloring in Claw-Free Graphs with Small Degree New Tools to Study 1-11-Representation of Graphs
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1