政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/131109

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | Items with full text/Total items : 113318/144297 (79%)
Visitors : 51021819 Online Users : 872

RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.

Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer

政大機構典藏 > 理學院 > 應用數學系 > 學位論文 > Item 140.119/131109

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/131109

Title:	完全圖上的(a, d)-antimagic 圖標號 On (a, d)-antimagic labelings of complete graphs
Authors:	莊崴宇 Chuang, Wi-Yu
Contributors:	張宜武 Chang, Yi-Wu 莊崴宇 Chuang, Wi-Yu
Keywords:	圖標號 Graph labelings
Date:	2020
Issue Date:	2020-08-03 17:58:02 (UTC+8)
Abstract:	圖標號是將整數分配到一個圖的邊或點。圖標號的發展源起於1967年，由Rosa所提出，在1990年，Hartsfield 和 Ringel 引進了 antimagic graph的概念，而(a, d)-antimagic graph 的觀念則是Bodendiek 和 Walther在1993年引入，詳細的資料可以在[2]中參考。在本篇論文我們探討一些(a, d)-antimagic 圖標號的概念，特別是探討完全圖的(a, d)-antimagic 圖標號。 A graph labeling is an assignment of integers to the vertices or edges, or both, subject to certain conditions. Graph labeling methods was introduced by Rosa in 1967. Hartsfield and Ringel introduced the concept of an antimagic graph in 1990. The concept of an $(a, d)$-antimagic labelings was introduced by Bodendiek and Walther in 1993. See [2] for further introduction. In this paper, we investigate properties of an $(a, d)$-antimagic graph. In particular, we study the $(a, d)$-antimagic labelings of complete graphs.
Reference:	[1] R. Bodendiek and G. Walther. On arithmetic antimagic edge labelings of graphs. Mitt. Math. Ges. Hamburg, 17 (1998) 8599., 1998. [2] Joseph Gallian. A dynamic survey of graph labeling. Electron J Combin DS6, 19, 11 2000.
Description:	碩士國立政治大學應用數學系 106751012
Source URI:	http://thesis.lib.nccu.edu.tw/record/#G0106751012
Data Type:	thesis
DOI:	10.6814/NCCU202000786
Appears in Collections:	[應用數學系] 學位論文

Files in This Item:

File	Description	Size	Format
101201.pdf		540Kb	Adobe PDF2	92	View/Open

社群 sharing

著作權政策宣告 Copyright Announcement

1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.

Loading...