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| 研究生： |
黃衍勝 Yan-sheng Huang |
|---|---|
| 論文名稱： | The antimagic graph with a generalization |
| 指導教授： | 林強 |
| 口試委員: | |
| 學位類別： |
碩士 Master |
| 系所名稱： |
理學院 - 數學系 Department of Mathematics |
| 論文出版年： | 2015 |
| 畢業學年度： | 103 |
| 語文別： | 英文 |
| 論文頁數： | 30 |
| 中文關鍵詞： | 圖論 、反魔術 |
| 相關次數： | 點閱：9 下載：0 |
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反魔術圖是圖形的一種標號,當我們找到一種標號方式使得圖形的所有點之和都不相同時,我們稱這種圖形是反魔術圖。
在這篇論文中,第一章我們討論反魔術圖的一些基本定義,第二章證明路徑(path)與星林(star forest)的聯集,在每一分量(component)的邊數都大於等於3的情況下是反魔術圖,第三章討論更廣義的反魔術性質,也證明了環路(cycle),完全圖(complete),輪子(wheel),風箏(kite)都是廣義的反魔術圖。
A graph G is called an antimagic graph if exists an edge labeling with labels 1,2,⋯,|E(G)| such that all vertex sums are distinct.
In this paper, Section 1 is the introduction of antimagic graph. In Section 2, we prove that the union of a path and some stars is antimagic. Section 3 is the introduction of antimagic with a generalization, and we prove that cycles, complete graphs, wheels and kites are R-antimagic.
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