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http://ir.lib.ncu.edu.tw/handle/987654321/66915
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| Title: | The antimagic graph with a generalization |
| Authors: | 黃衍勝;Huang,Yan-sheng |
| Contributors: | 數學系 |
| Keywords: | 圖論;反魔術 |
| Date: | 2015-01-14 |
| Issue Date: | 2015-03-16 16:00:04 (UTC+8) |
| Publisher: | 國立中央大學 |
| Abstract: | 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. |
| Appears in Collections: | [數學研究所] 博碩士論文
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