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https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/83428
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| 題名: | Integer-Magic Spectra of Sun Graphs |
| 作者: | Fu, Chin-Mei;Jhuang, Nan-Hua;Lin, Yuan-Lung |
| 貢獻者: | 淡江大學數學學系 |
| 關鍵詞: | Integer-magic spectra;Group-magic;Sun graphs |
| 日期: | 2011-10-01 |
| 上傳時間: | 2013-03-19 14:01:37 (UTC+8) |
| 出版者: | Winnipeg: Charles Babbage Research Centre |
| 摘要: | Let N be the set of all positive integers, and Zn={0, 1, 2, …, n-1}. For any h ∈ N, a graph G=(V,E) is said to be Zh-magic if there exists a labeling f : E → Zh\{0} such that induced vertex labeling f+ : V → Zh, defined by f+(v)= ∑uv∈Ef(uv), is a constant map. The integer-magic spectrum of G is the set IM(G)={ h ∈ N|G is Zh-magic}. A sun graph is obtained from attaching a path to each pair of adjacent vertices in an n-cycle. In this paper we showed that the integer-magic spectra of sun graphs are completely determined. |
| 關聯: | ARS Combinatoria 103, pp.55-64 |
| DOI: | 10.1007/s10878-007-9052-x |
| 顯示於類別: | [應用數學與數據科學學系] 期刊論文
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