| Generalized Wiener indices in hexagonal chains | |
|---|---|
| 學年 | 94 |
| 學期 | 1 |
| 出版（發表）日期 | 2006-01-01 |
| 作品名稱 | Generalized Wiener indices in hexagonal chains |
| 作品名稱（其他語言） | 計算六角環鍊的推廣 Wiener 指數 |
| 著者 | 游森棚; Eu, Sen-peng; 楊柏因; Yang, Bo-yin; 葉永南; Yeh, Yeong-nan |
| 單位 | 淡江大學數學學系 |
| 出版者 | Wiley-Blackwell |
| 著錄名稱、卷期、頁數 | International Journal of Quantum Chemistry 106(2), pp.426-435 |
| 摘要 | The Wiener index, or the Wiener number, also known as the “sum of distances” of a connected graph, is one of the quantities associated with a molecular graph that correlates nicely to physical and chemical properties, and has been studied in depth. An index proposed by Schultz is shown to be related to the Wiener index for trees, and Ivan Gutman proposed a modification of the Schultz index with similar properties. We deduce a similar relationship between these three indices for catacondensed benzenoid hydrocarbons (graphs formed of concatenated hexagons, or hexagonal chains, or sometimes acenes). Indeed, we may define three families of generalized Wiener indices, which include the Schultz and Modified Schultz indices as special cases, such that similar explicit formulae for all generalized Wiener indices hold on hexagonal chains. We accomplish this by first giving a more refined proof of the formula for the standard Wiener index of a hexagonal chain, then extending it to the generalized Wiener indices via the notion of partial Wiener indices. Finally, we discuss possible extensions of the result. |
| 關鍵字 | |
| 語言 | en |
| ISSN | 0020-7608 |
| 期刊性質 | 國內 |
| 收錄於 | |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 否 |
| 國別 | TWN |
| 公開徵稿 | |
| 出版型式 | ,電子版 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41257 ) |
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