關鍵字查詢 | 類別:期刊論文 | | 關鍵字:Generalized Wiener indices in hexagonal chains

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1 94/1 數學系 楊柏因 副教授 期刊論文 發佈 Generalized Wiener indices in hexagonal chains , [94-1] :Generalized Wiener indices in hexagonal chains期刊論文Generalized Wiener indices in hexagonal chains計算六角環鍊的推廣 Wiener 指數游森棚; Eu, Sen-peng; 楊柏因; Yang, Bo-yin; 葉永南; Yeh, Yeong-nan淡江大學數學學系Wiley-BlackwellInternational Journal of Quantum Chemistry 106(2), pp.426-435The 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,
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