FMF, Mathematical Library, Lj. (MAKLJ)
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Wiener index and Hosoya polynomial of Fibonacci and Lucas cubesKlavžar, Sandi ; Mollard, MichelV jeziku matematične kemije lahko Fibonaccijeve kocke definiramo kot resonančne grafe fibonacenov. Lucasove kocke tvorijo simetrizacijo Fibonaccijevih kock in se pojavijo kot resonančni grafi ... cikličnih polifenantrenov. V članku je dokazano, da lahko Wienerjev indeks Fibonaccijevih kock zapišemo kot vsoto produktov štirih Fibonaccijevih števil. Kot posledico lahko zapišemo zaprto formulo za Wienerjev indeks Fibonaccijevih kock. Izpeljano je tudi asimptotično obnašanje povprečne razdalje Fibonaccijevih kock. Dobljena je rodovna funkcija zaporedja urejenih Hosoyevih polinomov Fibonacijevih kock. Izpeljani so tudi paralelni rezultati za Lucasove kocke.Source: Match : communications in mathematical and in computer chemistry. - ISSN 0340-6253 (Vol. 68, no. 1, 2012, str. 311-324)Type of material - article, component partPublish date - 2012Language - englishCOBISS.SI-ID - 16309337
source: Match : communications in mathematical and in computer chemistry. - ISSN 0340-6253 (Vol. 68, no. 1, 2012, str. 311-324)
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Klavžar, Sandi | 05949 |
Mollard, Michel |
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