J4 ›› 2011, Vol. 10 ›› Issue (4): 12-16.
关于Fibonacci数，存在一些十分有价值的结论。利用图论的分支分析方法和Fibonacci数，获得Fibonacci数表示的图
G的所有s 一因子数的公式。通过无K，的Hosoya指标z(G)与A(G)的关系，A(G)和F 之间的计算公式移动到图G的Hosoya指标z(G1上。最后推导得出，Hosoya指标z(G)的一些特殊的例子，Fibonacci数的图论应用得到体现。由于Hosoya指标，s“ 一因子计数理论及其应用有十分有价值和本质性的进展。
On Fibonacci numbers，there exist some beautifu1 and value conclusions．Here many results are stated．In this paper we obtain the formula of all-factors of the special graph G by means of analyzing method of graphic components and Fibonacci number．By the relation between A(G)and hosoya index of the G without subgraph the relationship betweenandcould be moved to Hosova index for the special graph G．Finally．some special examples for Hosoya index are derived．graphic applications Oil Fibonacci numbers are pictured．For Hosoya index．Counting theory of S 。。factors has interesting．value and substantial advance in its field．Hosova index for Chemistry is presented mathematical value by graph theory．
