| Fibonacci数的图论应用 |
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| 引用本文： | 杨利民,杨正亮. Fibonacci数的图论应用[J]. 大理学院学报：综合版, 2011, 10(4): 12-16 |
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| 作者姓名： | 杨利民 杨正亮 |
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| 作者单位： | 大理学院数学与计算机学院,云南大理,671003 |
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| 基金项目： | 大理学院高层次人才科研启动基金资助项目 |
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| 摘 要： | 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(n)—因子数的公式。通过无K3的Hosoya指标Z(G)与A(G)的关系,A(G)和F1之间的计算公式移动到图G的Hosoya指标Z(G)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(n)-因子计数理论及其应用有十分有价值和本质性的进展。
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| 关 键 词： | 图论 Fibonacci数 S(n)—因子数 Hosoya指标 |
Graphic Applications on Fibonacci Numbers |
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| YANG Limin,YANG Zhengliang. Graphic Applications on Fibonacci Numbers[J]. Journal of Dali University, 2011, 10(4): 12-16 |
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| Authors: | YANG Limin YANG Zhengliang |
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| Affiliation: | (College of Mathematics and Computer,Dali University,Dali,Yunan 671003,China) |
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| Abstract: | On Fibonacci numbers,there exist some beautiful 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 K3 subgraph,the relationship betweenandcould be moved to Hosoya index for the special graph G.Finally,some special examples for Hosoya index are derived,graphic applications on Fibonacci numbers are pictured.For Hosoya index,Counting theory of S(n)-factors has interesting,value and substantial advance in its field.Hosoya index for Chemistry is presented mathematical value by graph theory. |
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| Keywords: | Graph theory Fibonacci numbers The number of-factors Hosoya index Subject ClassificationC 05C18 05C10 |
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