四叶树Hosoya指标显式公式及其序列

为研究四叶树Hosoya指标的规律,利用图论的分支分析法,解决了四叶树Hosoya指标的显式公式和序列.对于一般的t叶树,仍然用同样分支分析法,得到相应的t叶树Hosoya指标的显式公式和序列.发现了一族初值不一样的Fibonacci序列,在科学上对组合数学和图论提供了一定参考.

Explicit formula of Hosoya index of four leaf tree with its sequence

To research into the laws of Hosoya index for four leaf tree, by means of analyzing method of components in graph theory, the explicit formula of Hosoya index of four leaf tree and its sequence are solved. For general t leaf tree, by adopting the same method, the explicit formula of Hosoya index of corresponding t leaf tree and its sequence are obtained. A family of Fibonacci sequences whose initial values are not the same are discovered, which provides some scientific references for combinatorics and graph theory.