Computing the Permanental Polynomial of the High Level Fullerene C 70 with High Precision
Computing the Permanental Polynomial of the High Level Fullerene C 70 with High Precision
复制标题
DOI：
--
复制
发表时间：
--
期刊：
影响因子：
--
通讯作者：
Qiang Chou;Heng Liang;F. Bai
中科院分区：
文献类型：
--
作者：
Qiang Chou;Heng Liang;F. Bai
在PC机上用基于稀疏图的四倍精度算法计算了IPR富勒烯C70（D5h）的永久多项式，并在可接受的时间内完成了计算。计算采用128位存储一个浮点数，对C70很好，而以前计算的最大富勒烯是C60，现在可以很容易地获得。本文还研究了IPR富勒烯C_（60）和C_（70）的积和多项式的系数和零点的一些性质。计算结果表明，四倍精度方法可以处理C70甚至更大富勒烯的恒多项式，具有实际应用价值。
The permanental polynomial of IPR fullerene C70(D5h) is computed with quadruple precision arithmetic based on sparse graph on PC in acceptable time. The computing adopts 128 bits to store one float and works well for C70, while the largest fullerene computed before is C60, which can be easily obtained now. Some properties of the coefficients and zeroes of the permanental polynomials of IPR fullerenes C60 and C70 are also investigated. Computational results show the quadruple precision method can handle permanental polynomial of C70 and even larger fullerenes, which are of interest in applications.