Computing the Permanental Polynomial of the High Level Fullerene C70 with High Precision

被引:0
|
作者
Chou, Qiang [1 ]
Liang, Heng [2 ]
Bai, Fengshan [2 ]
机构
[1] State Nucl Power Software Dev Ctr, Beijing 102209, Peoples R China
[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
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中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
The permanental polynomial of IPR fullerene C-70(D-5h) 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 C-70, while the largest fullerene computed before is C-60, which can be easily obtained now. Some properties of the coefficients and zeroes of the permanental polynomials of IPR fullerenes C-60 and C-70 are also investigated. Computational results show the quadruple precision method can handle permanental polynomial of C-70 and even larger fullerenes, which are of interest in applications.
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页码:327 / 336
页数:10
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