MINIMAL NETS

被引：47

作者：

BEUKEMANN, A

KLEE, WE

机构：

[1] Institut für Kristallographie der Universität, D-7500 Karlsruhe

来源：

ZEITSCHRIFT FUR KRISTALLOGRAPHIE | 1992年 / 201卷 / 1-2期

关键词：

GRAPHS; NETS; TOPOLOGY;

D O I：

10.1524/zkri.1992.201.1-2.37

中图分类号：

O7 [晶体学];

学科分类号：

0702 ; 070205 ; 0703 ; 080501 ;

摘要：

p-Periodic minimal nets are defined. It is shown that there is a one-to-one relation between thc nets and certain finite graphs. The finite graphs, which completely characterize the nets up to isomorphism, are called the quotient graphs of the nets. For a given p the number of p-periodic nets is finite. The 2- and 3-periodic minimal nets are presented together with their quotient graphs. In addition, the quotient graphs of the 4-periodic minimal nets are listed. Nets and quotient graphs are classified according to their eigenvalue spectra.

引用

页码：37 / 51

页数：15

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