METRIC PROPERTIES OF THE BETHE LATTICE AND THE HUSIMI CACTUS

被引：10
|
作者：
DEMIRANDANETO, JA
MORAES, F
机构：
来源：
JOURNAL DE PHYSIQUE I | 1992年 / 2卷 / 08期
关键词：
D O I：
10.1051/jp1:1992233
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Bethe lattice and the Husimi cactus, traditionally viewed as graphs embedded in infinite-dimensional spaces, have been used to model a variety of problems. However, only their topological and connectivity properties are used in such models where the idea of metric distance between vertices and bond angles is meaningless. By following the indication of Mosseri and Sadoc that such lattices can be embedded in two-dimensional hyperbolic spaces, we obtain metric properties for those structures and discuss further applications.
引用
收藏
页码：1657 / 1666
页数：10
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