Lists of face-regular polyhedra

被引：12

作者：

Brinkmann, G

Deza, M ^{[1
]}

机构：

[1] Ecole Normale Super, CNRS, F-75005 Paris, France

[2] Ecole Normale Super, DMI, LIENS, F-75005 Paris, France

[3] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

来源：

JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES | 2000年 / 40卷 / 03期

关键词：

D O I：

10.1021/ci990034u

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

We introduce a new notion that connects the combinatorial concept of regularity with the geometrical notion of face transitivity. This new notion implies finiteness results in the case of bounded maximal face size. We give lists of structures for some classes and investigate polyhedra with constant vertex degrees and faces of only two sizes.

引用

页码：530 / 541

页数：12

共 30 条

[1]

[Anonymous], 1977, J GRAPH THEOR

[2] GRAPH INVARIANTS FOR FULLERENES [J].

BALABAN, AT ;

LIU, X ;

KLEIN, DJ ;

BABIC, D ;

SCHMALZ, TG ;

SEITZ, WA ;

RANDIC, M .

JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1995, 35 (03) :396-404

[3]

BALKE L, 1990, THESIS U BONN BONNER, P211

[4]

Cromwell P., 1997, Polyhedra

[5]

DELGADO O, 1990, THESIS U BIELEFELD

[6]

DELGADOFRIEDRIC.O, 1999, DIMACS SERIES DISC M

[7]

DEZA M, 1997, B I MATH ACAD SINICA, V25, P181

[8]

DEZA M, 1997, P INT C ALG COMB

[9]

DEZA M, 1999, J STAT PLANT INTERFE

[10]

Fowler P.W., 2006, ATLAS FULLERENES

← 1 2 3 →