THEORY OF POLYPENTAGONS

被引:13
作者
CYVIN, SJ
CYVIN, BN
BRUNVOLL, J
BRENDSDAL, E
ZHANG, FJ
GUO, XF
TOSIC, R
机构
[1] XINJIANG UNIV, DEPT MATH, Urumqi 830046, PEOPLES R CHINA
[2] UNIV NOVI SAD, INST MATH, 21000 NOVI SAD, YUGOSLAVIA
来源
JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES | 1993年 / 33卷 / 03期
关键词
D O I
10.1021/ci00013a027
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
Polypentagons are systems consisting of pentagons exclusively. Some of their topological properties are studied, including the relations between certain invariants. Complete mathematical solutions are reported for the numbers of polypentagons within certain classes: catacondensed systems (without internal vertices) and systems with one internal vertex and with two connected internal vertices. A complete account on proper polypentagons is given. These systems can, by definition, be embedded on a regular dodecahedron. It is found that exactly 39 such systems exist. Their chemical formulas (C(n)H(s)), forms, and symmetries are specified.
引用
收藏
页码:466 / 474
页数:9
相关论文
共 25 条
[1]   AROMATICITY OF NON-ALTERNANT ANNULENOANNULENES AND OF CORANNULENES [J].
AGRANAT, I ;
HESS, BA ;
SCHAAD, LJ .
PURE AND APPLIED CHEMISTRY, 1980, 52 (06) :1399-1407
[2]  
BALABAN AT, 1970, REV ROUM CHIM, V15, P1251
[3]  
BALABAN AT, 1989, MATH CHEM, V24, P29
[4]  
BALABAN AT, 1990, MATCH-COMMUN MATH CO, V25, P275
[5]  
Bonchev D., 1991, CHEM GRAPH THEORY IN
[6]  
CYVIN SJ, 1992, J MOL STRUC-THEOCHEM, V94, P219, DOI 10.1016/0166-1280(92)85110-7
[7]  
CYVIN SJ, 1991, LECTURE NOTES CHEM, V54
[8]  
CYVIN SJ, 1988, LECTURE NOTES CHEM, V46
[9]   STUDIES IN DECIPHERING THE INFORMATION-CONTENT OF CHEMICAL FORMULAS - A COMPREHENSIVE STUDY OF FLUORENES AND FLUORANTHENES [J].
DIAS, JR .
JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1992, 32 (01) :2-11
[10]   PERIODIC TABLE FOR POLYCYCLIC AROMATIC-HYDROCARBONS .2. POLYCYCLIC AROMATIC-HYDROCARBONS CONTAINING TETRAGONAL, PENTAGONAL, HEPTAGONAL, AND OCTAGONAL RINGS [J].
DIAS, JR .
JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1982, 22 (03) :139-152