Enumeration of tree-like octagonal systems

被引：13

作者：

Brunvoll, J

Cyvin, SJ

Cyvin, BN

机构：

[1] Department of Physical Chemistry, Norwegian Univ. of Sci. and Technol.

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 1997年 / 21卷 / 02期

关键词：

D O I：

10.1023/A:1019122419384

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

Tree-like octagonal systems (O) are catacondensed systems of octagons, which represent a class of polycyclic conjugated hydrocarbons. Their numbers of isomers are determined and expressed in terms of generating functions.

引用

页码：193 / 196

页数：4

共 17 条

[1] CHEMICAL GRAPHS .5. ENUMERATION AND PROPOSED NOMENCLATURE OF BENZENOID CATA-CONDENSED POLYCYCLIC AROMATIC HYDROCARBONS [J].

BALABAN, AT ;

HARARY, F .

TETRAHEDRON, 1968, 24 (06) :2505-&

[2] ENUMERATION OF POLYENE HYDROCARBONS - A COMPLETE MATHEMATICAL SOLUTION [J].

CYVIN, SJ ;

BRUNVOLL, J ;

BRENDSDAL, E ;

CYVIN, BN .

JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1995, 35 (04) :743-751

[3] GENERATING-FUNCTIONS FOR THE HARARY READ NUMBERS CLASSIFIED ACCORDING TO SYMMETRY [J].

CYVIN, SJ ;

BRUNVOLL, J .

JOURNAL OF MATHEMATICAL CHEMISTRY, 1992, 9 (01) :33-38

[4] HARARY READ NUMBERS FOR CATAFUSENES - COMPLETE CLASSIFICATION ACCORDING TO SYMMETRY [J].

CYVIN, SJ ;

BRUNVOLL, J ;

CYVIN, BN .

JOURNAL OF MATHEMATICAL CHEMISTRY, 1992, 9 (01) :19-31

[5]

CYVIN SJ, 1995, THEOCHEM-J MOL STRUC, V357, P255

[6]

HARARY F, 1975, J REINE ANGEW MATH, V278, P322

[7] CELL-GROWTH PROBLEM FOR ARBITRARY POLYGONS [J].

HARARY, F ;

PALMER, EM ;

READ, RC .

DISCRETE MATHEMATICS, 1975, 11 (3-4) :371-389

[8] THE NUMBER OF HOMEOMORPHICALLY IRREDUCIBLE TREES, AND OTHER SPECIES [J].

HARARY, F ;

PRINS, G .

ACTA MATHEMATICA, 1959, 101 (1-2) :141-162

[9]

Harary F, 1960, P AM MATH SOC, V11, P332

[10]

HARARY F, 1970, P EDINBURGH MATH SOC, V2, P1

← 1 2 →