THE RANGE OF THE WIENER INDEX AND ITS MEAN ISOMER DEGENERACY

被引：23

作者：

GUTMAN, I ^{[1
]}

SOLTES, L ^{[1
]}

机构：

[1] COMENIUS UNIV, FAC MATH & PHYS, CS-80100 BRATISLAVA, CZECHOSLOVAKIA

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 1991年 / 46卷 / 10期

关键词：

D O I：

10.1515/zna-1991-1005

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

Sharp lower and upper bounds for the Wiener index (W) of a connected (n, m)-graph are reported; n = n umber of vertices, m = number of edges. The mean isomer degeneracy of W is estimated and is shown to unboundedly increase with increasing n. Thus the isomer-discriminating power of W is confirmed to be very low in the case of large molecules.

引用

页码：865 / 868

页数：4

共 32 条

[1]

BALABAN AT, 1983, TOP CURR CHEM, V114, P21

[2] APPLICATION OF TOPOLOGICAL INDEXES TO GAS-CHROMATOGRAPHIC DATA - CALCULATION OF THE RETENTION INDEXES OF ISOMERIC ALKYLBENZENES [J].

BONCHEV, D ;

MEKENJAN, O ;

PROTIC, G ;

TRINAJSTIC, N .

JOURNAL OF CHROMATOGRAPHY, 1979, 176 (02) :149-156

[3] TOPOLOGICAL APPROACH TO CRYSTAL VACANCY STUDIES .1. MODEL CRYSTALLITES WITH A SINGLE VACANCY [J].

BONCHEV, D ;

MEKENYAN, O ;

FRITSCHE, HG .

PHYSICA STATUS SOLIDI A-APPLIED RESEARCH, 1979, 55 (01) :181-187

[4] AN APPROACH TO THE TOPOLOGICAL MODELING OF CRYSTAL-GROWTH [J].

BONCHEV, D ;

MEKENYAN, O ;

FRITSCHE, H .

JOURNAL OF CRYSTAL GROWTH, 1980, 49 (01) :90-96

[5] DETERMINATION OF THE WIENER MOLECULAR BRANCHING INDEX FOR THE GENERAL TREE [J].

CANFIELD, ER ;

ROBINSON, RW ;

ROUVRAY, DH .

JOURNAL OF COMPUTATIONAL CHEMISTRY, 1985, 6 (06) :598-609

[6]

Cayley Arthur, 1889, Q J PURE APPL MATH, V23, P376, DOI [10.1017/cbo9780511703799.010, DOI 10.1017/CBO9780511703799]

[7]

GUTMAN I, 1987, COLL SCI PAPERS FS K, V8, P15

[8]

Gutman I., 1986, MATH CONCEPTS ORGANI, DOI DOI 10.1007/978-3-642-70982-1

[9]

GUTMAN I, 1986, MATH CHEM, V20, P115

[10] MAXIMUM CONNECTIVITY OF A GRAPH [J].

HARARY, F .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1962, 48 (07) :1142-&

← 1 2 3 4 →