A proof of the triangle inequality for the Tanimoto distance

被引：147

作者：

Lipkus, AH ^{[1
]}

机构：

[1] Chem Abstracts Serv Inc, Columbus, OH 43210 USA

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 1999年 / 26卷 / 1-3期

关键词：

D O I：

10.1023/A:1019154432472

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

A distance, or dissimilarity measure, can be defined based on the Tanimoto coefficient, a similarity measure widely applied to chemical structures. A new, simple proof that this distance satisfies the triangle inequality is presented.

引用

页码：263 / 265

页数：3

共 8 条

[1] BURKHARD WA, 1973, COMMUN ACM, V16, P230, DOI 10.1145/362003.362025
[2] Gower J. C., 1985, Encyclopedia of statistical sciences, VVol. 5, P397
[3] CHOICE OF REFERENCE POINTS IN BEST-MATCH FILE SEARCHING
SHAPIRO, M
[J]. COMMUNICATIONS OF THE ACM, 1977, 20 (05) : 339 - 343
[4] NEW TECHNIQUES FOR BEST-MATCH RETRIEVAL
SHASHA, D
WANG, TL
[J]. ACM TRANSACTIONS ON INFORMATION SYSTEMS, 1990, 8 (02) : 140 - 158
[5] SPATH H, 1980, CLUSTER ANAL ALGORIT, P27
[6] Tanimoto T.T., 1968, AUTOMATIC INFORMATIO, P238
[7] Chemical similarity searching
Willett, P
Barnard, JM
Downs, GM
[J]. JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1998, 38 (06): : 983 - 996
[8] Willett P., 1987, Similarity and clustering in chemical information systems

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