The Wiener index and the Szeged index of benzenoid systems in linear time

被引:65
作者
Chepoi, V [1 ]
Klavzar, S [1 ]
机构
[1] UNIV MARIBOR,DEPT MATH,PEF,MARIBOR 2000,SLOVENIA
来源
JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES | 1997年 / 37卷 / 04期
关键词
D O I
10.1021/ci9700079
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
A linear time algorithm is presented which, for a given benzenoid system G, computes the Wiener index of G. The algorithm is based on an isometric embedding of G into the Cartesian product of three trees, combined with the notion of the Wiener index of vertex-weighted graphs. An analogous approach yields also a linear algorithm for computing the Szeged index of benzenoid systems.
引用
收藏
页码:752 / 755
页数:4
相关论文
共 24 条
[1]  
[Anonymous], 1989, INTRO THEORY BENZENO
[2]   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
[3]   On distances in benzenoid systems [J].
Chepoi, V .
JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1996, 36 (06) :1169-1172
[4]  
Dobrynin A., 1994, Publ. Inst. Math. (Beograd), V56, P18
[5]   A WIENER-TYPE GRAPH INVARIANT FOR SOME BIPARTITE GRAPHS [J].
DOBRYNIN, AA ;
GUTMAN, I ;
DOMOTOR, G .
APPLIED MATHEMATICS LETTERS, 1995, 8 (05) :57-62
[6]  
DOBRYNIN AA, 1997, IN PRESS COMM MATH C, V35
[7]   ON ISOMETRIC EMBEDDINGS OF GRAPHS [J].
GRAHAM, RL ;
WINKLER, PM .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 288 (02) :527-536
[8]   AN ALGORITHM FOR THE CALCULATION OF THE SZEGED INDEX OF BENZENOID HYDROCARBONS [J].
GUTMAN, I ;
KLAVZAR, S .
JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1995, 35 (06) :1011-1014
[9]  
GUTMAN I, 1993, INDIAN J CHEM A, V32, P651
[10]  
GUTMAN I, 1993, J SERB CHEM SOC, V58, P745