Chemical Graphs Constructed of Composite Graphs and Their q-Wiener Index

被引：0

作者：

Hamzeh, Asma ^{[1
]}

Iranmanesh, Ali ^{[1
]}

Reti, Tamas ^{[2
]}

Gutman, Ivan ^{[3
]}

机构：

[1] Tarbiat Modares Univ, Fac Math Sci, Dept Math, Tehran, Iran

[2] Obuda Univ, H-1034 Budapest, Hungary

[3] Univ Kragujevac, Fac Sci, Kragujevac 34000, Serbia

来源：

MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY | 2014年 / 72卷 / 03期

关键词：

COUNTING POLYNOMIALS; TREES; PLEROGRAMS;

D O I：

暂无

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

The Wiener index W is the sum of distances between all pairs of vertices of a connected graph. Recently Zhang et al. [MATCH Commun. Math. Comput. Chem. 67 (2012) 347] considered the q-analog of W, motivated by the theory of hypergeometric series. We obtain explicit formulas for the q-Wiener index of cluster and corona of graphs, of which thorny and bridge graphs are special cases. Using these formulas, the q-Wiener indices of several classes of chemical graphs are computed.

引用

页码：807 / 823

页数：17

共 26 条

[1]

[Anonymous], 1990, Distance in Graphs

[2]

Azari M, 2013, MATCH-COMMUN MATH CO, V70, P921

[3]

Bonchev D, 2002, CROAT CHEM ACTA, V75, P613

[4]

Deutsch E, 2013, MATCH-COMMUN MATH CO, V70, P627

[5] Wiener index of trees: Theory and applications [J].

Dobrynin, AA ;

Entringer, R ;

Gutman, I .

ACTA APPLICANDAE MATHEMATICAE, 2001, 66 (03) :211-249

[6] GUTMAN TREES - COMBINATORIAL-RECURSIVE RELATIONS OF COUNTING POLYNOMIALS - DATA REDUCTION USING CHEMICAL GRAPHS [J].

ELBASIL, S .

JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS II, 1986, 82 :299-316

[7]

Godsil C. D., 1978, Bulletin of the Australian Mathematical Society, V18, P21, DOI [DOI 10.1017/S0004972700007760, 10.1017/S0004972700007760 0376.05049]

[8] TOPOLOGICAL PROPERTIES OF BENZENOID SYSTEMS - IDENTITY FOR SEXTET POLYNOMIAL [J].

GUTMAN, I .

THEORETICA CHIMICA ACTA, 1977, 45 (04) :309-315

[9] Graph representation of organic molecules - Cayley's plerograms vs. his kenograms [J].

Gutman, I ;

Vidovic, D ;

Popovic, L .

JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS, 1998, 94 (07) :857-860

[10]

GUTMAN I, 1993, INDIAN J CHEM A, V32, P651

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