Orientations of hexagonal chains with extremal values of the Randic index

被引：4

作者：

Bermudo, Sergio ^{[1
]}

Monsalve, Juan ^{[2
]}

Rada, Juan ^{[2
]}

机构：

[1] Pablo de Olavide Univ, Dept Econ Quantitat Methods & Econ Hist, Seville, Spain

[2] Univ Antioquia, Inst Matemat, Medellin, Colombia

来源：

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY | 2021年 / 121卷 / 18期

关键词：

extremal values; hexagonal chain; orientations; Randic index; GRAPHS; ENERGY;

D O I：

10.1002/qua.26744

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：

Let D be a digraph with set of vertices V(D) and set of arcs A(D). Recently, the Randic index of D was extended to digraphs as R(D) = 1/2(uv is an element of A(D)) Sigma 1/root d(D)(+)(u)d(D)(-)(v), where d(D)(+)(u) and d(D)(-)(v) are the out-degree and in-degree of u and v, respectively. In this paper we study the extremal values of R over the set of all orientations of hexagonal chains with k hexagons.

引用

页数：11

共 28 条

[1]

[Anonymous], 2008, ANAL BIOL NETWORKS

[2]

[Anonymous], 1986, Molecular Connectivity in Structure-Activity Analysis

[3]

Consonni V., 2009, Molecular Descriptors For Chemoinformatics

[4] Measuring the complexity of directed graphs: A polynomial-based approach [J].

Dehmer, Matthias ;

Chen, Zengqiang ;

Emmert-Streib, Frank ;

Tripathi, Shailesh ;

Mowshowitz, Abbe ;

Levitchi, Alexei ;

Feng, Lihua ;

Shi, Yongtang ;

Tao, Jin .

PLOS ONE, 2019, 14 (11)

[5]

Devillers J., 1999, Topological Indices and Related Descriptors in QSAR and QSPR

[6]

Dutta B., 2000, Review of Economic Design, V5, P251, DOI DOI 10.1007/PL00013688

[7] Returnability in complex directed networks (digraphs) [J].

Estrada, Ernesto ;

Hatano, Naomichi .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (8-9) :1886-1896

[8] Counterexamples to the conjecture on orientations of graphs with minimum Wiener index [J].

Fang, Yibin ;

Gao, Yubin .

DISCRETE APPLIED MATHEMATICS, 2017, 232 :213-220

[9]

Gutman I., 1989, Introduction to the Theory of Benzenoid Hydrocarbons

[10]

Gutman I., 1978, BER MATH STATIST SEK, V103, P1, DOI [DOI 10.1016/J.LAA.2004.02.038, DOI 10.1088/1742-5468/2008/10/P10008]

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