TOPOLOGICAL INDEXES AND REAL NUMBER VERTEX INVARIANTS BASED ON GRAPH EIGENVALUES OR EIGENVECTORS

被引：145

作者：

BALABAN, AT ^{[1
]}

CIUBOTARIU, D ^{[1
]}

MEDELEANU, M ^{[1
]}

机构：

[1] INST POLYTECH TRAIAN VUIA,DEPT ORGAN CHEM,TIMISOARA,ROMANIA

来源：

JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES | 1991年 / 31卷 / 04期

关键词：

D O I：

10.1021/ci00004a014

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

Eigenvectors obtained from the adjacency or distance matrix of graphs, corresponding to the largest negative eigenvalue, are useful real number vertex invariants for intramolecular ordering of vertices. From them or from eigenvalues, several new topological indices have been tested on the basis of intermolecular of isomeric alkanes and of correlating ability with properties such as the boiling temperature.

引用

页码：517 / 523

页数：7

共 45 条

[31] The minimum number of multiplicity 1 eigenvalues among real symmetric matrices whose graph is a linear tree
Ding, Wenxuan
Johnson, Charles R.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2023, 665 : 315 - 338
[32] The minimum number of multiplicity 1 eigenvalues among real symmetric matrices whose graph is a nonlinear tree
Ding, Wenxuan
Johnson, Charles R.
SPECIAL MATRICES, 2021, 10 (01): : 203 - 218
[33] Vertex-degree-based topological indices of hexagonal systems with equal number of edges
Rada, Juan
APPLIED MATHEMATICS AND COMPUTATION, 2017, 296 : 270 - 276
[34] Computing Eigenvectors and Corresponding Eigenvalues with Largest or Smallest Modulus of Real Antisymmetric Matrix Based on Neural Network with Less Scale
Tang, Ying
Li, Jianping
2010 2ND INTERNATIONAL CONFERENCE ON COMPUTER AND AUTOMATION ENGINEERING (ICCAE 2010), VOL 1, 2010, : 608 - 612
[35] On vertex and edge eccentricity-based topological indices of a certain chemical graph that represents bidentate ligands
Turaci, Mukaddes Okten
JOURNAL OF MOLECULAR STRUCTURE, 2020, 1207
[36] The minimum number of multiplicity 1 eigenvalues among real symmetric matrices whose graph is a 2-linear tree
Ding, Wenxuan
Ingwersen, Matthew
Johnson, Charles R.
LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (06): : 945 - 960
[37] Vertex-based graph neural network classification model considering structural topological features for structural optimization
Cao, Hongyou
Li, Ming
Nie, Lili
Xie, Yuxi
Kong, Fan
COMPUTERS & STRUCTURES, 2024, 305
[38] Resistance distance-based graph invariants and the number of spanning trees of linear crossed octagonal graphs
Zhao, Jing
Liu, Jia-Bao
Hayat, Sakander
Liu, Jia-Bao (liujiabaoad@163.com), 1600, Springer Science and Business Media Deutschland GmbH (63): : 1 - 2
[39] Computation of Vertex-Based Topological Indices of Middle Graph of Alkane (CtH2t+2)
Sardar, Muhammad Shoaib
Siddique, Imran
Jarad, Fahd
Ali, Muhammad Asad
Turkan, Erkan Murat
Danish, Muhammad
JOURNAL OF MATHEMATICS, 2022, 2022
[40] Computing Vertex-Based Eccentric Topological Descriptors of Zero-Divisor Graph Associated with Commutative Rings
Ahmadini, Abdullah Ali H.
Koam, Ali N. A.
Ahmad, Ali
Baca, Martin
Semanicova-Fenovcikova, Andrea
MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020

← 1 2 3 4 5 →