CENTROSYMMETRIC GRAPHS AND A LOWER BOUND FOR GRAPH ENERGY OF FULLERENES

被引：3

作者：

Katona, Gyula Y. ^{[1
,2
]}

Faghani, Morteza ^{[3
]}

Ashrafi, Ali Reza ^{[4
]}

机构：

[1] Budapest Univ Technol & Econ, Dept Comp Sci & Informat Theory, Budapest, Hungary

[2] MTA ELTE Numer Anal & Large Networks Res Grp, Budapest, Hungary

[3] Payam E Noor Univ, Dept Math, Tehran, Iran

[4] Univ Kashan, Dept Pure Math, Fac Math Sci, Kashan 8731751167, Iran

来源：

DISCUSSIONES MATHEMATICAE GRAPH THEORY | 2014年 / 34卷 / 04期

关键词：

centrosymmetric matrix; fullerene graph; energy; MATRICES;

D O I：

10.7151/dmgt.1761

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The energy of a molecular graph G is defined as the summation of the absolute values of the eigenvalues of adjacency matrix of a graph G. In this paper, an infinite class of fullerene graphs with 10n vertices, n >= 2, is considered. By proving centrosymmetricity of the adjacency matrix of these fullerene graphs, a lower bound for its energy is given. Our method is general and can be extended to other class of fullerene graphs.

引用

页码：751 / 768

页数：18

共 50 条

[1] A lower bound for graph energy
Zhou, Qi
Wong, Dein
Sun, Dongqin
[J]. LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (08): : 1624 - 1632
[2] A new lower bound for the energy of graphs
Oboudi, Mohammad Reza
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 580 : 384 - 395
[3] Improved lower bound on the energy of line graphs
Akbari, Saieed
Lin, Hongying
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2023, 674 : 442 - 452
[4] Improving a Lower Bound for Seidel Energy of Graphs
Oboudi, Mohammad Reza
Nematollahi, Mohammad Ali
[J]. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2023, 89 (02) : 489 - 502
[5] A lower bound for the energy of symmetric matrices and graphs
Andrade, Enide
Robbiano, Maria
San Martin, B.
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 513 : 264 - 275
[6] A Very Short Proof for a Lower Bound for Energy of Graphs
Oboudi, Mohammad Reza
[J]. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2020, 84 (02) : 345 - 347
[7] A Lower Bound for the Energy of Hypoenergetic and Non Hypoenergetic Graphs
Andrade, Enide
Carmona, Juan R.
Infante, Geraldine
Robbiano, Maria
[J]. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2020, 83 (03) : 579 - 592
[8] An improved lower bound for the Seidel energy of tree graphs
Einollahzadeh, M.
Nematollahi, Mohammad Ali
[J]. arXiv, 2021,
[9] The Lower Bound of Kekule Count of Fullerenes
Qian, Jin
Liang, Heng
Bai, Fengshan
[J]. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2020, 84 (01) : 239 - 248
[10] A sharp lower bound of the spectral radius with application to the energy of a graph
Guo, Ji-Ming
Yu, Meng-Ni
[J]. DISCRETE APPLIED MATHEMATICS, 2021, 293 : 59 - 63

← 1 2 3 4 5 →