On the Laplacian Energy of Trees with Perfect Matchings

被引：0

作者：

Chang, An ^{[1
]}

Deng, Bo ^{[1
]}

机构：

[1] Fuzhou Univ, Ctr Discrete Math, Fuzhou 350002, Fujian, Peoples R China

来源：

MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY | 2012年 / 68卷 / 03期

关键词：

GRAPH;

D O I：

暂无

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

Let T-n(d) be the set of all trees with n vertices, diameter d and perfect matchings. We show that the Laplacian energy of any tree in T-n(d), where d = 4,5, is no less than the Laplacian energy of the path P-n. Thus, we partly show that a conjecture by Radenkovic and Gutman is true.

引用

页码：767 / 776

页数：10

共 50 条

[1] On the Laplacian spectral radii of trees with perfect matchings
Yuan, Xi-Ying
Shao, Jia-Yu
He, Chang-Xiang
JOURNAL OF MATHEMATICAL CHEMISTRY, 2009, 46 (01) : 65 - 85
[2] On the kth Laplacian eigenvalues of trees with perfect matchings
Li, Jianxi
Shiu, Wai Chee
Chang, An
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (04) : 1036 - 1041
[3] On the Laplacian spectral radii of trees with perfect matchings
Xi-Ying Yuan
Jia-Yu Shao
Chang-Xiang He
Journal of Mathematical Chemistry, 2009, 46 : 65 - 85
[4] On the Laplacian spectral radii of trees with nearly perfect matchings
Li Zhang
Jiayu Shao
Journal of Systems Science and Complexity, 2009, 22 : 533 - 540
[5] Note on the kth Laplacian eigenvalues of trees with perfect matchings
Yuan, Xi-Ying
Guo, Ji-Ming
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 483 : 115 - 127
[6] ON THE LAPLACIAN SPECTRAL RADII OF TREES WITH NEARLY PERFECT MATCHINGS
Zhang, Li
Shao, Jiayu
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2009, 22 (03) : 533 - 540
[7] ON THE LAPLACIAN SPECTRAL RADII OF TREES WITH NEARLY PERFECT MATCHINGS
Li ZHANGDepartment of Applied Mathematics
JournalofSystemsScience&Complexity, 2009, 22 (03) : 533 - 540
[8] Laplacian Spectral Radius and Maximum Degree of Trees with Perfect Matchings
Chen, Xiaodan
Qian, Jianguo
GRAPHS AND COMBINATORICS, 2013, 29 (05) : 1249 - 1257
[9] Laplacian Spectral Radius and Maximum Degree of Trees with Perfect Matchings
Xiaodan Chen
Jianguo Qian
Graphs and Combinatorics, 2013, 29 : 1249 - 1257
[10] On the minimal energy ordering of trees with perfect matchings
Department of Applied Mathematics, China University of Petroleum, Shandong Dongying, 257061, China
Discrete Appl Math, 14 (2598-2605):

← 1 2 3 4 5 →