On the Laplacian spectrum of an infinite graph

被引:0
|
作者
A. Torgašev
M. Petrović
机构
[1] Mathematical Faculty,
[2] Faculty of Science,undefined
来源
Mathematical Notes | 2006年 / 80卷
关键词
graph; infinite graph; Laplacian spectrum;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we introduce the notion of Laplacian spectrum of an infinite countable graph in a different way than in the papers by B. Mohar. We prove some basic properties of this type of spectrum. The approach used is in line with our approach to the limiting spectrum of an infinite graph. The technique of the Laplacian spectrum of finite graphs is essential in this approach.
引用
收藏
页码:729 / 739
页数:10
相关论文
共 50 条
  • [21] The normalized Laplacian spectrum of subdivisions of a graph
    Xie, Pinchen
    Zhang, Zhongzhi
    Comellas, Francesc
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 286 : 250 - 256
  • [22] On the Szeged and the Laplacian Szeged spectrum of a graph
    Fath-Tabar, Gholam Hossein
    Doslic, Tomislav
    Ashrafi, Ali Reza
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 433 (03) : 662 - 671
  • [23] The packing number and Laplacian spectrum of a graph
    Wen, Fei
    Huang, Qiongxiang
    Lou, Zhenzhen
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2014, 91 (07) : 1422 - 1427
  • [24] THE LAPLACIAN SPECTRUM OF A GRAPH .2.
    GRONE, R
    MERRIS, R
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 1994, 7 (02) : 221 - 229
  • [25] A Liouville property and its application to the Laplacian of an infinite graph
    Masamune, Jun
    SPECTRAL ANALYSIS IN GEOMETRY AND NUMBER THEORY, 2009, 484 : 103 - 115
  • [26] On the spectrum of the net Laplacian matrix of a signed graph
    Stanic, Zoran
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2020, 63 (02): : 205 - 213
  • [27] Laplacian spectrum of comaximal graph of the ring Zn
    Banerjee, Subarsha
    SPECIAL MATRICES, 2022, 10 (01): : 285 - 298
  • [28] Graph Laplacian Spectrum and Primary Frequency Regulation
    Guo, Linqi
    Zhao, Changhong
    Low, Steven H.
    2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 158 - 165
  • [29] On the spectrum of the quasi-Laplacian matrix of a graph
    Tan Xuezhong
    Liu Bolian
    AUSTRALASIAN JOURNAL OF COMBINATORICS, 2006, 34 : 49 - 55
  • [30] A relation between the matching number and Laplacian spectrum of a graph
    Ming, GJ
    Wang, TS
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2001, 325 (1-3) : 71 - 74