数学
组合数学
特征向量
有界函数
弦图
无差别图
离散数学
图形
物理
数学分析
量子力学
作者
Milica Anđelić,Tamara Koledin,Zoran Stanić
出处
期刊:Electronic Journal of Linear Algebra
[University of Wyoming Libraries]
日期:2012-01-01
卷期号:24
被引量:3
标识
DOI:10.13001/1081-3810.1587
摘要
Nested split and double nested graphs (commonly named nested graphs) are considered. General statements regarding the signless Laplacian spectra are proven, and the nested graphs whose second largest signless Laplacian eigenvalue is bounded by a fixed integral constant are studied. Some sufficient conditions are provided and a procedure for classifying such graphs in particular cases is provided. Some connections between their structure and some (not only the second) eigenvalues of their signless Laplacians are developed. All double nested graphs whose second largest eigenvalue does not exceed √ 2 are determined.
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