Paper Info
Title
A few properties of the eigenvalues of normalized graph Laplacian
Abstract
Here we have investigated a few properties of the eigenvalues of normalized (geometric) graph Laplacian in different graphs. Preservation of eigenvalue 1 from a particular subgraph to the entire graph, the spectrum of the graph constructed with triangles share a common vertex have been addressed. Further using the number and degrees of common neighbors between vertices some new upper bounds for the largest eigenvalue have been introduced.
Year
Venue
Field
2012
CoRR
Discrete mathematics,Laplacian matrix,Combinatorics,Line graph,Cycle graph,Algebraic connectivity,Regular graph,Distance-regular graph,Factor-critical graph,Butterfly graph,Mathematics
DocType
Volume
Citations 
Journal
abs/1210.5091
2
PageRank 
References 
Authors
0.77
0
1
Name
Order
Citations
PageRank
Anirban Banerjee17511.29