Vertex weighted Laplacian Energy of union of graphs

Vertex weighted Laplacian Energy of union of graphs

The vertex weighted Laplacian energy with respect to the vertex weight $w$ of a graph $G$ with $n$ vertices is defined as ~$LE_w(G)=\sum\limits_{i=1}^n|\mu_i-\bar{w}|$, where ${{\mu }_{1}},{{\mu }_{2}},...,{{\mu }_{n}}$ are the Laplacian eigenvalues of $G$ and $\bar{w}$ is the average value of the w...

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Bibliographic Details
Main Author: Nilanjan De
Format: Article
Language:English
Published: Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova 2018-05-01
Series:Computer Science Journal of Moldova
Subjects:
Eigenvalue
Energy (of graph)
Laplacian energy
Online Access:http://www.math.md/files/csjm/v26-n1/v26-n1-(pp29-38).pdf

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