Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772977 | Linear Algebra and its Applications | 2017 | 15 Pages |
Abstract
In this article we investigate normalized adjacency eigenvalues (simply normalized eigenvalues) and normalized adjacency energy of connected threshold graphs. A threshold graph can always be represented as a unique binary string. Certain eigenvalues are obtained directly from its binary representation and the rest of the eigenvalues are evaluated from its normalized equitable partition matrix. Finally, we characterize threshold graphs with at most five distinct eigenvalues.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Anirban Banerjee, Ranjit Mehatari,