On the locating matrix of a graph and its spectral analysis

We introduce a new matrix representation for a graph by defining the locating matrix $\mathbf{Lo}(G)$ of $G$. We define the locating eigenvalues, the locating spectrum, and locating energy of the graph and we calculate them for some standard graphs. We also obtain bounds for the locating energy for...

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Bibliographic Details
Main Authors: H. N. Ramaswamy, Anwar Alwardi, N. Ravi Kumar
Format: Article
Language:English
Published: Vladimir Andrunachievici Institute of Mathematics and Computer Science 2017-12-01
Series:Computer Science Journal of Moldova
Subjects:
Online Access:http://www.math.md/files/csjm/v25-n3/v25-n2-(pp260-277).pdf