A note on an infinite family of graphs with all different integral Laplacian eigenvalues
Combinatorics
2024-09-04 v1
Abstract
In this note, we give an infinite family of optimal graphs called . They are optimal in the sense that they have the maximum possible number of vertices for given a diameter and the so-called `outer multiset dimension' . We provide their spectra, which have the property that their Laplacian eigenvalues are all different and integral. Finally, we also obtained their eigenvectors.
Keywords
Cite
@article{arxiv.2409.00516,
title = {A note on an infinite family of graphs with all different integral Laplacian eigenvalues},
author = {C. Dalfó and M. A. Fiol},
journal= {arXiv preprint arXiv:2409.00516},
year = {2024}
}