The change of vertex energy when joining trees
Spectral Theory
2024-02-06 v1 Combinatorics
Abstract
In this manuscript we study how the vertex energy of a tree is affected when joined with a bipartite graph. We find an alternating pattern with respect to the coalescence vertex: the energy decreases for vertices located at odd distances and increases for those located at even distances.
Cite
@article{arxiv.2402.03225,
title = {The change of vertex energy when joining trees},
author = {Octavio Arizmendi and Saylé Sigarreta},
journal= {arXiv preprint arXiv:2402.03225},
year = {2024}
}
Comments
14 pages, 2 figures