Generalized block diagonal Laplacian spectrum of graphs
Combinatorics
2025-12-01 v1
Abstract
We reduce the block all-one matrices in the generalized block Laplacian spectrum of graphs to block all-one matrices in the generalized block diagonal Lapalcian spectrum of graphs introduced by Wang and the second author (\textit{Adv. Appl. Math.} 173B (2026)). In this case the matrices are all real symmetric, and hence the spectrum is real, which does not hold for the generalized block Laplacian spectrum. We also investigate the analogue by Hermitian adjacency matrix of digraphs.
Keywords
Cite
@article{arxiv.2511.23246,
title = {Generalized block diagonal Laplacian spectrum of graphs},
author = {Yanrui Xu and Da Zhao},
journal= {arXiv preprint arXiv:2511.23246},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:2412.20016