English

Spectra of Subdivision Products of Digraphs

Combinatorics 2026-05-22 v1

Abstract

This paper introduces four types of subdivision products for simple directed graphs extending those from the undirected case, in particular, the subdivision-vertex join, subdivision-arc join, subdivision-vertex corona and subdivision-arc corona. Structural and spectral properties of these constructions are analyzed, with a focus on adjacency, Laplacian and signless Laplacian spectra.

Keywords

Cite

@article{arxiv.2605.21775,
  title  = {Spectra of Subdivision Products of Digraphs},
  author = {Michael Cavers and Farzad Maghsoudi and Babak Miraftab},
  journal= {arXiv preprint arXiv:2605.21775},
  year   = {2026}
}