English

A graph discretization of vector Laplace operator

Combinatorics 2023-12-12 v1

Abstract

In this paper, we study the graph-theoretic analogues of vector Laplacian (or Helmholtz operator) and vector Laplace equation. We determine the graph matrix representation of vector Laplacian and obtain the dimension of solution space of vector Laplace equation on graphs.

Keywords

Cite

@article{arxiv.2312.05754,
  title  = {A graph discretization of vector Laplace operator},
  author = {Shu Li and Lu Lu and Jianfeng Wang},
  journal= {arXiv preprint arXiv:2312.05754},
  year   = {2023}
}

Comments

10 pages

R2 v1 2026-06-28T13:46:08.732Z