3 papers
math.CO2026
Helmholzian spectra of graphs: basic properties
Lu Lu, Yongtang Shi, Zoran StaniÄ +2
The Helmholtzian matrix of a graph is a graph-theoretic analogue of the vector Laplacian (or Helmholtz operator) [S. Li, L. Lu, J.F. Wang, A graph discretization of…
math.CO2025
Decompositions of graphs with degree constraints relative to prescribed subgraphs
Peichao Wei, Muhuo Liu, Yang Wu +1
Given a finite simple undirected graph , let denote the subset of vertices of such that every vertex of belongs to at least one subgraph isomorphic to a gr…
math.CO2025
Signless Laplacian spectral analysis of a class of graph joins
Jiachang Ye, Zoran StaniÄ, Jianguo Qian
A graph is said to be determined by its signless Laplacian spectrum (abbreviated as DQS) if no other non-isomorphic graph shares the same signless Laplacian spectrum. In this paper…