New matrices for the spectral theory of mixed graphs, part II
Abstract
The concept of the integrated adjacency matrix for mixed graphs was first introduced in [9], where its spectral properties were analyzed in relation to the structural characteristics of the mixed graph. Building upon this foundation, this paper introduces the integrated Laplacian matrix, the integrated signless Laplacian matrix, and the normalized integrated Laplacian matrix for mixed graphs. We further explore how the spectra of these matrices relate to the structural properties of the mixed graph.
Fields of Study & Subjects
Graph theory and applications
Matrix Theory and Algorithms
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Utilitas Mathematica
- Volume
- 127
- Pages
- 281–311
- Publication date
- 16 June 2026
- Language
- EN