Determinants of adjacency matrices of graphs

2009/08/23 by Aliréza Abdollahi, Abdollahi, Alireza
Computer Science · Engineering · Mathematics · #05C50 #15A15 #Combinatorics (math.CO) #FOS: Mathematics #Graph Labeling and Dimension Problems #Graph theory and applications #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.0908.3324

openalex publication_date 2009/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the set of all determinants of adjacency matrices of graphs with a given number of vertices.

Related

• A family of determinants associated with a square matrix
• The Square of Adjacency Matrices
• The adjacency matrix of one type of graph and the Fibonacci numbers
• The determinant of the distance matrix of graphs with at most two cycles
• Hermitian adjacency matrices with at most three distinct eigenvalues