2 papers
math.CO2025
New matrices for the spectral theory of mixed graphs, Part II
G. Kalaivani, R. Rajkumar
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 characteristi…
math.CO2024
New matrices for the spectral theory of mixed graphs, part I
G. Kalaivani, R. Rajkumar
In this paper, we introduce a matrix for a mixed graph, called the integrated adjacency matrix. This matrix uniquely determines a mixed graph, as long as the indices of the matrix…