4 papers
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…
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…
New matrices for spectral hypergraph theory, II
R. Vishnupriya, R. Rajkumar
The properties of a hypergraph explored through the spectrum of its unified matrix was made by the authors in [26]. In this paper, we introduce three different hypergraph matrices:…
New matrices for spectral hypergraph theory, I
R. Vishnupriya, R. Rajkumar
We introduce a hypergraph matrix, named the unified matrix, and use it to represent the hypergraph as a graph. We show that the unified matrix of a hypergraph is identical to the a…