4 papers · 1 filter
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…
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…