5 papers
The -Signless Laplacian Adjacency Matrix of Mixed Graphs
Omar Alomari, Mohammad Abudayah, Manal Ghanem
The -Hermitian adjacency matrix of a mixed graph has been recently introduced. It is a generalization of the adjacency matrix of unoriented graphs. In this paper, we c…
Inverse of -Hermitian Adjacency Matrix of a Unicyclic Bipartite Graph
Mohammad Abudayah, Omar Alomari, Omar AbuGhneim
Let be bipartite mixed graph and for a unit complex number , be its -hermitian adjacency matrix. If has a unique perfect matching, then has a hermitian in…
Incidence matrices and line graphs of mixed graphs
Mohammad Abudayah, Omar Alomari, Torsten Sander
In the theory of line graphs of undirected graphs there exists an important theorem linking the incidence matrix of the root graph to the adjacency matrix of its line graph. For di…
Hermitian Adjacency Matrices of Mixed Graphs
Mohammad Abudayah, Omar Alomari, Torsten Sander
The traditional adjacency matrix of a mixed graph is not symmetric in general, hence its eigenvalues may be not real. To overcome this obstacle, several authors have recently defin…
Spectrum of free-form Sudoku graphs
Mohammad Abudayah, Omar Alomari, Torsten Sander
A free-form Sudoku puzzle is a square arrangement of m times m cells such that the cells are partitioned into m subsets (called blocks) of equal cardinality. The goal of the puzzle…