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math.CO2022
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…
math.CO2022
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…
math.CO2022
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…