Adiga, Chandrashekar and Rakshith, B. R. and Wasin So, . (2016) On the mixed adjacency matrix of a mixed graph. Linear Algebra and its Applications, 495. 223 - 241.
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A mixed graph is a graph with edges and arcs, which can be considered as a hybrid of an undirected graph and a directed graph. In this paper we define the mixed adjacency matrix and the mixed energy of a mixed graph. The mixed adjacency matrix generalizes both the adjacency matrix of an undirected graph and the skew-adjacency matrix of a digraph. Then we compute the characteristic polynomial of the mixed adjacency matrix of a mixed graph and deduce some basic results from it. Furthermore, we give bounds to the mixed energy of a general mixed graph, and we compute the mixed energy of some special mixed graphs. At the end of the paper, we introduce mixed unitary Cayley graphs and compute their spectra.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Mixed graph, Mixed adjacency matrix, Mixed energy |
| Subjects: | E Mathematical Science > Mathematics |
| Divisions: | Department of > Mathematics |
| Depositing User: | Manjula P Library Assistant |
| Date Deposited: | 07 Jun 2019 07:42 |
| Last Modified: | 08 Jul 2022 09:56 |
| URI: | http://eprints.uni-mysore.ac.in/id/eprint/2723 |
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