THE JACOBSON GRAPH OVER ????????? AND THE EIGENVALUE OF ITS ADJACENCY MATRIX
The Jacobson graph is a kind of graph over rings. For every prime number ????, the Jacobson radical of ????????? has a special pattern. The structure of Jacobson graph over ????????? can be identified through the structure of Jacobson graph over ?????. From this, we obtain some theoretical proper...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/39159 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | The Jacobson graph is a kind of graph over rings. For every prime number ????, the
Jacobson radical of ????????? has a special pattern. The structure of Jacobson graph over
????????? can be identified through the structure of Jacobson graph over ?????. From this,
we obtain some theoretical properties of the structure of Jacobson graph over ?????????.
The Jacobson graph over ????????? is a simple and finite graph, so we can also define the
adjacency matrix of this graph. The eigenvalues and their multiplicities are
computed to determine the spectrum of the graph. |
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