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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id-itb.:391592019-06-24T11:16:29ZTHE JACOBSON GRAPH OVER ????????? AND THE EIGENVALUE OF ITS ADJACENCY MATRIX Adiastuti, Rina Indonesia Theses rings, Jacobson graph, adjacency matrix, spectrum INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/39159 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. text |
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Institut Teknologi Bandung |
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Indonesia Indonesia |
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Indonesia |
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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. |
| format |
Theses |
| author |
Adiastuti, Rina |
| spellingShingle |
Adiastuti, Rina THE JACOBSON GRAPH OVER ????????? AND THE EIGENVALUE OF ITS ADJACENCY MATRIX |
| author_facet |
Adiastuti, Rina |
| author_sort |
Adiastuti, Rina |
| title |
THE JACOBSON GRAPH OVER ????????? AND THE EIGENVALUE OF ITS ADJACENCY MATRIX |
| title_short |
THE JACOBSON GRAPH OVER ????????? AND THE EIGENVALUE OF ITS ADJACENCY MATRIX |
| title_full |
THE JACOBSON GRAPH OVER ????????? AND THE EIGENVALUE OF ITS ADJACENCY MATRIX |
| title_fullStr |
THE JACOBSON GRAPH OVER ????????? AND THE EIGENVALUE OF ITS ADJACENCY MATRIX |
| title_full_unstemmed |
THE JACOBSON GRAPH OVER ????????? AND THE EIGENVALUE OF ITS ADJACENCY MATRIX |
| title_sort |
jacobson graph over ????????? and the eigenvalue of its adjacency matrix |
| url |
https://digilib.itb.ac.id/gdl/view/39159 |
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1821997698834759680 |