Circulant matrices and the spectrum of de Bruijn graphs
The block structure of $k$-circulant matrices $A$  of order $n(k\geq 2, k| n)$ is investigated and statements, enabling to reduce a series of problems with the matrices $A+A^T$  to analogous problems with matrices of lower order, namely the blocks of the matrices $A$ &a...
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| Date: | 1992 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8260 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | The block structure of $k$-circulant matrices $A$  of order $n(k\geq 2, k| n)$ is investigated and statements, enabling to reduce a series of problems with the matrices $A+A^T$  to analogous problems with matrices of lower order, namely the blocks of the matrices $A$  and $A^T$, are proved. The spectrum and the number of spanning trees of an undirected de Bruijn graph are obtained. |
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