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Partitioned Matrices, Interlacing Eigenvalues and Graphs Willem H. Haemers
Tilburg University Tilburg, The Netherlands |
Abstract:
For about 30 years, I have been using eigenvalue methods in
getting information on combinatorial structures. The first results
appeared in 1979 in my PhD thesis (see poster of combinatorics
II). A major techniques is eigenvalue interlacing. This technique
will be explained, along with several old and new applications.
These application involve the (co)clique size, the chromatic
number, the number of edges in a biclique, and perfect matchings.
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Time: | Sat. May 6, 15:00-16:00 Mon. May 8, 15:00-16:00 Wed. May 10, 15:00-16:00
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Place: | Lecture Hall, Niavaran Bldg., Niavaran Sqr., Tehran, Iran |
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