Arxiv
| Presentation Name： | The Dual Cheeger Constant and Spectra of infinite graphs |
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| Presenter： | Dr. Frank Bauer |
| Date： | 2014-06-18 |
| Location： | 光华东主楼1801 |
| Abstract⚰️： | Abstract: In this talk we discuss the top of the spectrum of the normalized Laplace operator on in finite graphs. We introduce the dual Cheeger constant and show that it controls the top of the spectrum from above and below in a similar way as the Cheeger constant controls the bottom of the spectrum. Moreover, we show that the dual Cheeger constant at infi nity can be used to characterize that the essential spectrum of the normalized Laplace operator shrinks to one point. |
| Annual Speech Directory： | No.82 |
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