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The Spectrum of an Infinite Graph
| Content Provider | Semantic Scholar |
|---|---|
| Author | Urakawa, Hajime |
| Copyright Year | 2000 |
| Abstract | In this paper, we consider the (essential) spectrum of the discrete Laplacian of an infinite graph. We introduce a new quantity for an infinite graph, in terms of which we give new lower bound estimates of the (essential) spectrum and give also upper bound estimates when the infinite graph is bipartite. We give sharp estimates of the (essential) spectrum for several examples of infinite graphs. |
| Starting Page | 1057 |
| Ending Page | 1084 |
| Page Count | 28 |
| File Format | PDF HTM / HTML |
| DOI | 10.4153/cjm-2000-044-2 |
| Volume Number | 52 |
| Alternate Webpage(s) | https://cms.math.ca/cjm/abstract/pdf/149237.pdf |
| Alternate Webpage(s) | https://doi.org/10.4153/cjm-2000-044-2 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |