Abstract
Let G be an infinite d-regular graph and L(G) its line graph. We consider discrete Laplacians on G and L(G), and show the exact relation between the spectrum of -Δc and that of -ΔL(G), Our method is also applicable to (d1,d2)-seiniregular graphs, subdivision graphs and para-line graphs.
| Original language | English |
|---|---|
| Pages (from-to) | 115-132 |
| Number of pages | 18 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 352 |
| Issue number | 1 |
| Publication status | Published - Dec 1 2000 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics
Cite this
The spectrum of infinite regular line graphs. / Shirai, Tomoyuki.
In: Transactions of the American Mathematical Society, Vol. 352, No. 1, 01.12.2000, p. 115-132.Research output: Contribution to journal › Article
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TY - JOUR
T1 - The spectrum of infinite regular line graphs
AU - Shirai, Tomoyuki
PY - 2000/12/1
Y1 - 2000/12/1
N2 - Let G be an infinite d-regular graph and L(G) its line graph. We consider discrete Laplacians on G and L(G), and show the exact relation between the spectrum of -Δc and that of -ΔL(G), Our method is also applicable to (d1,d2)-seiniregular graphs, subdivision graphs and para-line graphs.
AB - Let G be an infinite d-regular graph and L(G) its line graph. We consider discrete Laplacians on G and L(G), and show the exact relation between the spectrum of -Δc and that of -ΔL(G), Our method is also applicable to (d1,d2)-seiniregular graphs, subdivision graphs and para-line graphs.
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UR - http://www.scopus.com/inward/citedby.url?scp=22844454199&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:22844454199
VL - 352
SP - 115
EP - 132
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
SN - 0002-9947
IS - 1
ER -