The spectrum of infinite regular line graphs

Tomoyuki Shirai

doi:10.1090/s0002-9947-99-02497-6

The spectrum of infinite regular line graphs

Tomoyuki Shirai

Research output: Contribution to journal › Article › peer-review

40 Citations (Scopus)

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 -Δ_L(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
DOIs	https://doi.org/10.1090/s0002-9947-99-02497-6
Publication status	Published - 2000
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1090/s0002-9947-99-02497-6

Cite this

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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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The spectrum of infinite regular line graphs

Abstract

All Science Journal Classification (ASJC) codes

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