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2018
Transactions of the American Mathematical Society
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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 −∆ G and that of −∆ L(G) . Our method is also applicable to (d 1 , d 2 )-semiregular graphs, subdivision graphs and para-line graphs.
doi:10.1090/s0002-9947-99-02497-6
fatcat:5i7exuobzzf5bhmrmrgtzhgs2i