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Jul 15 at 16:45 comment added Gabe K Thanks, but I believe this applies to regular graphs. The statistics for planar graphs might be very different.
Jul 15 at 15:24 history edited Carlo Beenakker CC BY-SA 4.0
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Jul 15 at 15:17 history edited Carlo Beenakker CC BY-SA 4.0
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Jul 15 at 15:13 comment added Carlo Beenakker @GabeK -- there is indeed a graph analogue of the semicircle law, I've added the formula.
Jul 15 at 15:12 history edited Carlo Beenakker CC BY-SA 4.0
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Jul 15 at 14:38 comment added Gabe K As a follow up to @Pulcinella's question, is there a known distribution for the spectrum of a random planar graph? Random matrices often follow a semi-circle law, but I'm not sure what the correct analogue to that is here.
Jul 15 at 13:26 comment added Pulcinella Can you write down a concrete result/conjecture that you claim is the correct analogue of Weyl's formula?
Jul 15 at 10:34 history answered Carlo Beenakker CC BY-SA 4.0