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https://github.com/kalmarek/SmallHyperbolic
synced 2024-11-09 04:05:27 +01:00
add computations of PSL eigenvalues
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@ -6,6 +6,24 @@ git-tree-sha1 = "da0bf98d73f2f34c35d58981fcf139f16749a394"
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@ -81,6 +99,12 @@ git-tree-sha1 = "ed2c4abadf84c53d9e58510b5fc48912c2336fbb"
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@ -162,6 +186,11 @@ git-tree-sha1 = "5c49dab19938b119fe204fd7d7e8e174f4e9c68b"
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@ -209,11 +238,18 @@ uuid = "1b4a561d-cfcb-5daf-8433-43fcf8b4bea3"
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@ -221,6 +257,12 @@ uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
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@ -257,11 +299,17 @@ git-tree-sha1 = "928b8ca9b2791081dc71a51c55347c27c618760f"
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@ -285,6 +333,12 @@ version = "0.3.10"
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uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
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@ -305,6 +359,14 @@ version = "0.3.1"
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uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
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git-tree-sha1 = "8d9d25a274aeec5d5265829d05784276a4841f6d"
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repo-rev = "master"
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repo-url = "https://github.com/kalmarek/RamanujanGraphs.jl"
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@ -336,6 +398,12 @@ version = "0.2.0"
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@ -1,8 +1,10 @@
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[deps]
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PropertyT = "03b72c93-0167-51e2-8a1e-eb4ff1fb940d"
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RamanujanGraphs = "e7bd6bc6-b6b8-11e9-1ec2-2f89442c0d6c"
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SCS = "c946c3f1-0d1f-5ce8-9dea-7daa1f7e2d13"
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19
src/PSL.jl
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19
src/PSL.jl
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@ -0,0 +1,19 @@
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using RamanujanGraphs
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using RamanujanGraphs.LightGraphs
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using Arpack
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Γ, eigenvalues = let q = 109
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a = RamanujanGraphs.PSL₂{q}([ 0 1
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108 11])
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b = RamanujanGraphs.PSL₂{q}([57 2
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52 42])
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S = unique([[a^i for i in 1:4]; [b^i for i in 1:4]])
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@info "Generating set S of $(eltype(S))" S
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@time Γ, verts, vlabels, elabels = RamanujanGraphs.cayley_graph((q^3 - q)÷2, S)
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@assert all(degree(Γ,i) == length(S) for i in vertices(Γ))
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A = adjacency_matrix(Γ)
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@time eigenvalues, _ = eigs(A, nev=5)
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@show Γ eigenvalues
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end
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