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cs240a-graphtypes

cs240a-graphtypes - • Finite element meshes CGmats.m •...

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CS240A: Classes of Graphs and Their Properties slides under construction – see the Matlab transcript for what I actually did in class
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Some graph statistics (and Matlab tools) Vertex degree histogram: dhist.m Avg shortest path length or BFS level profile: bfslevels.m Clustering coefficient: ccoeff.m c = 3*(# triangles) / (# connected triples) Laplacian eigenvalues (and vectors): meshpart toolbox Separator size: meshpart toolbox Fill (chordal completion size): analyze.m and amd.m
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Some classes of graphs Graphs observed in the wild (see Florida collection for many examples)
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Unformatted text preview: : • Finite element meshes: CGmats.m • Circuit simulation graphs: circuit_3.mat • Relationship networks: coAuthorsDBLP.mat , PGPgiantcompo.mat • … many others! • Classifications of graphs: • Power-law graphs • Small-world graphs • Planar graphs • Overlap graphs • Generators for classes of graphs: • Erdos-Renyi (flat) random graphs: sprandsym.m • RMAT random graph generator: rmat.m • 2-D and 3-D mesh generators: grid5.m etc. in meshpart toolbox RMAT Approximate Power-Law Graph Strongly Connected Components...
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