Graph Fibrations, graph isomorphism and PageRank
author:
Paolo Boldi,
University of Milano
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| Slides | |
| 0:00 | Graph brations, graph isomorphism, and PageRank |
| 1:08 | Things related to PageRank |
| 1:50 | Covering projections in algebraic topology |
| 2:35 | Covering projections in modern mathematics |
| 4:15 | From covering projections to brations |
| 5:52 | My own personal relation with brations |
| 7:58 | A graph is a graph is a graph. . . |
| 8:48 | Graph morphisms |
| 9:39 | Graph bration |
| 10:48 | Graph bration |
| 11:28 | A graph bration is. . . |
| 12:14 | A graph bration is. . . |
| 12:21 | A basic ingredient: universal total graph |
| 13:32 | Basic property of universal total graphs |
| 15:00 | Minimum base |
| 16:12 | Markov chains and graphs |
| 17:35 | Markov chains with restart |
| 19:18 | PageRank as a special case |
| 19:36 | PageRank: an example |
| 19:49 | Markov chains with restart are unichain |
| 20:39 | Invariant distribution and limit behaviours |
| 21:07 | Power series associated to a graph |
| 23:06 | Power series associated to a graph |
| 23:15 | Power series and brations |
| 23:25 | An example |
| 23:43 | Consequences |
| 24:02 | Power series associated to a graph |
| 24:20 | Consequences |
| 24:46 | Markovian spectrally distinguishable graphs |
| 26:21 | Graph brations and graph isomorphism |
| 27:51 | Experimental results |
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