Explicit Near-Fully X-Ramanujan Graphs

Explicit Near-Fully X-Ramanujan Graphs

IEEE FOCS: Foundations of Computer Science via YouTube Direct link

Spectrally resembling infinite graphs

5 of 11

5 of 11

Spectrally resembling infinite graphs

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Explicit Near-Fully X-Ramanujan Graphs

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  1. 1 Intro
  2. 2 Ramanujan graphs: Finite graphs which resemble infinite graphs
  3. 3 Random finite graphs which resemble infinite graphs
  4. 4 Beyond d-regular trees
  5. 5 Spectrally resembling infinite graphs
  6. 6 Adjacency matrix
  7. 7 Consider the formal polynomial
  8. 8 Approach: finite permutations
  9. 9 Matrix-weighted polynomials
  10. 10 Our results
  11. 11 Open problems

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