Birs- 16w5111: Algebraic and Spectral Graph Theory

  1. Title:
    Two existence proofs for Ramanujan graphs

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  2. Title:
    Strongly refuting random constraint satisfaction problems below the spectral threshold

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  3. Title:
    Open problems on random walks and expanders

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    Improved Spectral Sparsification and Kadison-Singer for Sums of Higher-rank Matrices

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  5. Title:
    Bakry-Emery curvature functions of graphs

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  6. Title:
    High-dimensional permutations and discrepancy

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  7. Title:
    Non-backtracking random walks

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  8. Title:
    Spectral algorithms via sums-of-squares proofs

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  9. Title:
    Low Radius Decompositions

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  10. Title:
    Interior point based maximum flow algorithms make sense

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  11. Title:
    Algorithm Frameworks Based on Adaptive Sampling

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  12. Title:
    On fully dynamic graph sparsifiers

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  13. Title:
    Hermitian adjacency matrix of directed graphs

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  14. Title:
    Strongly Rayleigh distributions and their Applications in Algorithm Design

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  15. Title:
    Sheaves on Graphs, Laplacians, and Applications

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  16. Title:
    Quantum walks on graphs

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  17. Title:
    Iteratively Reweighted Least Squares Method for Sparse Recovery

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  18. Title:
    Distributed Graph Clustering by Load Balancing

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  19. Title:
    Faster Algorithms for Computing the Stationary Distribution, Simulating Random Walks, and More

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  20. Title:
    Partitioning a Probability Distribution from a Sample

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