Explicit expanders of every degree and size
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Publication:2236654
DOI10.1007/s00493-020-4429-xzbMath1488.05288arXiv2003.11673OpenAlexW3127684563MaRDI QIDQ2236654
Publication date: 25 October 2021
Published in: Combinatorica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.11673
Random graphs (graph-theoretic aspects) (05C80) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Expander graphs (05C48)
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Cites Work
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- Explicit group-theoretical constructions of combinatorial schemes and their application to the design of expanders and concentrators
- Discrete groups, expanding graphs and invariant measures. With an appendix by Jonathan D. Rogawski
- Explicit construction of linear sized tolerant networks
- Ramanujan graphs
- Eigenvalues and expanders
- On the second eigenvalue of a graph
- Some geometric aspects of graphs and their eigenfunctions
- Existence and explicit constructions of \(q+1\) regular Ramanujan graphs for every prime power \(q\)
- Entropy waves, the zig-zag graph product, and new constant-degree expanders
- Interlacing families. I: Bipartite Ramanujan graphs of all degrees
- The Difference Between Consecutive Primes, II
- A Combinatorial Construction of Almost-Ramanujan Graphs Using the Zig-Zag Product
- A new proof of Friedman's second eigenvalue theorem and its extension to random lifts
- Expander graphs and their applications
- A proof of Alon’s second eigenvalue conjecture and related problems
- Expander graphs and gaps between primes
- Eigenvalues and expansion of regular graphs
- Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression