Corpus ID: 55827434

Spectral gap in random bipartite biregular graphs and applications

@article{Brito2018SpectralGI,
  title={Spectral gap in random bipartite biregular graphs and applications},
  author={Gerandy Brito and Ioana Dumitriu and K. D. Harris},
  journal={arXiv: Probability},
  year={2018}
}
We prove an analogue of Alon's spectral gap conjecture for random bipartite, biregular graphs. We use the Ihara-Bass formula to connect the non-backtracking spectrum to that of the adjacency matrix, employing the moment method to show there exists a spectral gap for the non-backtracking matrix. Finally, we give some applications in machine learning and coding theory. 

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