Spectral gap in random bipartite biregular graphs and applications
نویسندگان
چکیده
We prove an analogue of Alon's spectral gap conjecture for random bipartite, biregular graphs. use the Ihara-Bass formula to connect non-backtracking spectrum that adjacency matrix, employing moment method show there exists a matrix. A byproduct our main theorem is rectangular zero-one matrices with fixed row and column sums are full-rank high probability. Finally, we illustrate applications community detection, coding theory, deterministic matrix completion.
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ژورنال
عنوان ژورنال: Combinatorics, Probability & Computing
سال: 2021
ISSN: ['0963-5483', '1469-2163']
DOI: https://doi.org/10.1017/s0963548321000249