The rank of the sandpile group of random directed bipartite graphs

DOI10.1007/s00026-023-00637-3zbMath1526.05063arXiv2106.06352OpenAlexW3171170898MaRDI QIDQ6084667

Jake Koenig, Jack DePascale, Atal Bhargava

Publication date: 6 November 2023

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.06352

zbMATH Keywords

asymptotic distributionrandom bipartite graph\(p\)-ranksandpile group

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Random matrices (probabilistic aspects) (60B20) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Random matrices (algebraic aspects) (15B52) Directed graphs (digraphs), tournaments (05C20)

Cites Work

• Unnamed Item
• On subspaces spanned by random selections of \(\pm 1\) vectors
• Random integral matrices: universality of surjectivity and the cokernel
• Stein's method and the rank distribution of random matrices over finite fields
• Sandpile groups and the coeulerian property for random directed graphs
• Quantum unique ergodicity for random bases of spectral projections
• Surjectivity of near-square random matrices
• Some new results in random matrices over finite fields
• The distribution of sandpile groups of random regular graphs
• The distribution of sandpile groups of random graphs
• Random integral matrices and the Cohen-Lenstra heuristics

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