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math.CA2025
Block structure in boolean matrices of bounded factorization norm
Marcel K. Goh, Hamed Hatami
A boolean matrix is blocky if its -entries form a collection of 1-monochromatic submatrices that are disjoint in both rows and columns. Blocky matrices are precisely the set of…
math.CA2025
Block complexity and idempotent Schur multipliers
Marcel K. Goh, Hamed Hatami
We call a matrix blocky if, up to row and column permutations, it can be obtained from an identity matrix by repeatedly applying one of the following operations: duplicating a row,…
math.CO2025
A note on plane trees with decreasing labels
Tsun-Ming Cheung, Luc Devroye, Marcel K. Goh
This note derives asymptotic upper and lower bounds for the number of planted plane trees on nodes assigned labels from the set with the restriction that on…