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math.CO2019★ 4 cited
The Multivariate Schwartz-Zippel Lemma
M. Levent Doğan, Alperen A. Ergür, Jake D. Mundo +1
Motivated by applications in combinatorial geometry, we consider the following question: Let be an -partition of a positive integer , $S_i \subseteq…
math.CO2019
The rank of sparse random matrices
Amin Coja-Oghlan, Alperen A. Ergür, Pu Gao +2
We determine the rank of a random matrix over an arbitrary field with prescribed numbers of non-zero entries in each row and column. As an application we obtain a formula for the r…