206 citations · 246 across the 10 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
cs.CC2020
Shrinkage of Decision Lists and DNF Formulas
Benjamin Rossman
We establish nearly tight bounds on the expected shrinkage of decision lists and DNF formulas under the -random restriction for all values of . For a…
cs.CC2020★ 4 cited
Monotone Circuit Lower Bounds from Robust Sunflowers
Bruno Pasqualotto Cavalar, Mrinal Kumar, Benjamin Rossman
Robust sunflowers are a generalization of combinatorial sunflowers that have applications in monotone circuit complexity, DNF sparsification, randomness extractors, and recent adva…
cs.CC2020
Tree-depth and the Formula Complexity of Subgraph Isomorphism
Deepanshu Kush, Benjamin Rossman
For a fixed "pattern" graph , the $\textit{colored $G$-subgraph isomorphism problem}$ (denoted ) asks, given an -vertex graph and a coloring $V(H) \to V(…