For a prime p and a vector ¯α = (α1, . . . , αk) ∈ Zk p let f (¯α, p) be the largest n such that in each set A ⊆ Zp of n elements one can find x which has a unique repr...
The codegree density γ(F) of an r-graph F is the largest number γ such that there are F-free r-graphs G on n vertices such that every set of r−1 vertices is contained in at le...
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
An n-dimensional hierarchical cubic network (denoted by HCN(n)) contains 2 n n-dimensional hypercubes. The diameter of the HCN(n), which is equal to n+(n+1)/3+1, is about two-thir...
We address the problem of weakly supervised semantic segmentation. The training images are labeled only by the classes they contain, not by their location in the image. On test im...
Alexander Vezhnevets, Vittorio Ferrari, Joachim M....