A new randomized algorithm is presented for computing the characteristic polynomial of an n × n matrix over a field. Over a sufficiently large field the asymptotic expected com...
We prove that the union complexity of a set of n constantcomplexity locally fat objects (which can be curved and/or non-convex) in the plane is O(λt+2(n) log n), where t is the m...
This paper proposes a natural and efficient way to achieve staircase reduction in texture extraction models of image processing. Moreover, we propose a precise framework for this ...
It is consistent that there is a set mapping from the four-tuples of n into the finite subsets with no free subsets of size tn for some natural number tn. For any n < it is con...
A homomorphism from a graph G to a graph H (in this paper, both simple, undirected graphs) is a mapping f : V (G) → V (H) such that if uv ∈ E(G) then f(u)f(v) ∈ E(H). The pro...