Abstract. In this paper we find a lower bound of the second-order nonlinearities of Boolean bent functions of the form f(x) = Trn 1 (α1xd1 + α2xd2 ), where d1 and d2 are Niho ex...
In a well-known result Goldreich and Trevisan (2003) showed that every testable graph property has a “canonical” tester in which a set of vertices is selected at random and the...
We propose an algorithm for creating superpixels. The major step in our algorithm is simply minimizing two pseudo-boolean functions. The processing time of our algorithm on images...
Yuhang Zhang, Richard Hartley, John Mashford, Stew...
The number of applications in computer vision that model higher-order interactions has exploded over the last few years. The standard technique for solving such problems is to red...
The distribution of fitness values across a set of states sharply influences the dynamics of evolutionary processes and heuristic search in combinatorial optimization. In this p...
In this paper we characterize (octal) bent generalized Boolean functions defined on Zn 2 with values in Z8. Moreover, we propose several constructions of such generalized bent fun...
It is a difficult challenge to find Boolean functions used in stream ciphers achieving all of the necessary criteria and the research of such functions has taken a significant d...
Abstract. Many proposals for logic-based formalizations of argumentation consider an argument as a pair (Φ, α), where the support Φ is understood as a minimal consistent subset ...
Nadia Creignou, Johannes Schmidt, Michael Thomas, ...
It is now known that many properties of the objects in certain combinatorial structures are equivalent, in the sense that any object possessing any of the properties must of neces...
Given a function f : {0, 1}n {0, 1}, let M (f) denote the smallest distance between f and a monotone function on {0, 1}n . Let M (f) denote the fraction of hypercube edges where f...