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An antichain is a collection of sets in which no two sets are comparable under set inclusion. An antichain A is flat if there exists an integer k 0 such that every
The basic functional equations for connected and 2-connnected graphs can be traced back to the statistical physicists Mayer and Husimi. They play an essential role in establishing...
The Ramsey game we consider in this paper is played on an unbounded set of vertices by two players, called Builder and Painter. In one move Builder introduces a new edge and Paint...
Jaroslaw Grytczuk, Mariusz Haluszczak, Henry A. Ki...
We describe an adaptation of the billiard algorithm for finding dense packings of equal spheres inside a domain of the euclidean space. In order to improve the convergence of this...