This paper explores proofs of the isoperimetric inequality for 4-connected shapes on the integer grid Z2 , and its geometric meaning. Pictorially, we discuss ways to place a maxima...
Yaniv Altshuler, Vladimir Yanovski, Daniel Vainsen...
We prove that any collection of n discs in which each one intersects at most k others, can be colored with at most O(log3 k) colors so that for each point p in the union of all di...
I present an algorithm that can provably eliminate slivers in the interior of a tetrahedral mesh, leaving only tetrahedra with dihedral angles between 30 and 135 degrees and radiu...
Despite extensive study over the last four decades and numerous applications, no I/O-efficient algorithm is known for the union-find problem. In this paper we present an I/O-effic...
Gossiping is a communication primitive where each node of a network possesses a unique message that is to be communicated to all other nodes in the network. We study the gossiping ...
In this paper we improve the quality of a recently suggested class of construction heuristics for the Asymmetric Traveling Salesman Problem (ATSP), namely the Contract-or-Patch heu...
We consider scheduling problems that are motivated by an optimization of the transmission schedule of a smart antenna. In these problems we are given a set of messages and a confl...
We consider the problem of finding a short path between any two nodes of a network when no global information is available, nor any oracle to help in routing. A mobile agent, situa...
Ioannis Z. Emiris, Euripides Markou, Aris Pagourtz...