In this paper, we study the two-dimensional geometrical bin packing problem (2DBP): given a list of rectangles, provide a packing of all these into the smallest possible number of ...
Abstract. Algorithms dealing with massive data sets are usually designed for I/O-efficiency, often captured by the I/O model by Aggarwal and Vitter. Another aspect of dealing with ...
We consider the pair (pi, fi) as a force with two-dimensional direction vector fi applied at the point pi in the plane. For a given set of forces we ask for a non-crossing geometri...
Abstract. We consider minimum equivalent digraph problem, its maximum optimization variant and some non-trivial extensions of these two types of problems motivated by biological an...
Since the invention of AVL trees in 1962, a wide variety of ways to balance binary search trees have been proposed. Notable are red-black trees, in which bottom-up rebalancing afte...
Bernhard Haeupler, Siddhartha Sen, Robert Endre Ta...
Abstract. Algorithms or target functions for graph clustering rarely admit quality guarantees or optimal results in general. Based on properties of minimum-cut trees, a clustering ...
We analyze the problem of packing squares in an online fashion: Given an semi-infinite strip of width 1 and an unknown sequence of squares with side lengths in [0, 1] that arrive...
Locked tree linkages have been known to exist in the plane since 1998, but it is still open whether they have a polynomial-time characterization. This paper examines the properties...
Brad Ballinger, David Charlton, Erik D. Demaine, M...
We present a succinct representation of a set of n points on an n × n grid using n lg n + o(n lg n) bits3 to support orthogonal range counting in O(lg n/ lg lg n) time, and range ...
Prosenjit Bose, Meng He, Anil Maheshwari, Pat Mori...