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COMPGEOM
2005
ACM
13 years 10 months ago
Finding the best shortcut in a geometric network
Given a Euclidean graph G in Rd with n vertices and m edges we consider the problem of adding a shortcut such that the stretch factor of the resulting graph is minimized. Currentl...
Mohammad Farshi, Panos Giannopoulos, Joachim Gudmu...
SODA
2008
ACM
86views Algorithms» more  SODA 2008»
13 years 10 months ago
Space-efficient dynamic orthogonal point location, segment intersection, and range reporting
We describe an asymptotically optimal data-structure for dynamic point location for horizontal segments. For n line-segments, queries take O(log n) time, updates take O(log n) amo...
Guy E. Blelloch
APPROX
2009
Springer
96views Algorithms» more  APPROX 2009»
14 years 3 months ago
On the Optimality of Gluing over Scales
We show that for every α > 0, there exist n-point metric spaces (X, d) where every “scale” admits a Euclidean embedding with distortion at most α, but the whole space req...
Alexander Jaffe, James R. Lee, Mohammad Moharrami
SODA
2012
ACM
191views Algorithms» more  SODA 2012»
11 years 11 months ago
Submatrix maximum queries in Monge matrices and Monge partial matrices, and their applications
We describe a data structure for submatrix maximum queries in Monge matrices or Monge partial matrices, where a query specifies a contiguous submatrix of the given matrix, and it...
Haim Kaplan, Shay Mozes, Yahav Nussbaum, Micha Sha...
CPC
2007
97views more  CPC 2007»
13 years 8 months ago
On an Online Spanning Tree Problem in Randomly Weighted Graphs
Abstract. This paper is devoted to an online variant of the minimum spanning tree problem in randomly weighted graphs. We assume that the input graph is complete and the edge weigh...
Jan Remy, Alexander Souza, Angelika Steger