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» The Shortcut Problem - Complexity and Approximation
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SWAT
2010
Springer
242views Algorithms» more  SWAT 2010»
13 years 3 months ago
Minimizing the Diameter of a Network Using Shortcut Edges
We study the problem of minimizing the diameter of a graph by adding k shortcut edges, for speeding up communication in an existing network design. We develop constant-factor appro...
Erik D. Demaine, Morteza Zadimoghaddam
APPROX
2009
Springer
125views Algorithms» more  APPROX 2009»
13 years 11 months ago
Minimizing Average Shortest Path Distances via Shortcut Edge Addition
We consider adding k shortcut edges (i.e. edges of small fixed length δ ≥ 0) to a graph so as to minimize the weighted average shortest path distance over all pairs of vertices...
Adam Meyerson, Brian Tagiku
COMPGEOM
2005
ACM
13 years 6 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...
ICALP
2009
Springer
14 years 5 months ago
Correlation Clustering Revisited: The "True" Cost of Error Minimization Problems
Correlation Clustering was defined by Bansal, Blum, and Chawla as the problem of clustering a set of elements based on a possibly inconsistent binary similarity function between e...
Nir Ailon, Edo Liberty
MFCS
2007
Springer
13 years 11 months ago
On Approximation of Bookmark Assignments
Consider a rooted directed acyclic graph G = (V, E) with root r, representing a collection V of web pages connected via a set E of hyperlinks. Each node v is associated with the pr...
Yuichi Asahiro, Eiji Miyano, Toshihide Murata, Hir...