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ALGORITHMICA
2011
13 years 7 months ago
Common Intervals of Multiple Permutations
Abstract Given k permutations of n elements, a k-tuple of intervals of these permutations consisting of the same set of elements is called a common interval. We present an algorith...
Steffen Heber, Richard Mayr, Jens Stoye
ALGORITHMICA
2011
13 years 7 months ago
Crossing Number and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G−e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from diffe...
Sergio Cabello, Bojan Mohar
ALGORITHMICA
2011
13 years 7 months ago
On Bounded Leg Shortest Paths Problems
Let V be a set of points in a d-dimensional lp-metric space. Let s, t ∈ V and let L be any real number. An L-bounded leg path from s to t is an ordered set of points which conne...
Liam Roditty, Michael Segal
ALGORITHMICA
2011
13 years 7 months ago
All-Pairs Bottleneck Paths in Vertex Weighted Graphs
Let G = (V, E, w) be a directed graph, where w : V → R is an arbitrary weight function defined on its vertices. The bottleneck weight, or the capacity, of a path is the smalles...
Asaf Shapira, Raphael Yuster, Uri Zwick
ALGORITHMICA
2011
13 years 7 months ago
An Approximation Algorithm for Binary Searching in Trees
We consider the problem of computing efficient strategies for searching in trees. As a generalization of the classical binary search for ordered lists, suppose one wishes to find...
Eduardo Sany Laber, Marco Molinaro
ALGORITHMICA
2011
13 years 7 months ago
Approximation Algorithms for k-hurdle Problems
Brian C. Dean, Adam Griffis, Ojas Parekh, Adam A. ...
ALGORITHMICA
2011
13 years 7 months ago
On Dissemination Thresholds in Regular and Irregular Graph Classes
We investigate the natural situation of the dissemination of information on various graph classes starting with a random set of informed vertices called active. Initially active ve...
Ivan Rapaport, Karol Suchan, Ioan Todinca, Jacques...