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» Approximation Algorithms for Geometric Intersection Graphs
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APPROX
2004
Springer
136views Algorithms» more  APPROX 2004»
15 years 3 months ago
On the Crossing Spanning Tree Problem
Given an undirected n-node graph and a set C of m cuts, the minimum crossing tree is a spanning tree which minimizes the maximum crossing of any cut in C, where the crossing of a c...
Vittorio Bilò, Vineet Goyal, R. Ravi, Mohit...
ISAAC
2004
Springer
170views Algorithms» more  ISAAC 2004»
15 years 2 months ago
Spanners, Weak Spanners, and Power Spanners for Wireless Networks
For c ∈ R, a c-spanner is a subgraph of a complete Euclidean graph satisfying that between any two vertices there exists a path of weighted length at most c times their geometric...
Christian Schindelhauer, Klaus Volbert, Martin Zie...
GMP
2010
IEEE
190views Solid Modeling» more  GMP 2010»
15 years 2 months ago
A Subdivision Approach to Planar Semi-algebraic Sets
Abstract. Semi-algebraic sets occur naturally when dealing with implicit models and boolean operations between them. In this work we present an algorithm to efficiently and in a ce...
Angelos Mantzaflaris, Bernard Mourrain
STACS
2001
Springer
15 years 2 months ago
On the Complexity of Computing Minimum Energy Consumption Broadcast Subgraphs
We consider the problem of computing an optimal range assignment in a wireless network which allows a specified source station to perform a broadcast operation. In particular, we ...
Andrea E. F. Clementi, Pierluigi Crescenzi, Paolo ...
INFOCOM
2011
IEEE
14 years 1 months ago
Sharing multiple messages over mobile networks
—Information dissemination in a large network is typically achieved when each user shares its own information or resources with each other user. Consider n users randomly located...
Yuxin Chen, Sanjay Shakkottai, Jeffrey G. Andrews