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» Approximation Algorithms for Geometric Intersection Graphs
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APPROX
2004
Springer
136views Algorithms» more  APPROX 2004»
14 years 24 days 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»
14 years 23 days 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»
14 years 7 days 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
13 years 12 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
12 years 11 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