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TIT
2008
110views more  TIT 2008»
13 years 8 months ago
Optimal Cross-Layer Scheduling of Transmissions Over a Fading Multiaccess Channel
We consider the problem of several users transmitting packets to a base station, and study an optimal scheduling formulation involving three communication layers, namely, the mediu...
Munish Goyal, Anurag Kumar, Vinod Sharma
SODA
2010
ACM
248views Algorithms» more  SODA 2010»
14 years 6 months ago
Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
Petr Hlineny, Markus Chimani
SIAMCOMP
2000
118views more  SIAMCOMP 2000»
13 years 8 months ago
On Bipartite Drawings and the Linear Arrangement Problem
The bipartite crossing number problem is studied, and a connection between this problem and the linear arrangement problem is established. It is shown that when the arboricity is ...
Farhad Shahrokhi, Ondrej Sýkora, Lás...
WALCOM
2010
IEEE
255views Algorithms» more  WALCOM 2010»
14 years 3 months ago
A Global k-Level Crossing Reduction Algorithm
Abstract. Directed graphs are commonly drawn by the Sugiyama algorithm, where crossing reduction is a crucial phase. It is done by repeated one-sided 2-level crossing minimizations...
Christian Bachmaier, Franz-Josef Brandenburg, Wolf...
APPROX
2004
Springer
136views Algorithms» more  APPROX 2004»
14 years 2 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...