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» On the maximum number of edges in quasi-planar graphs
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WAOA
2005
Springer
142views Algorithms» more  WAOA 2005»
15 years 3 months ago
On the Minimum Load Coloring Problem
Given a graph G = (V, E) with n vertices, m edges and maximum vertex degree ∆, the load distribution of a coloring ϕ : V → {red, blue} is a pair dϕ = (rϕ, bϕ), where rϕ i...
Nitin Ahuja, Andreas Baltz, Benjamin Doerr, Ales P...
SPAA
2010
ACM
15 years 2 months ago
Fast distributed approximation algorithms for vertex cover and set cover in anonymous networks
We present a distributed algorithm that finds a maximal edge packing in O(∆ + log∗ W) synchronous communication rounds in a weighted graph, independent of the number of nodes...
Matti Åstrand, Jukka Suomela
79
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DISOPT
2010
129views more  DISOPT 2010»
14 years 9 months ago
Labeled Traveling Salesman Problems: Complexity and approximation
We consider labeled Traveling Salesman Problems, defined upon a complete graph of n vertices with colored edges. The objective is to find a tour of maximum or minimum number of co...
Basile Couëtoux, Laurent Gourvès, J&ea...
APPROX
2007
Springer
115views Algorithms» more  APPROX 2007»
15 years 3 months ago
Improved Approximation Algorithms for the Spanning Star Forest Problem
A star graph is a tree of diameter at most two. A star forest is a graph that consists of node-disjoint star graphs. In the spanning star forest problem, given an unweighted graph ...
Ning Chen, Roee Engelberg, C. Thach Nguyen, Prasad...
WG
2004
Springer
15 years 2 months ago
The Computational Complexity of the Minimum Weight Processor Assignment Problem
In portable multimedia systems a number of communicating tasks has to be performed on a set of heterogeneous processors. This should be done in an energy-efficient way. We give th...
Hajo Broersma, Daniël Paulusma, Gerard J. M. ...