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SWAT
2010
Springer
302views Algorithms» more  SWAT 2010»
15 years 11 months ago
A Weakly Robust PTAS for Minimum Clique Partition in Unit Disk Graphs
We consider the problem of partitioning the set of vertices of a given unit disk graph (UDG) into a minimum number of cliques. The problem is NP-hard and various constant factor a...
Imran A. Pirwani, Mohammad R. Salavatipour
CPC
2006
110views more  CPC 2006»
15 years 6 months ago
Solving Sparse Random Instances of Max Cut and Max 2-CSP in Linear Expected Time
Abstract. We show that a maximum cut of a random graph below the giantcomponent threshold can be found in linear space and linear expected time by a simple algorithm. In fact, the ...
Alexander D. Scott, Gregory B. Sorkin
SODA
2010
ACM
261views Algorithms» more  SODA 2010»
16 years 3 months ago
Bidimensionality and Kernels
Bidimensionality theory appears to be a powerful framework in the development of meta-algorithmic techniques. It was introduced by Demaine et al. [J. ACM 2005 ] as a tool to obtai...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, ...
ECCC
2010
143views more  ECCC 2010»
15 years 3 months ago
Space-Efficient Algorithms for Reachability in Surface-Embedded Graphs
We consider the reachability problem for a certain class of directed acyclic graphs embedded on surfaces. Let G(m, g) be the class of directed acyclic graphs with m = m(n) source ...
Derrick Stolee, N. V. Vinodchandran
SPAA
2010
ACM
15 years 11 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