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DCOSS
2008
Springer
13 years 9 months ago
Local PTAS for Independent Set and Vertex Cover in Location Aware Unit Disk Graphs
We present the first local approximation schemes for maximum independent set and minimum vertex cover in unit disk graphs. In the graph model we assume that each node knows its geo...
Andreas Wiese, Evangelos Kranakis
ESA
2001
Springer
132views Algorithms» more  ESA 2001»
14 years 1 days ago
Greedy Algorithms for Minimisation Problems in Random Regular Graphs
In this paper we introduce a general strategy for approximating the solution to minimisation problems in random regular graphs. We describe how the approach can be applied to the m...
Michele Zito
JGT
2007
81views more  JGT 2007»
13 years 7 months ago
Independent dominating sets and hamiltonian cycles
A graph is uniquely hamiltonian if it contains exactly one hamiltonian cycle. In this note we prove that there are no r-regular uniquely hamiltonian graphs when r > 22. This im...
Penny E. Haxell, Ben Seamone, Jacques Verstraë...
APPROX
2005
Springer
122views Algorithms» more  APPROX 2005»
14 years 1 months ago
Finding a Maximum Independent Set in a Sparse Random Graph
We consider the problem of finding a maximum independent set in a random graph. The random graph G, which contains n vertices, is modelled as follows. Every edge is included inde...
Uriel Feige, Eran Ofek
CORR
2008
Springer
96views Education» more  CORR 2008»
13 years 7 months ago
Improved Approximations for Multiprocessor Scheduling Under Uncertainty
This paper presents improved approximation algorithms for the problem of multiprocessor scheduling under uncertainty (SUU), in which the execution of each job may fail probabilist...
Christopher Y. Crutchfield, Zoran Dzunic, Jeremy T...