Discrete Mathematics - Topics on domination
Approximation algorithms for NP-complete problems on planar graphs
Journal of the ACM (JACM)
Approximation schemes for covering and packing problems in image processing and VLSI
Journal of the ACM (JACM)
Some optimal inapproximability results
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
NC-approximation schemes for NP- and PSPACE-hard problems for geometric graphs
Journal of Algorithms
Graph classes: a survey
Label placement by maximum independent set in rectangles
WADS '97 Selected papers presented at the international workshop on Algorithms and data structure
Map labeling and its generalizations
SODA '97 Proceedings of the eighth annual ACM-SIAM symposium on Discrete algorithms
Point labeling with sliding labels
Computational Geometry: Theory and Applications - Special issue on applications and challenges
Point set labeling with specified positions
Proceedings of the sixteenth annual symposium on Computational geometry
Intersection Graphs of Noncrossing Arc-Connected Sets in the Plane
GD '96 Proceedings of the Symposium on Graph Drawing
Clique is hard to approximate within n1-
FOCS '96 Proceedings of the 37th Annual Symposium on Foundations of Computer Science
Algorithmic Graph Theory and Perfect Graphs (Annals of Discrete Mathematics, Vol 57)
Algorithmic Graph Theory and Perfect Graphs (Annals of Discrete Mathematics, Vol 57)
Simple heuristics and PTASs for intersection graphs in wireless ad hoc networks
DIALM '02 Proceedings of the 6th international workshop on Discrete algorithms and methods for mobile computing and communications
On-line coloring of geometric intersection graphs
Computational Geometry: Theory and Applications
On Preemptive Resource Constrained Scheduling: Polynomial-Time Approximation Schemes
Proceedings of the 9th International IPCO Conference on Integer Programming and Combinatorial Optimization
Exact Algorithms and Approximation Schemes for Base Station Placement Problems
SWAT '02 Proceedings of the 8th Scandinavian Workshop on Algorithm Theory
Towards a Predictive Computational Complexity Theory
ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
ISAAC '01 Proceedings of the 12th International Symposium on Algorithms and Computation
STACS '02 Proceedings of the 19th Annual Symposium on Theoretical Aspects of Computer Science
Routing and Admission Control in Networks with Advance Reservations
APPROX '02 Proceedings of the 5th International Workshop on Approximation Algorithms for Combinatorial Optimization
On the Clique Problem in Intersection Graphs of Ellipses
ISAAC '02 Proceedings of the 13th International Symposium on Algorithms and Computation
Well-separated pair decomposition for the unit-disk graph metric and its applications
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
Polynomial-time approximation schemes for packing and piercing fat objects
Journal of Algorithms
Parameterized complexity: the main ideas and connections to practical computing
Experimental algorithmics
Theoretical Computer Science
Data-dependent margin-based generalization bounds for classification
The Journal of Machine Learning Research
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
Approximation hardness of optimization problems in intersection graphs of d-dimensional boxes
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Polynomial time approximation schemes for base station coverage with minimum total radii
Computer Networks and ISDN Systems
Local approximation schemes for ad hoc and sensor networks
DIALM-POMC '05 Proceedings of the 2005 joint workshop on Foundations of mobile computing
Simple approximation algorithms and PTASs for various problems in wireless ad hoc networks
Journal of Parallel and Distributed Computing - Special issue: Algorithms for wireless and ad-hoc networks
Independent set of intersection graphs of convex objects in 2D
Computational Geometry: Theory and Applications
Randomized on-line algorithms and lower bounds for computing large independent sets in disk graphs
Discrete Applied Mathematics
Approximating the Maximum Independent Set and Minimum Vertex Coloring on Box Graphs
AAIM '07 Proceedings of the 3rd international conference on Algorithmic Aspects in Information and Management
DCOSS '08 Proceedings of the 4th IEEE international conference on Distributed Computing in Sensor Systems
Multiflows in multihop wireless networks
Proceedings of the tenth ACM international symposium on Mobile ad hoc networking and computing
Cheap or Flexible Sensor Coverage
DCOSS '09 Proceedings of the 5th IEEE International Conference on Distributed Computing in Sensor Systems
Independent set of intersection graphs of convex objects in 2D
Computational Geometry: Theory and Applications
Polynomial time approximation schemes for base station coverage with minimum total radii
Computer Networks: The International Journal of Computer and Telecommunications Networking
Low complexity stable link scheduling for maximizing throughput in wireless networks
SECON'09 Proceedings of the 6th Annual IEEE communications society conference on Sensor, Mesh and Ad Hoc Communications and Networks
Labels, routing, and capacity: bringing theoretical networking closer to practice
INFOCOM'09 Proceedings of the 28th IEEE international conference on Computer Communications Workshops
Algorithms for sensor and ad hoc networks: advanced lectures
Algorithms for sensor and ad hoc networks: advanced lectures
Distributed algorithms for approximating wireless network capacity
INFOCOM'10 Proceedings of the 29th conference on Information communications
Approximation algorithms for intersection graphs
APPROX/RANDOM'10 Proceedings of the 13th international conference on Approximation, and 14 the International conference on Randomization, and combinatorial optimization: algorithms and techniques
Theory and application of width bounded geometric separators
Journal of Computer and System Sciences
Densest k-subgraph approximation on intersection graphs
WAOA'10 Proceedings of the 8th international conference on Approximation and online algorithms
The MST of symmetric disk graphs (in arbitrary metric spaces) is light
WADS'11 Proceedings of the 12th international conference on Algorithms and data structures
Coloring and maximum independent set of rectangles
APPROX'11/RANDOM'11 Proceedings of the 14th international workshop and 15th international conference on Approximation, randomization, and combinatorial optimization: algorithms and techniques
Efficient approximation schemes for geometric problems?
ESA'05 Proceedings of the 13th annual European conference on Algorithms
Geometric clustering to minimize the sum of cluster sizes
ESA'05 Proceedings of the 13th annual European conference on Algorithms
Approximation algorithms for unit disk graphs
WG'05 Proceedings of the 31st international conference on Graph-Theoretic Concepts in Computer Science
Some new directions and questions in parameterized complexity
DLT'04 Proceedings of the 8th international conference on Developments in Language Theory
A robust PTAS for maximum weight independent sets in unit disk graphs
WG'04 Proceedings of the 30th international conference on Graph-Theoretic Concepts in Computer Science
Independence and coloring problems on intersection graphs of disks
Efficient Approximation and Online Algorithms
The MST of Symmetric Disk Graphs (in Arbitrary Metric Spaces) is Light
SIAM Journal on Discrete Mathematics
A basic parameterized complexity primer
The Multivariate Algorithmic Revolution and Beyond
Embedding of virtual network requests over static wireless multihop networks
Computer Networks: The International Journal of Computer and Telecommunications Networking
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A disk graph is the intersection graph of a set of disks with arbitrary diameters in the plane. For the case that the disk representation is given, we present polynomial-time approximation schemes (PTASs) for the maximum weight independent set problem (selecting disjoint disks of maximum total weight) and for the minimum weight vertex cover problem in disk graphs. These are the first known PTASs for NP-hard optimization problems on disk graphs. They are based on a novel recursive subdivision of the plane that allows applying a shifting strategy on different levels simultaneously, so that a dynamic programming approach becomes feasible. The PTASs for disk graphs represent a common generalization of previous results for planar graphs and unit disk graphs. They can be extended to intersection graphs of other “disk-like” geometric objects (such as squares or regular polygons), also in higher dimensions.