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)
Separators for sphere-packings and nearest neighbor graphs
Journal of the ACM (JACM)
NC-approximation schemes for NP- and PSPACE-hard problems for geometric graphs
Journal of Algorithms
Algorithms for Vertex Partitioning Problems on Partial k-Trees
SIAM Journal on Discrete Mathematics
JCDCG '98 Revised Papers from the Japanese Conference on Discrete and Computational Geometry
Polynomial-time approximation schemes for packing and piercing fat objects
Journal of Algorithms
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
Polynomial-Time Approximation Schemes for Geometric Intersection Graphs
SIAM Journal on Computing
Efficient approximation schemes for geometric problems?
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
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
A Deterministic Linear Time Algorithm For Geometric Separators And Its Applications
Fundamenta Informaticae
Approximating geometric coverage problems
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
Multiflows in multihop wireless networks
Proceedings of the tenth ACM international symposium on Mobile ad hoc networking and computing
Minimum Interference Planar Geometric Topology in Wireless Sensor Networks
WASA '09 Proceedings of the 4th International Conference on Wireless Algorithms, Systems, and Applications
Domination in geometric intersection graphs
LATIN'08 Proceedings of the 8th Latin American conference on Theoretical informatics
Minimum vertex cover in rectangle graphs
ESA'10 Proceedings of the 18th annual European conference on Algorithms: Part I
Minimum vertex cover in rectangle graphs
Computational Geometry: Theory and Applications
Tracking moving objects with few handovers
WADS'11 Proceedings of the 12th international conference on Algorithms and data structures
Optimization problems in dotted interval graphs
WG'12 Proceedings of the 38th international conference on Graph-Theoretic Concepts in Computer Science
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We consider Maximum Independent Set and Minimum Vertex Cover on disk graphs. We propose an asymptotic FPTAS for Minimum Vertex Cover on disk graphs of bounded ply. This scheme can be extended to an EPTAS on arbitrary disk graphs, improving on the previously known PTAS [8]. We introduce the notion of level density for disk graphs, which is a generalization of the notion of ply. We give an asymptotic FPTAS for Maximum Independent Set on disk graphs of bounded level density, which is also a PTAS on arbitrary disk graphs. The schemes are a geometric generalization of Baker's EPTASs for planar graphs [3]