O(n^3 log n) algorithm computes maximum (weighted) independent sets for disk graphs with all disks on the convex hull, plus O(n^3 log^2 n) for k-dispersion on the same inputs.
Approximation Algorithms for Maxi mum Independent Set of Pseudo-Disks
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Existence of bounded-genus supports for cross-free intersection hypergraphs from connected subgraphs of bounded-genus host graphs, generalizing prior planar results.
Proves NP-hardness of selecting a maximum centre-disjoint subset of disks with merging of the rest and gives ILP plus linear-time algorithm for collinear centers.
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Maximum Independent Sets in Disk Graphs with Disks in Convex Position
O(n^3 log n) algorithm computes maximum (weighted) independent sets for disk graphs with all disks on the convex hull, plus O(n^3 log^2 n) for k-dispersion on the same inputs.
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On Supports for graphs of bounded genus
Existence of bounded-genus supports for cross-free intersection hypergraphs from connected subgraphs of bounded-genus host graphs, generalizing prior planar results.
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Maximum Centre-Disjoint Mergeable Disks
Proves NP-hardness of selecting a maximum centre-disjoint subset of disks with merging of the rest and gives ILP plus linear-time algorithm for collinear centers.