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Maximum Clique in Disk-Like Intersection Graphs
[article]

2020
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arXiv
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pre-print

We study the complexity of Maximum Clique in intersection graphs of convex objects in the plane. On the algorithmic side, we extend the polynomial-time algorithm for unit disks [Clark '90, Raghavan and Spinrad '03] to translates of any fixed convex set. We also generalize the efficient polynomial-time approximation scheme (EPTAS) and subexponential algorithm for disks [Bonnet et al. '18, Bonamy et al. '18] to homothets of a fixed centrally symmetric convex set. The main open question on that

arXiv:2003.02583v1
fatcat:e5apjiz7gzgt3cj5s3ujijfjda