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• W3017240709 abstract "We consider Independent Set and Dominating Set restricted to VPG graphs (or, equivalently, string graphs). We show that they both remain $mathsf{NP}$-hard on $B_0$-VPG graphs admitting a representation such that each grid-edge belongs to at most one path and each horizontal path has length at most two. On the other hand, combining the well-known Baker's shifting technique with bounded mim-width arguments, we provide simple PTASes on VPG graphs admitting a representation such that each grid-edge belongs to at most $t$ paths and the length of the horizontal part of each path is at most $c$, for some $c geq 1$." @default.
• W3017240709 created "2020-04-24" @default.
• W3017240709 creator A5022905636 @default.
• W3017240709 creator A5084259822 @default.
• W3017240709 date "2020-04-16" @default.
• W3017240709 modified "2023-09-27" @default.
• W3017240709 title "Approximating Independent Set and Dominating Set on VPG graphs." @default.
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• W3017240709 hasPublicationYear "2020" @default.
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