5 papers
A Polynomial Kernel for Face Cover on Non-Embedded Planar Graphs
Thekla Hamm, Sukanya Pandey, Krisztina Szilágyi
Given a planar graph, a subset of its vertices called terminals, and , the Face Cover Number problem asks whether the terminals lie on the boundaries of at most $…
Planar Multiway Cut with Terminals on Few Faces
Sukanya Pandey, Erik Jan van Leeuwen
We consider the \textsc{Edge Multiway Cut} problem on planar graphs. It is known that this can be solved in time [Klein, Marx, ICALP 2012] and not in $n^{o(\sqrt{…
Computing Subset Vertex Covers in -Free Graphs
Nick Brettell, Jelle J. Oostveen, Sukanya Pandey +3
We consider a natural generalization of Vertex Cover: the Subset Vertex Cover problem, which is to decide for a graph , a subset and integer , if has…
Edge Multiway Cut and Node Multiway Cut are NP-complete on subcubic graphs
Matthew Johnson, Barnaby Martin, Siani Smith +3
We show that Edge Multiway Cut (also called Multiterminal Cut) and Node Multiway Cut are NP-complete on graphs of maximum degree (also known as subcubic graphs). This improves…
Complexity Framework for Forbidden Subgraphs II: Edge Subdivision and the "H"-graphs
Vadim Lozin, Barnaby Martin, Sukanya Pandey +4
For a fixed set of graphs, a graph is -subgraph-free if does not contain any as a (not necessarily induced) subgraph. A recently propo…