/manager/Index ${session.getAttribute("locale")} 5 The many facets of upper domination /manager/Repository/uon:36150 Tue 18 Feb 2020 10:30:14 AEDT ]]> Upper domination: complexity and approximation /manager/Repository/uon:24680 0, making it significantly harder than Dominating Set, while it remains hard even on severely restricted special cases, such as cubic graphs (APX-hard), and planar subcubic graphs (NP-hard). We complement our negative results by showing that the problem admits an O(Δ) approximation on graphs of maximum degree Δ, as well as an EPTAS on planar graphs. Along the way, we also derive essentially tight n1−1d upper and lower bounds on the approximability of the related problem Maximum Minimal Hitting Set on d-uniform hypergraphs, generalising known results for Maximum Minimal Vertex Cover.]]> Sat 24 Mar 2018 07:10:51 AEDT ]]> Algorithmic aspects of upper domination: a parameterised perspective /manager/Repository/uon:25053 Sat 24 Mar 2018 07:10:44 AEDT ]]>