https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 The many facets of upper domination https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:36150 Tue 18 Feb 2020 10:30:14 AEDT ]]> A parameterized route to exact puzzles: breaking the 2n-barrier for irredundance https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:10045 Sat 24 Mar 2018 08:10:14 AEDT ]]> Breaking the 2ⁿ-barrier for irredundance: two lines of attack https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12245 Sat 24 Mar 2018 08:08:09 AEDT ]]> Upper domination: complexity and approximation https://ogma.newcastle.edu.au/vital/access/ /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 https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:25053 Sat 24 Mar 2018 07:10:44 AEDT ]]>