https://ogma.newcastle.edu.au/vital/access/ /manager/Index en-au 5 Approximability of a {0,1} - matrix problem https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:2987 Wed 11 Apr 2018 16:18:25 AEST ]]> 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 ]]> Domination chain: Characterisation, classical complexity, parameterised complexity and approximability https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:45878 Tue 06 Dec 2022 08:43:22 AEDT ]]> Two-layer planarization: Improving on parameterized algorithmics https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:169 Thu 25 Jul 2013 09:09:47 AEST ]]> Parametric duality and kernelization: Lower bounds and upper bounds on kernel size https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:153 Thu 25 Jul 2013 09:09:40 AEST ]]> Combining two worlds: parameterised approximation for vertex cover https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12013 k). Additionally, we present an improved polynomial-time approximation algorithm for graphs of average degree four.]]> Sat 24 Mar 2018 08:11:34 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 ]]> Parameterized algorithmics for d-HITTING SET https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:10671 Sat 24 Mar 2018 08:07:17 AEDT ]]> A novel parameterised approximation algorithm for minimum vertex cover https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:16260 Sat 24 Mar 2018 07:54:17 AEDT ]]> Parameterized approximation algorithms for HITTING SET https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:16311 Sat 24 Mar 2018 07:53:20 AEDT ]]> Facility location problems: a parameterized view https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:5981 Sat 24 Mar 2018 07:47:26 AEDT ]]> A refined search tree technique for Dominating Set on planar graphs https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:86 Sat 24 Mar 2018 07:42:15 AEDT ]]> On the complexity landscape of the domination chain https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:24690 log log n), no such result is known for Upper Irredundance. Their complementary versions are constantfactor approximable in polynomial time. All these four versions are APXhard even on cubic graphs.]]> Sat 24 Mar 2018 07:10:53 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 ]]>