Introduces TIM width generalizing VIM width and gives meta-algorithms that characterize FPT problems including temporal Hamiltonian path and dominating set.
3 Kyriakos Axiotis and Dimitris Fotakis
4 Pith papers cite this work. Polarity classification is still indexing.
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Maximizing reachability in k-path temporal graphs via budgeted shifts is FPT when parameterized by k and b together or by k alone, but intractable in most other parameterizations with matching XP algorithms.
d-MinIntSep is NP-hard and inapproximable to within a logarithmic factor; an ILP formulation computes minimum interval separators and is tested on synthetic and real transportation temporal networks.
Two new approximation algorithms for SW-TVC on always-star temporal graphs achieve 2Δ-1 and Δ-1 ratios in O(T) and O(TmΔ²) time respectively, with exact solutions for small Δ.
citing papers explorer
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Families of tractable problems with respect to vertex-interval-membership width and its generalisations
Introduces TIM width generalizing VIM width and gives meta-algorithms that characterize FPT problems including temporal Hamiltonian path and dominating set.
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Maximizing Reachability via Shifting of Temporal Paths
Maximizing reachability in k-path temporal graphs via budgeted shifts is FPT when parameterized by k and b together or by k alone, but intractable in most other parameterizations with matching XP algorithms.
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Testing Robustness of Temporal Transportation Networks via Interval Separators
d-MinIntSep is NP-hard and inapproximable to within a logarithmic factor; an ILP formulation computes minimum interval separators and is tested on synthetic and real transportation temporal networks.
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New Approximations for Temporal Vertex Cover on Always Star Temporal Graphs
Two new approximation algorithms for SW-TVC on always-star temporal graphs achieve 2Δ-1 and Δ-1 ratios in O(T) and O(TmΔ²) time respectively, with exact solutions for small Δ.