Temporal Graph Classes: A View Through Temporal Separators

Till Fluschnik; Hendrik Molter; Rolf Niedermeier; Malte Renken; Philipp Zschoche

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arXiv · 1803.00882

Temporal Graph Classes: A View Through Temporal Separators

Till Fluschnik·Hendrik Molter·Rolf Niedermeier·Malte Renken·Philipp Zschoche

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Abstract

We investigate the computational complexity of separating two distinct vertices s and z by vertex deletion in a temporal graph. In a temporal graph, the vertex set is fixed but the edges have (discrete) time labels. Since the corresponding Temporal (s, z)-Separation problem is NP-hard, it is natural to investigate whether relevant special cases exist that are computationally tractable. To this end, we study restrictions of the underlying (static) graph---there we observe polynomial-time solvability in the case of bounded treewidth---as well as restrictions concerning the "temporal evolution" along the time steps. Systematically studying partially novel concepts in this direction, we identify sharp borders between tractable and intractable cases.

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BibTeX RIS

Till Fluschnik, Hendrik Molter, Rolf Niedermeier, Malte Renken, Philipp Zschoche. 2018-03-01. Temporal Graph Classes: A View Through Temporal Separators. https://arxiv.org/abs/1803.00882

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