Long directed (s,t)-path: FPT algorithm

Fomin, Fedor V. ; Lokshtanov, Daniel ; Panolan, Fahad ; Saurabh, Saket ; Zehavi, Meirav (2018) Long directed (s,t)-path: FPT algorithm Information Processing Letters, 140 . pp. 8-12. ISSN 0020-0190

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Official URL: http://doi.org/10.1016/j.ipl.2018.04.018

Related URL: http://dx.doi.org/10.1016/j.ipl.2018.04.018

Abstract

Given a digraph G, two vertices s,t∈V(G) and a non-negative integer k, the LONG DIRECTED (s,t)-PATH problem asks whether G has a path of length at least k from s to t. We present a simple algorithm that solves LONG DIRECTED (s,t)-PATH in time O(4.884k). This results also in an improvement upon the previous fastest algorithm for LONG DIRECTED CYCLE.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:123378
Deposited On:15 Sep 2021 11:22
Last Modified:15 Sep 2021 11:22

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