Parameterized Complexity of Geodetic Set

A vertex set $S$ of a graph $G$ is geodetic if every vertex of $G$ lies on a shortest path between two vertices in $S$. Given a graph $G$ and $k \in \mathbb{N}$, the NP-hard ${\rm G{\small EODETIC}~S{ \small ET}}$ problem asks whether there is a geodetic set of size at most $k$. Complementing variou...

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Bibliographic Details
Published in:Journal of graph algorithms and applications Vol. 26; no. 4; pp. 401 - 419
Main Authors: Kellerhals, Leon, Koana, Tomohiro
Format: Journal Article
Language:English
Published: 01.07.2022
ISSN:1526-1719, 1526-1719
Online Access:Get full text
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