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Terminal Steiner tree problem : Complexity and Algorithms

arXiv CS Tuesday 02 June 2026, 04:00 UTC By Jyothish S, Sadagopan Narasimhan 1 min read
Key Points

arXiv:2606.02325v1 Announce Type: new Abstract: Given a connected graph $G$ and a terminal set $R \subseteq V(G)$, the Steiner tree problem (ST) asks for a tree that spans all of $R$ with at most $r$ vertices from $V(G)\backslash R$, for some integer $r\geq 0$. It is known from (Garey et al.,1977 ) that ST is NP-complete.

arXiv:2606.02325v1 Announce Type: new Abstract: Given a connected graph $G$ and a terminal set $R \subseteq V(G)$, the Steiner tree problem (ST) asks for a tree that spans all of $R$ with at most $r$ vertices from $V(G)\backslash R$, for some integer $r\geq 0$. It is known from (Garey et al.,1977 ) that ST is NP-complete. A Steiner tree in which all terminal vertices are constrained to be leaves is called a terminal Steiner tree. Our study addresses the existence of a terminal Steiner tree, its complexity across various graph classes, black-box applications of the ST, and a fixed-parameter tractable (FPT) algorithm with respect to the number of terminals.
Complexity and Algorithms arXiv:2606.02325v1 (ORG) Steiner (PERSON) Garey et al. (ORG) ST (LOCATION) NP (ORG) Steiner tree (ORG) FPT (ORG)
Originally published by arXiv CS Read original →

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