Abstract

A set W of vertices of a graph G is a restrained Steiner set if W is a Steiner set, and if either W=V or the subgraph G[V-W] induced by V-W has no isolated vertices. The minimum cardinality of a restrained Steiner set of G is the restrained Steiner number of G, and is denoted by sr(G). This article explores the restrained Steiner number of some special graphs.

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