Graphs with unique zero forcing sets and Grundy dominating sets
Boštjan Brešar,
Tanja Dravec
Abstract:The concept of zero forcing was introduced in the context of linear algebra, and was further studied by both graph theorists and linear algebraists. It is based on the process of activating vertices of a graph G starting from a set of vertices that are already active, and applying the rule that an active vertex with exactly one non-active neighbor forces that neighbor to become active. A set S ⊂ V (G) is called a zero forcing set of G if initially only vertices of S are active and the described process enforce… Show more
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