Domination Parameters in Hypertrees

TLDR: The domination, total domination, locating-domination and locating-total domination numbers for hypertrees are determined.

Abstract: A locating-dominating set LDS S of a graph G is a dominating set S of G such that for every two vertices u and v in $$VG \setminus S$$, $$Nu\cap S \ne Nv\cap S$$. The locating-domination number $$\gamma ^{L}G$$ is the minimum cardinality of a LDS of G. Further if S is a total dominating set then S is called a locating-total dominating set. In this paper we determine the domination, total domination, locating-domination and locating-total domination numbers for hypertrees.