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arXiv · 1901.07735

Domination Parameters in Hypertrees and Sibling trees

Indra Rajasingh·R. Jayagopal·R. Sundara Rajan
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Abstract

A locating-dominating set (LDS) of a graph $G$ is a dominating set $S$ of $G$ such that for every two vertices $u$ and $v$ in $V(G) \setminus S$, $N(u)\cap S \neq N(v)\cap S$. The locating-domination number $γ^{L}(G)$ 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 and sibling trees.

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Indra Rajasingh, R. Jayagopal, R. Sundara Rajan. 2019-01-23. Domination Parameters in Hypertrees and Sibling trees. https://arxiv.org/abs/1901.07735

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