Michael A. Henning

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math.CO2024

Progress towards the two-thirds conjecture on locating-total dominating sets

Dipayan Chakraborty, Florent Foucaud, Anni Hakanen +2

We study upper bounds on the size of optimum locating-total dominating sets in graphs. A set $S$ of vertices of a graph $G$ is a locating-total dominating set if every vertex of $G…

math.CO2024

Indicated total domination game

Michael A. Henning, Douglas F. Rall

A vertex $u$ in a graph $G$ totally dominates a vertex $v$ if $u$ is adjacent to $v$ in $G$ . A total dominating set of $G$ is a set $S$ of vertices of $G$ such that every vertex of…