N. Benakli

activity

20022025

collaborators

4 papers

math.CO2025

Metric Dimension of Generalized Theta Graphs

Nadia Benakli, Nicole Froitzheim, David Martinez

A vertex $w$ in a graph $G$ is said to resolve two vertices $u$ and $v$ if $d (w, u) \neq = d (w, v)$ . A set $W$ of vertices is a resolving set for $G$ if every pair of distinct vertices…

math.CO2020

The Threshold Strong Dimension of a Graph

Nadia Benakli, Novi H Bong, Shonda M. Dueck +3

Let $G$ be a connected graph and $u, v$ and $w$ vertices of $G$ . Then $w$ is said to {\em strongly resolve} $u$ and $v$ , if there is either a shortest $u$ - $w$ path that contains $v$ …

math.CO2019

A characterization of 2-neighborhood degree list of diameter 2 graphs

N. Benakli, E. Halleck, S. R. Kingan

Let $N_{2} D L (v)$ denote the set of degrees of vertices at distance 2 from $v$ . The $2$ -neighborhood degree list of a graph is a listing of $N_{2} D L (v)$ for every vertex $v$ . A degree r…

math.GR2002

Boundaries of hyperbolic groups

Ilya Kapovich, Nadia Benakli

We survey the known results regarding the boundaries of word-hyperbolic groups.