D. Kuziak

activity

20102026

most citedOn the metric dimension of corona product graphs

149 citations · 294 across the 29 of their papers we have counts for

collaborators

Showing 2013Show all

5 papers · 1 filter

math.CO2013★ 1 cited

Strong metric dimension of rooted product graphs

Dorota Kuziak, Ismael G. Yero, Juan A. Rodríguez-Velázquez

Let $G$ be a connected graph. A vertex $w$ strongly resolves a pair $u$ , $v$ of vertices of $G$ if there exists some shortest $u - w$ path containing $v$ or some shortest $v - w$ path…

math.CO2013★ 8 cited

Computing the metric dimension of a graph from primary subgraphs

D. Kuziak, J. A. Rodríguez-Velázquez, I. G. Yero

Let $G$ be a connected graph. Given an ordered set $W = {w_{1}, w_{2}, \dots w_{k}} \subseteq V (G)$ and a vertex $u \in V (G)$ , the representation of $u$ with respect to $W$ is the ordered…

math.CO2013★ 1 cited

On the strong metric generators of strong product graphs

Dorota Kuziak, Ismael G. Yero, Juan A. Rodríguez-Velázquez

Let $G$ be a connected graph. A vertex $w \in V (G)$ strongly resolves two vertices $u, v \in V (G)$ if there exists some shortest $u - w$ path containing $v$ or some shortest $v - w$ path…

math.CO2013★ 1 cited

On the strong metric dimension of Cartesian and direct products of graphs

Juan A. Rodríguez-Velázquez, Ismael G. Yero, Dorota Kuziak +1

Let $G$ be a connected graph. A vertex $w$ {\em strongly resolves} a pair $u, v$ of vertices of $G$ if there exists some shortest $u - w$ path containing $v$ or some shortest $v - w$ p…

math.CO2013★ 2 cited

The metric dimension of strong product graphs

Juan A. Rodriguez-Velazquez, Dorota Kuziak, Ismael G. Yero +1

For an ordered subset $S = {s_{1}, s_{2}, \dots s_{k}}$ of vertices and a vertex $u$ in a connected graph $G$ , the metric representation of $u$ with respect to $S$ is the ordered $k$ -tu…