I. G. Yero

activity

20062026

most citedOn the metric dimension of corona product graphs

149 citations · 707 across the 83 of their papers we have counts for

collaborators

Showing 2011Show all

4 papers · 1 filter

math.CO2011

Alliance free sets in Cartesian product graphs

Ismael G. Yero, Juan A. Rodriguez-Velazquez, Sergio Bermudo

Let $G = (V, E)$ be a graph. For a non-empty subset of vertices $S \subseteq V$ , and vertex $v \in V$ , let $δ_{S} (v) = ∣ {u \in S : uv \in E} ∣$ denote the cardinality of the set of neighbors o…

math.CO2011★ 19 cited

On the partition dimension of unicyclic graphs

Juan A. Rodriguez-Velazquez, Ismael G. Yero, Henning Fernau

Given an ordered partition $Π = {P_{1}, P_{2}, ..., P_{t}}$ of the vertex set $V$ of a connected graph $G = (V, E)$ , the \emph{partition representation} of a vertex $v \in V$ with respect to t…

math.CO2011

Analogies between the geodetic number and the Steiner number of some classes of graphs

Ismael G. Yero, Juan A. Rodriguez-Velazquez

A set of vertices $S$ of a graph $G$ is a geodetic set of $G$ if every vertex $v \neq \in S$ lies on a shortest path between two vertices of $S$ . The minimum cardinality of a geodeti…

math.CO2011★ 48 cited

On the partition dimension of trees

Juan A. Rodriguez-Velazquez, Ismael G. Yero, Magdalena Lemanska

Given an ordered partition $Π = {P_{1}, P_{2}, ..., P_{t}}$ of the vertex set $V$ of a connected graph $G = (V, E)$ , the \emph{partition representation} of a vertex $v \in V$ with respect to t…