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 2021Show all

9 papers · 1 filter

math.CO2021

Relating the outer-independent total Roman domination number with some classical parameters of graphs

Abel Cabrera Martínez, Dorota Kuziak, Ismael G. Yero

For a given graph $G$ without isolated vertex we consider a function $f : V (G) \to {0, 1, 2}$ . For every $i \in {0, 1, 2}$ , let $V_{i} = {v \in V (G) : f (v) = i}$ . The function $f…

math.CO2021★ 19 cited

Metric dimension related parameters in graphs: A survey on combinatorial, computational and applied results

Dorota Kuziak, Ismael G. Yero

Topics concerning metric dimension related invariants in graphs are nowadays intensively studied. This compendium of combinatorial and computational results on this topic is an att…

math.CO2021★ 10 cited

Injective coloring of graphs revisited

Boštjan Brešar, Babak Samadi, Ismael G. Yero

An open packing in a graph $G$ is a set $S$ of vertices in $G$ such that no two vertices in $S$ have a common neighbor in $G$ . The injective chromatic number $χ_{i} (G)$ of $G$ is the…

math.CO2021

Roman domination in direct product graphs and rooted product graphs

Abel Cabrera Martinez, Iztok Peterin, Ismael G. Yero

Let $G$ be a graph with vertex set $V (G)$ . A function $f : V (G) \to {0, 1, 2}$ is a Roman dominating function on $G$ if every vertex $v \in V (G)$ for which $f (v) = 0$ is adjacent…

math.CO2021

A Steiner general position problem in graph theory

Sandi Klavžar, Dorota Kuziak, Iztok Peterin +1

Let $G$ be a graph. The Steiner distance of $W \subseteq V (G)$ is the minimum size of a connected subgraph of $G$ containing $W$ . Such a subgraph is necessarily a tree called a Stei…

math.CO2021★ 1 cited

On Vertices Contained in All or in No Metric Basis

Anni Hakanen, Ville Junnila, Tero Laihonen +1

A set $R \subseteq V (G)$ is a resolving set of a graph $G$ if for all distinct vertices $v, u \in V (G)$ there exists an element $r \in R$ such that $d (r, v) \neq = d (r, u)$ . The metric…