Author

I. G. Yero

3 papers indexed here

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Preprint Sep 2026

A variety of the mutual-visibility coloring problem for graphs

This paper explores variations of vertex-coloring problems defined on graph visibility properties. It introduces and studies the dual, outer, and total mutual-visibility chromatic numbers, which partition the vertex set of a graph into color classes that preserve specific mutual-visibility conditions called dual, outer...

Saneesh Babu, Marko Jakovac, D. Kuziak et al. · 0 citations

Preprint Sep 2026

Vertices that belong to every minimum dominating set of a graph and their connection with transportation sharing systems with study cases in Campo de Gibraltar area

This study addresses a theoretical model regarding equity and accessibility challenges in designing shared transportation systems (such as micro-mobility networks) by applying graph-vertex domination setting. The work focuses on identifying dominating forced vertices, that represent nodes belonging to every dominating...

Mohammad Farhan, D. Kuziak, Iztok Peterin et al. · 0 citations

Preprint Aug 2026

On the Maximum Number of Vertices that Belong to Every Metric Basis

Metric bases of graphs have been widely studied since their introduction in the 1970's by Slater and, independently, by Harary and Melter. In this paper, we concentrate on the existence of vertices in a graph $G$ that belong to all metric bases of $G$. We call these basis forced vertices, and denote the number of them...

Anni Hakanen, Ville Junnila, T. Laihonen et al. · 0 citations