activity
20062024
most citedDefensive k-alliances in graphs

33 citations · 47 across the 6 of their papers we have counts for

collaborators

6 papers

cs.DM2024★ 2 cited

Reducing Dominating Sets in Graphs

Ernesto Parra Inza, José María Sigarreta Almira, Nodari Vakhania

A dominating set of a graph is a subset of vertices such that every vertex has at least one neighbor in set . The corresponding opti…

cs.DM2023★ 3 cited

Algorithms for the Global Domination Problem

Ernesto Parra Inza, Nodari Vakhania, Jose M. Sigarreta Almira +1

A dominating set D in a graph G is a subset of its vertices such that every vertex of the graph which does not belong to set D is adjacent to at least one vertex from set D. A set…

cs.DS2022★ 8 cited

Exact and Heuristic Algorithms for the Domination Problem

Ernesto Parra Inza, Frank Angel Hernández Mira, José María Sigarreta Almira +1

In a simple connected graph , a subset of vertices is a dominating set if any vertex is adjacent to some vertex from this subset.…

math.CA2022

Jensen-type inequalities for convex and -convex functions via fractional calculus

Yamilet Quintana, José M. Rodríguez, José M. Sigarreta Almira

Inequalities play an important role in pure and applied mathematics. In particular, Jensen's inequality, one of the most famous inequalities, plays a main role in the study of the…

math.CO2020★ 1 cited

A note on total co-independent domination in trees

Abel Cabrera Martínez, Frank A. Hernández Mira, José M. Sigarreta Almira +1

A set of vertices of a graph is a total dominating set if every vertex of is adjacent to at least one vertex of . The total domination number of is the minimum c…

math.CO2006★ 33 cited

Defensive k-alliances in graphs

J. A. Rodriguez-Velazquez, I. G. Yero, J. M. Sigarreta

Let be a simple graph. For a nonempty set , and a vertex , denotes the number of neighbors has in . A nonempty set …