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- Centre National de la Recherche ScientifiqueFR48 papers
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14 papers · 1 filter
Alliance free sets in Cartesian product graphs
Ismael G. Yero, Juan A. Rodriguez-Velazquez, Sergio Bermudo
Let be a graph. For a non-empty subset of vertices , and vertex , let denote the cardinality of the set of neighbors o…
Saying Hello World with Epsilon - A Solution to the 2011 Instructive Case
Louis M. Rose, Antonio García-Domínguez, James R. Williams +3
Epsilon is an extensible platform of integrated and task-specific languages for model management. With solutions to the 2011 TTC Hello World case, this paper demonstrates some of t…
Roman domination in Cartesian product graphs and strong product graphs
Ismael G. Yero, Juan A. Rodriguez-Velazquez
A set of vertices of a graph is a dominating set for if every vertex outside of is adjacent to at least one vertex belonging to . The minimum cardinality of a do…
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 of a graph is a geodetic set of if every vertex lies on a shortest path between two vertices of . The minimum cardinality of a geodeti…
Simple Cuntz-Pimsner rings
Toke Meier Carlsen, Eduard Ortega, Enrique Pardo
Necessary and sufficient conditions for when every non-zero ideal in a relative Cuntz-Pimsner ring contains a non-zero graded ideal, when a relative Cuntz-Pimsner ring is simple, a…
On the partition dimension of trees
Juan A. Rodriguez-Velazquez, Ismael G. Yero, Magdalena Lemanska
Given an ordered partition of the vertex set of a connected graph , the \emph{partition representation} of a vertex with respect to t…