• A Note on Outer-Independent 2-Rainbow Domination in Graphs 

      Cabrera-Martínez, Abel (MDPI, 2022)
      Let G be a graph with vertex set V(G) and f:V(G)→{∅,{1},{2},{1,2}} be a function. We say that f is an outer-independent 2-rainbow dominating function on G if the following two conditions hold: (i)V∅={x∈V(G):f(x)=∅} is an ...
    • New Bounds for Three Outer-Independent Domination-Related Parameters in Cactus Graphs 

      Cabrera-Martínez, Abel; Rueda-Vázquez, Juan Manuel; Segarra, Jaime (MDPI, 2024)
      Let G be a nontrivial connected graph. For a set D _ V(G), we define D = V(G) n D. The set D is a total outer-independent dominating set of G if jN(v) \ Dj _ 1 for every vertex v 2 V(G) and D is an independent set of G. ...