Adhya, Amita Samanta; Mondal, Sukumar; Barman, Sambhu Charan
(Discrete Mathematics, Algorithms and Applications, 2021-01)
For a connected graph G(V,E) and a fixed integer r > 0, a node q ∈ V r-dominates another node s ∈ V if d(q, s) ≤ r. An edge (q, s) is r-neighborhood covered by a vertex t, if d(q, t) ≤ r and d(s, t) ≤ r, i.e., both the ...