@article{Santhakumaran_2021, title={Graphs of edge-to-vertex detour number 2}, volume={40}, url={https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4454}, DOI={10.22199/issn.0717-6279-4454}, abstractNote={<p><em>For two vertices u and v in a graph G = (V,E), the detour distance D(u, v) is the length of a longest u − v path in G. A u − v path of length D(u, v) is called a u − v detour. For subsets A and B of V , the detour distance D(A,B) is defined as D(A,B) = min{D(x, y) : x ∈ A, y ∈ B}. A u − v path of length D(A,B) is called an A-B detour joining the sets A,B ⊆ V where u ∈ A and v ∈ B. A vertex x is said to lie on an A − B detour if x is a vertex of some A−B detour. A set S ⊆ E is called an edge-to-vertex detour set if every vertex of G is incident with an edge of S or lies on a detour joining a pair of edges of S. The edge-to-vertex detour number dn<sub>2</sub>(G) of G is the minimum order of its edge-to-vertex detour sets and any edge-to-vertex detour set of order dn<sub>2</sub>(G) is an edge-to-vertex detour basis of G. Graphs G of size q for which dn<sub>2</sub>(G) = 2 are characterized.</em></p>}, number={4}, journal={Proyecciones (Antofagasta, On line)}, author={Santhakumaran, A. P.}, year={2021}, month={Jul.}, pages={963-979} }