4 papers
Counting perfect edge dominating sets: extremal results and linear-time algorithms
Luciano N. Grippo, Min Chih Lin, Verónica Moyano +1
An edge of a graph \emph{dominates} itself and each edge adjacent to it. A \emph{perfect edge dominating set} is a subset of edges such that each edge outside the subset is dominat…
Graphs whose vertices of degree at least 2 lie in a triangle
Vinicius L. do Forte, Min Chih Lin, Abilio Lucena +3
A pendant vertex is one of degree one and an isolated vertex has degree zero. A neighborhood star-free (NSF for short) graph is one in which every vertex is contained in a triangle…
On the rank of the distance matrix of graphs
Ezequiel Dratman, Luciano N. Grippo, Verónica Moyano +1
Let be a connected graph with . The -entry of the distance matrix of is the distance between and . In this article, using…
Perfect Edge Domination: Hard and Solvable Cases
Min Chih Lin, Vadim Lozin, Veronica A. Moyano +1
Let be an undirected graph. An edge of dominates itself and all edges adjacent to it. A subset of edges of is an edge dominating set of , if every edge of the g…