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cs.CC2023
The iteration time and the general position number in graph convexities
Julio Araujo, Mitre C. Dourado, Fábio Protti +1
In this paper, we study two graph convexity parameters: iteration time and general position number. The iteration time was defined in 1981 in the geodesic convexity, but its comput…
math.CO2023★ 3 cited
All-path convexity: Combinatorial and complexity aspects
Fábio Protti, João V. C. Thompson
Let be any collection of paths of a graph . For , define $I(S)=S\cup\{v\mid v \ \mbox{lies in a path of} \ ¶\ \mbox{with endpoints in} \ S\}$. Let $\C$ b…
math.CO2023
Computing the hull and interval numbers in the weakly toll convexity
Mitre C. Dourado, Marisa Gutierrez, Fábio Protti +1
A walk of a graph is a \textit{weakly toll walk} if , implies , and implies $u_j=u…