Journal article

All-Path Convexity: Two Characterizations, General Position Number, and One Algorithm



Published in:

Discrete Mathematics Letters
all-path convexity
Interval space
block graph
gated set
general position number

We present two characterizations for the all-path convex sets in graphs. Using the first criterion, we obtain a new characterization of connected block graphs and compute the general position number in a graph with respect to the all-path convexity. The second criterion allows us to provide a new algorithm for testing a set on all-path convexity.