Title
Computing the hull number in toll convexity.
Abstract
A walk $W$ between vertices $u$ and $v$ of a graph $G$ is called a {em tolled walk between $u$ and $v$} if $u$, as well as $v$, has exactly one neighbour in $W$. A set $S subseteq V(G)$ is {em toll convex} if the vertices contained in any tolled walk between two vertices of $S$ are contained in $S$. The {em toll convex hull of $S$} is the minimum toll convex set containing~$S$. The {em toll hull number of $G$} is the minimum cardinality of a set $S$ such that the toll convex hull of $S$ is $V(G)$. The main contribution of this work is an algorithm for computing the toll hull number of a general graph in polynomial time.
Year
Venue
DocType
2019
arXiv: Discrete Mathematics
Journal
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
Mitre Dourado19018.43