Abstract | ||
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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 |
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2019 | arXiv: Discrete Mathematics | Journal |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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Mitre Dourado | 1 | 90 | 18.43 |