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On various (strong) rainbow connection numbers of graphs

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 نشر من قبل Xueliang Li
 تاريخ النشر 2016
  مجال البحث
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An edge-coloured path is emph{rainbow} if all the edges have distinct colours. For a connected graph $G$, the emph{rainbow connection number} $rc(G)$ is the minimum number of colours in an edge-colouring of $G$ such that, any two vertices are connected by a rainbow path. Similarly, the emph{strong rainbow connection number} $src(G)$ is the minimum number of colours in an edge-colouring of $G$ such that, any two vertices are connected by a rainbow geodesic (i.e., a path of shortest length). These two concepts of connectivity in graphs were introduced by Chartrand et al.~in 2008. Subsequently, vertex-colour



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