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In this paper, we propose a completely distributed scheme where every single node can determine whether it is a cut vertex or not.
We use our new decomposition tool to design three practical algorithms for the maximum cut, vertex cover and vertex separator problems.
DARA identifies a cut vertex through two-hop neighborhood information.
It should be noted that the uncritical node cannot be a cut vertex while the critical node may be a cut vertex.
To compute this, cut vertex method is used as adopted in Ref. [34].
To identify a cut vertex requires global information, which is impossible and inefficient in WSANs.
Similar(34)
Alfadhly et al. [15] proposed a least distance movement recovery algorithm, in which a set of direct neighbours of the failed node move towards the position of the failed node while its original position is replaced with the nearest non-cut vertex actor.
We say that a vertex v is a 1-cut vertex if all edges incident on v are cut edges.
Though there have been many distributed cut-vertex detection algorithms, they are time-consuming and resource-intensive.
Since y1 is a cut-vertex, we have that a sun of G′ belongs to the graph G′ [V].
Let x be a cut-vertex of a graph G, and (G_{1} ) be a component of (G - x).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com