articulation point

(redirected from Cut vertex)
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articulation point

[är‚tik·yə′lā·shən ‚pȯint]
(chemical engineering)
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The failure of the cut vertex node 14 leaves nodes 13 and 15 was isolated from the rest of the network connection.
The DARA (Distributed Actor Recovery Algorithm)[4] requires each node to maintain their two-hop neighbors list and also determine the opportunity of the recovery progression by checking whether the failure node is a cut vertex or not.
Note, however, that v cannot be adjacent to all of V(G)|C, as every cut vertex splits V(G)|C into (at least) two non-empty connected components.
2, we know that there is a vertex v [member of] F such that v is not a cut vertex.
If a big block Q contains a unique cut vertex and G - Q is connected, then Q is called a terminal block; if the big block Q contains a unique cut vertex and G - Q is disconnected, then Q is called a suspending block of G.
1) If Q is either a terminal block or a suspending block, then the cut vertex v of Q belongs to A;
Since G has no cut vertex, so [absolute value of U] [greater than or equal to] 2.
A vertex, v, is called a cut vertex if G \ v is disconnected.
Proof: Suppose G - S has a cut vertex y and that G has the structure as depicted in Figure 2.
Case I: Every block of G is incident at the same cut vertex.
A cut vertex of a graph is one whose removal disconnects the graph.
B] (c) [less than or equal to] 2 for the unique cut vertex [member of] [member of] B then 9: Delete B from T 10: end if 11: end if 12: end for 13: if T is a path then 14: return TRUE 15: else 16: return FALSE 17: end if