If the reached hop distance is larger, then there is already a shorter route to the reached vertex.
In this work, the SOD activity reached vertex at 12 h, indicating its key role in ROS scavenges (Fig. 2d).
Distinguish two cases in which the forward path reaches a dead end: F reaches a vertex v and R reaches a vertex, and all outgoing edges from v were already traversed.
Proof Distinguish two cases in which the forward path reaches a dead end: Case 1 F reaches a vertex v and R reaches a vertex, and all outgoing edges from v were already traversed.
Since v 1 has at least two code symbols associated with its edges in erasure, we can now pick an edge associated with one of the erased symbol to reach another vertex (u_{2} in {mathcal U}) which is different from u 1.
From the fact that both reach the vertex simultaneously, we get that.
It was found that the storage modulus quickly increased, reached a vertex, then rapidly decreased, reached a minimum, and increased again afterwards.
Thus, the label of (l(x_v)) defined in the Lemma indicates the center of (X'), which reaches every vertex (x') in (X') with minimum hops.
Then when the search reaches the vertex of the target point, the minimum ring covering the user's location must be found.
The robot is assumed to have enough sensory capability to traverse graph edges autonomously, recognize when it has reached a vertex, and enumerate edges incident upon the current vertex, locating them relative to the edge via which it entered the current vertex.
