Many graph theory can be used to find the number of a chemical structure; a possible one can be used according to the following steps: a) Represent the molecule as an undirected graph $G=(V,E)$, where $V$ is the set of vertices and $E$ is the set of edges (bonds). b) Initialize each vertex $v \in V$ with a value equal to its degree (number of incident edges). c) For a fixed number of iterations or until convergence: a. For each vertex $v$, compute a new value as the sum of the current values of its neighbors (not including itself). b. Update all vertex values simultaneously. d) After the iterations, sort the vertices based on their final values in non-increasing order, tie breaking with smaller labels.

Consider the following 2-Carboxyoxybenzoic acid structure represented as a graph (Numbers in parentheses are temporary labels for reference, not the final numbering.):

Apply the above algorithm for two iterations to this graph. What is the correct ordering of the vertices after these iterations?