We propose an univesal scheme to design loop-free and super-stabilizing protocols for constructing spanning trees optimizing any tree metrics (not only those that are isomorphic to a shortest path tree). Our scheme combines a novel super-stabilizing loop-free BFS with an existing self-stabilizing spanning tree that optimizes a given metric. The composition result preserves the best properties of both worlds: super-stabilization, loop-freedom, and optimization of the original metric without any stabilization time penalty. As case study we apply our composition mechanism to two well known metric-dependent spanning trees: the maximum-flow tree and the minimum degree spanning tree.
@article{arxiv.1006.3009,
title = {Universal Loop-Free Super-Stabilization},
author = {Lélia Blin and Maria Potop-Butucaru and Stephane Rovedakis and Sébastien Tixeuil},
journal= {arXiv preprint arXiv:1006.3009},
year = {2010}
}