G. Antonoiu et Pk. Srimani, A SELF-STABILIZING DISTRIBUTED ALGORITHM TO CONSTRUCT AN ARBITRARY SPANNING TREE OF A CONNECTED GRAPH, Computers & mathematics with applications, 30(9), 1995, pp. 1-7
We propose a simple self-stabilizing distributed algorithm that mainta
ins an arbitrary spanning tree in a connected graph. In proving the co
rrectness of the algorithm, we develop a new technique without using a
bounded function (which is customary for proving correctness of self-
stabilizing algorithms); the new approach is simple and can be potenti
ally applied to proving correctness of other self-stabilizing algorith
ms.