Constructing Three Completely Independent Spanning Trees in Locally Twisted Cubes

The problem of constructing independent spanning trees (ISTs) dates back to as early as late 1980s. Given a network G of a certain topology, the question is whether we can, as well as how to, construct a set of independent spanning trees in G . ISTs have proven to be of great importance in many network tasks. The past decade has seen a particularly remarkable increase in the literature on ISTs, manifesting a significant growth of interest. ISTs can be classified into edge-independent spanning trees (edge-ISTs), node-independent spanning trees (node-ISTs), and completely independent spanning trees (CISTs). For a network G , node-ISTs (edge-ISTs) rooted at u are a set of spanning trees rooted at u in G such that there are no common internal nodes (edges) between u and any other node among the paths in these spanning trees. If every node in a set of node-ISTs can act as a root node, the set of trees are called CISTs. This survey aims at bringing together important works on ISTs that have been reported in the literature. It provides a historical perspective of how the field has evolved, and can serve as an integrated useful resource of references for future research on ISTs.

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Constructing Three Completely Independent Spanning Trees in Locally Twisted Cubes

Cited by 2 publications

References 35 publications

Dual-CISTs: Configuring a Protection Routing on Some Cayley Networks

Dual-CISTs: Configuring a Protection Routing on Some Cayley Networks

Independent Spanning Trees in Networks: A Survey

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