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A network can contain numerous spanning trees. If two spanning trees$T_i,T_j$ do not share any common edges, $T_i$ and $T_j$ are said to bepairwisely edge-disjoint. For spanning trees $T_1, T_2, ..., T_m$, if any twoof them are pairwisely edge-disjoint, they are called completelyedge-independent spanning trees (CEISTs for short). CEISTs can facilitate manynetwork functionalities, and constructing CEISTs as maximally allowed aspossible in a given network is a worthy undertaking. In this paper, weestablish the maximal number of CEISTs in the locally twisted cube network, andpropose an algorithm to construct $\lfloor \frac{n}{2} \rfloor$ CEISTs in$LTQ_n$, the $n$-dimensional locally twisted cube. The proposed algorithm hasbeen actually implemented, and we present the outputs. Network broadcasting inthe $LTQ_n$ was simulated using $\lfloor\frac{n}{2}\rfloor$ CEISTs, and theperformance compared with broadcasting using a single tree.

On Completely Edge-Independent Spanning Trees in Locally Twisted Cubes