Proves two CISTs exist in every 3-connected 2-outerplanar triangulated disc, supplies conditions for 3-outerplanar cases, and exhibits a 4-outerplanar counterexample.
Hasunuma, Completely independent spanning trees in line graphs, Graphs and Combinatorics 39 (2023) 90
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Completely Independent Spanning Trees in $k$-Outerplanar Triangulated Discs
Proves two CISTs exist in every 3-connected 2-outerplanar triangulated disc, supplies conditions for 3-outerplanar cases, and exhibits a 4-outerplanar counterexample.