Any two equivalent planar orthogonal drawings of a disconnected graph with complexity n can be morphed into each other with O(n) linear morphs while preserving planarity, orthogonality, and linear complexity of intermediate drawings.
Deformations of plane rectilinear complexes
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Optimal Morphs of Planar Orthogonal Drawings II
Any two equivalent planar orthogonal drawings of a disconnected graph with complexity n can be morphed into each other with O(n) linear morphs while preserving planarity, orthogonality, and linear complexity of intermediate drawings.