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Linear Rank-Width of Distance-Hereditary Graphs I. A Polynomial-Time Algorithm

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Academic year: 2021

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Figure 1. Pivoting an edge ab.
Figure 2. The split decomposition D ˚ v ˚ w ˚ v, which is the same as D ^ vw.
Figure 4. The canonical decomposition of a graph of linear rank- rank-width 2. If we regard the marked vertices incident with vertices in the middle bag B as vertices of sub-decompositions after removing B, then each sub-decomposition corresponds to a grap
Figure 5. In paq, we have a canonical decomposition D of a distance-hereditary graph with a bag B

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