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Word-representability of triangulations of rectangular polyomino with a single domino tile

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Figure

Figure 1: Non-3-colourable and non-word-representable graphs T1 and T2.
Figure 2: A polyomino with domino tiles (to the left) and one of its trian-gulations (to the right).
Figure 3: All minimal (non-equivalent up to trivial transformations) non-3-colourable and non-word-representable graphs (except for T1 and T2 inFigure 1) for triangulations of rectangular polyominoes with a single hori-zontal domino tile.
Figure 4: Eight possible cases of appearance of colour 4 in colouring of T.
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