Incremental construction properties in dimension two—shellability, extendable shellability and vertex decomposability

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Incremental construction properties in dimension two—shellability, extendable shellability and vertex decomposability

Moriyama, Sonoko; Takeuchi, Fumihiko

Discrete mathematics, 02/2003, Volume: 263, Issue: 1

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We give new examples of shellable, but not extendably shellable two-dimensional simplicial complexes. They include minimal examples that are smaller than those previously known. We also give new examples of shellable, but not vertex decomposable two-dimensional simplicial complexes, including extendably shellable ones. This shows that neither extendable shellability nor vertex decomposability implies the other. We found these examples by enumerating shellable two-dimensional simplicial complexes that are not pseudomanifolds.

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Moriyama, Sonoko | Takeuchi, Fumihiko

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