On acyclic simplicial complexes

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A combinatorial decomposition of acyclic simplicial complexes

Stanley, R.P., A combinatorial decomposition of acyclic simplicial complexes, Discrete Mathematics 120 (1993) 175-182. It is proved that if d is a finite acyclic simplicial complex, then there is a subcomplex d’ c d and a bijection q:d’+d-d’ such that Fcq(F) and /q(F)-FJ=l for all FEN’. This improves an earlier result of Kalai. An immediate corollary is a characterization (first due to Kalai) o...

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ژورنال

عنوان ژورنال: Mathematika

سال: 1968

ISSN: 0025-5793,2041-7942

DOI: 10.1112/s002557930000245x