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In this paper firstly, we generalize the concept of codismantlable graphs tohypergraphs and show that some special vertex decomposable hypergraphs arecodismantlable. Then we generalize the concept of bouquet in graphs tohypergraphs to extend some combinatorial invariants of graphs aboutdisjointness of a set of bouquets. We use these invariants to characterize theprojective dimension of Stanley-Reisner ring of special hypergraphs in somesense.

Codismantlability and projective dimension of the Stanley-Reisner ring of special hypergraphs