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

Proceedings of the Indian Academy of Sciences. Mathematical sciences

FAHIMEH KHOSH-AHANG^1¹ 

[1] Department of Mathematics, Ilam University, P.O. Box 69315-516, Ilam, Iran^1

关键词: Codominated vertex;    edge ideal;    hypergraph;    matching number;    projective dimension;    vertex decomposable;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we generalize the concept of codismantlable graphs tohypergraphs and show that some special vertex decomposable hypergraphs are codismantlable. Then we generalize the concept of bouquet in graphs to hypergraphs to extend some combinatorial invariants of graphs about disjointness of a set of bouquets. We use these invariants to characterize the projective dimension of Stanley–Reisner ring of special hypergraphs in some sense.

【 授权许可】

CC BY