@inbook{018aa8db48e5407cb96ddde36f11d284,
title = "Projective Dimension of Hypergraphs",
abstract = "Given a square-free monomial ideal I, satisfying certain hypotheses, in a polynomial ring R over a field K, we compute the projective dimension of I. Specifically, we focus on the cases where the 1-skeleton of an associated hypergraph is either a string or a cycle. We investigate the impact on the projective dimension when higher dimensional edges are removed. We prove that the higher dimensional edge either has no effect on the projective dimension or the projective dimension only goes up by one with the extra higher dimensional edge.",
keywords = "Hypergraphs, Monomial ideals, Projective dimension",
author = "Lin, {Kuei Nuan} and Sonja Mapes",
note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.",
year = "2021",
doi = "10.1007/978-3-030-91986-3_16",
language = "English (US)",
series = "Association for Women in Mathematics Series",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "369--398",
booktitle = "Association for Women in Mathematics Series",
address = "Germany",
}