Powers of graphs & applications to resolutions of powers of monomial ideals

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dc.contributor.authorCooper, Susan Marie
dc.contributor.authorEl Khoury, Sabine
dc.contributor.authorFaridi, Sara
dc.contributor.authorMayes-Tang, Sarah
dc.contributor.authorMorey, Susan E.
dc.contributor.authorŞega, Liana M.
dc.contributor.authorSpiroff, Sandra
dc.contributor.departmentDepartment of Mathematics
dc.contributor.facultyFaculty of Arts and Sciences (FAS)
dc.contributor.institutionAmerican University of Beirut
dc.date.accessioned2025-01-24T11:24:41Z
dc.date.available2025-01-24T11:24:41Z
dc.date.issued2022
dc.description.abstractThis paper is concerned with the question of whether geometric structures such as cell complexes can be used to simultaneously describe the minimal free resolutions of all powers of a monomial ideal. We provide a full answer in the case of square-free monomial ideals of projective dimension one by introducing a combinatorial construction of a family of (cubical) cell complexes whose 1-skeletons are powers of a graph that supports the resolution of the ideal. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
dc.identifier.doihttps://doi.org/10.1007/s40687-022-00324-4
dc.identifier.eid2-s2.0-85129698875
dc.identifier.urihttp://hdl.handle.net/10938/26090
dc.language.isoen
dc.publisherSpringer Science and Business Media Deutschland GmbH
dc.relation.ispartofResearch in Mathematical Sciences
dc.sourceScopus
dc.subjectTheoretical computer science
dc.subjectMathematics (miscellaneous)
dc.subjectComputational mathematics
dc.subjectApplied mathematics
dc.titlePowers of graphs & applications to resolutions of powers of monomial ideals
dc.typeArticle

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