Path ideals of weighted graphs

Bethany Kubik, Sean Sather-Wagstaff

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We introduce and study the weighted r-path ideal of a weighted graph Gω, which is a common generalization of Conca and De Negri's r-path ideal for unweighted graphs and Paulsen and Sather-Wagstaff's edge ideal of the weighted graph. Over a field, we explicitly describe primary decompositions of these ideals, and we characterize Cohen-Macaulayness of these ideals for trees (with arbitrary r) and complete graphs (for r=2).

Original languageEnglish (US)
Pages (from-to)3889-3912
Number of pages24
JournalJournal of Pure and Applied Algebra
Volume219
Issue number9
DOIs
StatePublished - Sep 1 2015

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