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Monomization of Power Ideals and Parking Functions

2010/02/24 by Craig J. Desjardins, Craig Desjardins, Desjardins, Craig
Mathematics · #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Graph theory and applications #Rings, Modules, and Algebras #math.AC #math.CO

paper · pdf · doi:10.48550/arxiv.1002.4445

arxiv created 2010/02/24 · openalex publication_date 2010/02/24 · arxiv updated 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we find a monomization of a certain power ideal associated to a directed graph. This power ideal has been studied in several settings. The combinatorial method described here extends earlier work of other, and will work on several other types of power ideals, as will appear in later work.

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