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Research Paper | Synapse

February 25, 2024Open Access

Projective dimension and regularity of 3-path ideals of unicyclic graphs

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Abstract

We compute the projective dimension and regularity of 3-path ideals of arbitrary graphs with at most one cycle.

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Hằng et al. (Sun,) studied this question.

synapsesocial.com/papers/68e77b35b6db6435876ef8e2 https://doi.org/https://doi.org/10.48550/arxiv.2402.16166

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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1On the path ideals of chordal graphs2024
2Regularity of the edge ideals of perfect [ν,h]-ary trees and some unicyclic graphs2024
3Loose Hamilton paths in the 3-uniform cube hypergraph2024
4Powers of generalized binomial edge ideals of path graphs2024 · 2 citations
5Minimal Cellular Resolutions of Path Ideals2024