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· 2025 · arXiv 2510.19707

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math.AC 1

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2026 1

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UNVERDICTED 1

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$\textbf{k}$-neighborhood ideals of graphs

math.AC · 2026-06-06 · unverdicted · novelty 6.0

Introduces k-neighborhood ideals NI_k(G) of graphs and studies their Castelnuovo-Mumford regularity, projective dimension, and Cohen-Macaulayness with combinatorial characterizations in the degree-vector and edge-ideal cases.

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  • $\textbf{k}$-neighborhood ideals of graphs math.AC · 2026-06-06 · unverdicted · none · ref 17

    Introduces k-neighborhood ideals NI_k(G) of graphs and studies their Castelnuovo-Mumford regularity, projective dimension, and Cohen-Macaulayness with combinatorial characterizations in the degree-vector and edge-ideal cases.