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<p>The neighborhood complex of a graph is well studied in topological combinatorics. We begin a study of Stanley–Reisner rings of neighborhood complexes and their Alexander duals by determining them in some cases. We are in particular interested in finding rings with linear resolutions.</p>

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Stanley–Reisner rings of neighborhood complexes and linear resolutions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月21日

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  • Ralf Fröberg

摘要

The neighborhood complex of a graph is well studied in topological combinatorics. We begin a study of Stanley–Reisner rings of neighborhood complexes and their Alexander duals by determining them in some cases. We are in particular interested in finding rings with linear resolutions.