Abstract A quasi-equigenerated monomial ideal I in the polynomial ring is a Freiman ideal if where l(I) is the analytic spread of I and is the number of minimal generators of I. Freiman ideals are special since there exists an exact formula computing the minimal number of generators of any of their powers. In this work, we address the question of characterizing which cover ideals of simple graphs are Freiman.

中文翻译：

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关于图的拟等价和 Freiman 覆盖理想

摘要 多项式环中的拟等效单项式理想 I 是 Freiman 理想，如果其中 l(I) 是 I 的解析展开，并且是 I 的最小生成元数。 Freiman 理想是特殊的，因为存在计算最小数量的任何权力的发电机。在这项工作中，我们解决了表征哪些简单图的理想是 Freiman 的问题。