

























Abstract:We extend the notion of mex, which is central in combinatorial number theory, to an arbitrary combinatorial structure, and we prove a general theorem to determine the generating function of the objects having fixed mex. We then study this new mex statistic for several classical combinatorial structures, by providing the mex generating function and/or a closed formula for its coefficients in each of the cases.
From: Luca Ferrari [view email]
[v1]
Thu, 28 May 2026 13:47:02 UTC (38 KB)
[v2]
Sun, 14 Jun 2026 14:35:13 UTC (38 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。