The study of alternating sign matrices (ASMs) occupies a central position in enumerative combinatorics, linking intricate algebraic methods with models from statistical physics. ASMs are square ...

私が最初の記事の(1)式が正しいと思った理由を説明します。 以下の記述はRechard P. Stanley, "Enumerative Combinatorics Volume I"のChapter 3の内容の抜粋です。 半順序集合 $${(P, \leq)}$$を有限半順序集合とします。 ここで$${(P, \leq)}$$が有限半順序集合とは、有限集合$${P} ...

There is a growing body of literature describing the properties of marketed drugs, the concept of drug-likeness and the vastness of chemical space. In that context, enumerative combinatorics with ...

Abstract: The problem of communicating covertly over the Internet has recently received considerable attention from both industry and academic communities. However, the previously proposed network ...

In this math and artificial intelligence project I list and construct new computational models with various states at the algebraic and geometric methods level in enumerative combinatorics. #My ...

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