Scholarlink

<p>It will be proved that a <i>k</i>-clique in the 1-skeleton of either the order polytope or the chain polytope corresponds to the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11083_2025_9709_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="52" /> </InlineMediaObject> <EquationSource Format="TEX">\((k-1)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>k</mi> <mo>-</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>-face, which is a simplex, in each polytope. These results generalize the known explicit descriptions of edges and triangular 2-faces of each polytope.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Simplex Faces of Order and Chain Polytopes

  • 期刊论文

  • 发表日期：

    2025年8月29日

查看全文
  • Aki Mori

摘要

It will be proved that a k-clique in the 1-skeleton of either the order polytope or the chain polytope corresponds to the \((k-1)\) ( k - 1 ) -face, which is a simplex, in each polytope. These results generalize the known explicit descriptions of edges and triangular 2-faces of each polytope.