标记管与图的多面体
Marked tubes and the graph multiplihedron
摘要：
给定一个图G，构造一个凸多胞体，其面偏序集是基于G的标记子图的。称为图多面体，我们提供了一个实现使用整数坐标。这不仅产生了一个自然推广的多面体，但功能的多面体出现在作品有关绗缝磁盘，边界黎曼曲面，和操作结构。图的多重面体的某些例子与单形和立方体的闵可夫斯基和有关，而其他例子则与置换面体有关。
英文摘要：
Given a graph G, we construct a convex polytope whose face poset is based on marked subgraphs of G. Dubbed the graph multiplihedron, we provide a realization using integer coordinates. Not only does this yield a natural generalization of the multiphihedron, but features of this polytope appear in works related to quilted disks, bordered Riemann surfaces, and operadic structures. Certain examples of graph multiplihedra are related to Minkowski sums of simplices and cubes and others to the permutohedron.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
