论文标题
操作的电压操作
Voltage operations on maniplexes
论文作者
论文摘要
对多面体，地图和多面体上的经典几何和拓扑操作通常会产生与原始的对称组相同的对称组的结构，但具有更多的标志。在本文中，我们介绍了关于操作的电压操作的概念，以概括此类操作。我们的技术提供了一种在图理论设置中研究经典操作的方法。实际上，电压操作可以应用于对称类型图，更普遍地应用于N值正确的N边彩色图。我们专注于研究电压操作与操作对象的对称性之间的相互作用，并表明它们有可能被用来用规定的对称型图构建手工。此外，可以将操作视为电压操作的完整表征。
Classical geometric and topological operations on polyhedra, maps and polytopes often give rise to structures with the same symmetry group as the original one, but with more flags. In this paper we introduce the notion of voltage operations on maniplexes, as a way to generalize such operations. Our technique provides a way to study classical operations in a graph theory setting. In fact, voltage operations can be applied to symmetry type graphs, and more generally to n-valent properly n-edge colored graphs. We focus on studying the interactions between voltage operations and the symmetries of the operated object, and show that they can be potentially used to build maniplexes with prescribed symmetry type graphs. Moreover, a complete characterization of when an operation can be seen as a voltage operation is given.
